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Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics

Unifying Themes in Complex Systems VII - Proceedings of the Seventh International Conference on Complex Systems (Paperback,... Unifying Themes in Complex Systems VII - Proceedings of the Seventh International Conference on Complex Systems (Paperback, 2012)
Ali A. Minai, Dan Braha, Yaneer Bar-Yam
R4,356 Discovery Miles 43 560 Ships in 10 - 15 working days

The International Conference on Complex Systems (ICCS) creates a unique atmosphere for scientists of all fields, engineers, physicians, executives, and a host of other professionals to explore common themes and applications of complex system science. With this new volume, Unifying Themes in Complex Systems continues to build common ground between the wide-ranging domains of complex system science.

Reinforcement Learning (Paperback, Softcover reprint of the original 1st ed. 1992): Richard S. Sutton Reinforcement Learning (Paperback, Softcover reprint of the original 1st ed. 1992)
Richard S. Sutton
R5,544 Discovery Miles 55 440 Ships in 10 - 15 working days

Reinforcement learning is the learning of a mapping from situations to actions so as to maximize a scalar reward or reinforcement signal. The learner is not told which action to take, as in most forms of machine learning, but instead must discover which actions yield the highest reward by trying them. In the most interesting and challenging cases, actions may affect not only the immediate reward, but also the next situation, and through that all subsequent rewards. These two characteristics -- trial-and-error search and delayed reward -- are the most important distinguishing features of reinforcement learning. Reinforcement learning is both a new and a very old topic in AI. The term appears to have been coined by Minsk (1961), and independently in control theory by Walz and Fu (1965). The earliest machine learning research now viewed as directly relevant was Samuel's (1959) checker player, which used temporal-difference learning to manage delayed reward much as it is used today. Of course learning and reinforcement have been studied in psychology for almost a century, and that work has had a very strong impact on the AI/engineering work. One could in fact consider all of reinforcement learning to be simply the reverse engineering of certain psychological learning processes (e.g. operant conditioning and secondary reinforcement). Reinforcement Learning is an edited volume of original research, comprising seven invited contributions by leading researchers.

Exobiology: Matter, Energy, and Information in the Origin and Evolution of Life in the Universe - Proceedings of the Fifth... Exobiology: Matter, Energy, and Information in the Origin and Evolution of Life in the Universe - Proceedings of the Fifth Trieste Conference on Chemical Evolution: An Abdus Salam Memorial Trieste, Italy, 22-26 September 1997 (Paperback, Softcover reprint of the original 1st ed. 1998)
Julian Chela-Flores, Francois Raulin
R6,354 Discovery Miles 63 540 Ships in 10 - 15 working days

Leading researchers in the area of the origin, evolution and distribution of life in the universe contributed to Exobiology: Matter, Energy, and Information in the Origin and Evolution of Life in the Universe. This volume provides a review of this interdisciplinary field. In 50 chapters many aspects that contribute to exobiology are reviewed by 90 authors. These include: historical perspective of biological evolution; cultural aspects of exobiology, cosmic, chemical and biological evolution, molecular biology, geochronology, biogeochemistry, biogeology, and planetology. Some of the current missions are discussed. Other subjects in the frontier of exobiology are reviewed, such as the search for planets outside the solar system, and the possible manifestation of intelligence in those new potential environments. The SETI research effort is well represented in this general overview of exobiology. This book is the proceedings of the Fifth Trieste Conference on Chemical Evolution that took place in September 1997. The volume is dedicated to the memory of Nobel Laureate Abdus Salam who suggested the initiation of the Trieste conferences on chemical evolution and the origin of life. Audience: Graduate students and researchers in the many areas of basic, earth, and life sciences that contribute to the study of chemical evolution and the origin, evolution and distribution of life in the universe.

Theory and Applications of Stochastic Processes - An Analytical Approach (Paperback, 2010 ed.): Zeev Schuss Theory and Applications of Stochastic Processes - An Analytical Approach (Paperback, 2010 ed.)
Zeev Schuss
R1,946 Discovery Miles 19 460 Ships in 10 - 15 working days

Stochastic processes and diffusion theory are the mathematical underpinnings of many scientific disciplines, including statistical physics, physical chemistry, molecular biophysics, communications theory and many more. Many books, reviews and research articles have been published on this topic, from the purely mathematical to the most practical.

This book offers an analytical approach to stochastic processes that are most common in the physical and life sciences, as well as in optimal control and in the theory of filltering of signals from noisy measurements. Its aim is to make probability theory in function space readily accessible to scientists trained in the traditional methods of applied mathematics, such as integral, ordinary, and partial differential equations and asymptotic methods, rather than in probability and measure theory.

Boundary Element Analysis of Plates and Shells (Paperback, Softcover reprint of the original 1st ed. 1991): Dimitri E. Beskos Boundary Element Analysis of Plates and Shells (Paperback, Softcover reprint of the original 1st ed. 1991)
Dimitri E. Beskos
R5,109 Discovery Miles 51 090 Ships in 10 - 15 working days

The analysis of plates and shells under static and dynamic loads is of greatinterest to scientists and engineers both from the theoretical and the practical viewpoint. The Boun- dary Element Method (BEM) has some distinct advantages over domain techniques such as the Finite Difference Method (FDM) and the Finite Element Method (FEM) for a wide class of structuralanalysis problems. This is the first book to deal specifically with the analysis of plates and shells by the BEM and to cover all aspects of their behaviour, and combi- nes tutorial and state-of-the-art articles on the BEM as ap- plied to plates and shells. It aims to inform scientists and engineers about the use and the advantages of this techni- que, the most recent developments in the field and the per- tinent literature for further study.

Fluctuations and Sensitivity in Nonequilibrium Systems - Proceedings of an International Conference, University of Texas,... Fluctuations and Sensitivity in Nonequilibrium Systems - Proceedings of an International Conference, University of Texas, Austin, Texas, March 12-16, 1984 (Paperback, Softcover reprint of the original 1st ed. 1984)
W. Horsthemke, D.K. Kondepudi
R2,883 Discovery Miles 28 830 Ships in 10 - 15 working days

This volume contains the invited lectures and a selection of the contributed papers and posters of the workshop on "Fluctuations and Sensitivity in Nonequil ibrium Systems", held at the Joe C. Thompson Conference Center, Un i vers ity of Texas at Austin, March 12-16, 1984. The workshop dealt with stochastic phenomena and sensi- tivity in nonequilibrium systems from a macroscopic point of view. Durin9 the last few years it has been realized that the role of fluctuations is far less trivial in systems far from equilibrium than in systems under thermodynamic equilibrium condi- tions. It was found that random fluctuations often are a determining factor for the state adopted by macroscopic systems and cannot be regarded as secondary effects of minor importance. Further, nonequilibrium systems are also very sensitive to small systematic changes in their environment. The main aims of the workshop were: i) to provide scientists with an occasion to acquaint themselves with the state of the art in fluctuation theory and sensitivity analysis; ii) to provide a forum for the presentation of recent advances in theory and experiment; iii) to bring toge- ther theoreticians and experimentalists in order to delineate the major open problems and to formulate strategies to tackle these problems. The organizing committee of the workshop consisted of W. Horsthemke, O. K. Konde- pudi, G. Dewel, G. Nicolis, I. Prigogine and L. Reichl.

Quantum Thermodynamics - Emergence of Thermodynamic Behavior Within Composite Quantum Systems (Paperback, Softcover reprint of... Quantum Thermodynamics - Emergence of Thermodynamic Behavior Within Composite Quantum Systems (Paperback, Softcover reprint of hardcover 2nd ed. 2010)
Jochen Gemmer, M Michel, Gunter Mahler
R2,648 Discovery Miles 26 480 Ships in 10 - 15 working days

Over the years enormous effort was invested in proving ergodicity, but for a number of reasons, con?dence in the fruitfulness of this approach has waned. - Y. Ben-Menahem and I. Pitowsky [1] Abstract The basic motivation behind the present text is threefold: To give a new explanation for the emergence of thermodynamics, to investigate the interplay between quantum mechanics and thermodynamics, and to explore possible ext- sions of the common validity range of thermodynamics. Originally, thermodynamics has been a purely phenomenological science. Early s- entists (Galileo, Santorio, Celsius, Fahrenheit) tried to give de?nitions for quantities which were intuitively obvious to the observer, like pressure or temperature, and studied their interconnections. The idea that these phenomena might be linked to other ?elds of physics, like classical mechanics, e.g., was not common in those days. Such a connection was basically introduced when Joule calculated the heat equ- alent in 1840 showing that heat was a form of energy, just like kinetic or potential energy in the theory of mechanics. At the end of the 19th century, when the atomic theory became popular, researchers began to think of a gas as a huge amount of bouncing balls inside a box.

From System Complexity to Emergent Properties (Paperback, 2009 ed.): Moulay Aziz-Alaoui, Cyrille Bertelle From System Complexity to Emergent Properties (Paperback, 2009 ed.)
Moulay Aziz-Alaoui, Cyrille Bertelle
R6,341 Discovery Miles 63 410 Ships in 10 - 15 working days

Emergence and complexity refer to the appearance of higher-level properties and behaviours of a system that obviously comes from the collective dynamics of that system's components. These properties are not directly deducible from the lower-level motion of that system. Emergent properties are properties of the "whole'' that are not possessed by any of the individual parts making up that whole. Such phenomena exist in various domains and can be described, using complexity concepts and thematic knowledges. This book highlights complexity modelling through dynamical or behavioral systems. The pluridisciplinary purposes, developed along the chapters, are able to design links between a wide-range of fundamental and applicative Sciences. Developing such links - instead of focusing on specific and narrow researches - is characteristic of the Science of Complexity that we try to promote by this contribution.

Adaptive Networks - Theory, Models and Applications (Paperback, 2009 ed.): Thilo Gross, Hiroki Sayama Adaptive Networks - Theory, Models and Applications (Paperback, 2009 ed.)
Thilo Gross, Hiroki Sayama
R2,890 Discovery Miles 28 900 Ships in 10 - 15 working days

Adding one and one makes two, usually. But sometimes things add up to more than the sum of their parts. This observation, now frequently expressed in the maxim "more is different", is one of the characteristic features of complex systems and, in particular, complex networks. Along with their ubiquity in real world systems, the ability of networks to exhibit emergent dynamics, once they reach a certain size, has rendered them highly attractive targets for research. The resulting network hype has made the word "network" one of the most in uential buzzwords seen in almost every corner of science, from physics and biology to economy and social sciences. The theme of "more is different" appears in a different way in the present v- ume, from the viewpoint of what we call "adaptive networks." Adaptive networks uniquely combine dynamics on a network with dynamical adaptive changes of the underlying network topology, and thus they link classes of mechanisms that were previously studied in isolation. Here adding one and one certainly does not make two, but gives rise to a number of new phenomena, including highly robust se- organization of topology and dynamics and other remarkably rich dynamical beh- iors.

Applications of the Monte Carlo Method in Statistical Physics (Paperback, Softcover reprint of the original 1st ed. 1984): A.... Applications of the Monte Carlo Method in Statistical Physics (Paperback, Softcover reprint of the original 1st ed. 1984)
A. Baumgartner; Edited by K. Binder; Contributions by K. Binder, J.-P. Hansen, M.H. Kalos, …
R1,545 Discovery Miles 15 450 Ships in 10 - 15 working days

Monte Carlo computer simulations are now a standard tool in scientific fields such as condensed-matter physics, including surface-physics and applied-physics problems (metallurgy, diffusion, and segregation, etc. ), chemical physics, including studies of solutions, chemical reactions, polymer statistics, etc., and field theory. With the increasing ability of this method to deal with quantum-mechanical problems such as quantum spin systems or many-fermion problems, it will become useful for other questions in the fields of elementary-particle and nuclear physics as well. The large number of recent publications dealing either with applications or further development of some aspects of this method is a clear indication that the scientific community has realized the power and versatility of Monte Carlo simula tions, as well as of related simulation techniques such as "molecular dynamics" and "Langevin dynamics," which are only briefly mentioned in the present book. With the increasing availability of recent very-high-speed general-purpose computers, many problems become tractable which have so far escaped satisfactory treatment due to prac tical limitations (too small systems had to be chosen, or too short averaging times had to be used). While this approach is admittedly rather expensive, two cheaper alternatives have become available, too: (i) array or vector processors specifical ly suited for wide classes of simulation purposes; (ii) special purpose processors, which are built for a more specific class of problems or, in the extreme case, for the simulation of one single model system."

Solved Problems in Quantum and Statistical Mechanics (Paperback, 2012): Michele Cini, Francesco Fucito, Mauro Sbragaglia Solved Problems in Quantum and Statistical Mechanics (Paperback, 2012)
Michele Cini, Francesco Fucito, Mauro Sbragaglia
R1,800 Discovery Miles 18 000 Ships in 10 - 15 working days

This work arises from our teaching this subject during many years. The vast majority of these exercises are the exams we gave to our students in this period. We carefully selected the subjects of the exercises to cover all the material which is most needed and which is treated in the most well known texts on these subjects. Each exercise is carefully solved in full details, explaining the theory behind the solution with particular care for those issues that, from our experience, are found most difficult from the average student. Indeed, several exercises are designed to throw light on aspects of the theory that, for one reason or another, are usually neglected with the result to make the students feel uneasy about them. In fact most students get acquainted just with the more common manipulations, which are illustrated by many examples in textbooks. Our exercises never require extensive calculations but tend to be somewhat unusual and force the solver to think about the problem starting from the principles, rather than by analogy with some previously solved exercise."

Abductive Cognition - The Epistemological and Eco-Cognitive Dimensions of Hypothetical Reasoning (Paperback, 2010 ed.): Lorenzo... Abductive Cognition - The Epistemological and Eco-Cognitive Dimensions of Hypothetical Reasoning (Paperback, 2010 ed.)
Lorenzo Magnani
R4,426 Discovery Miles 44 260 Ships in 10 - 15 working days

Thisvolumeexploresabductivecognition, animportantbut, atleastuntilthe third quarter of the last century, neglected topic in cognition. It integrates and further develops ideas already introduced in a previous book, which I published in 2001 (Abduction, Reason, and Science. Processes of Discovery and Explanation, Kluwer Academic/Plenum Publishers, New York). Thestatusofabductionisverycontroversial. Whendealingwithabductive reasoning misinterpretations and equivocations are common. What are the di?erences between abduction and induction? What are the di?erences - tween abduction and the well-known hypothetico-deductive method? What did Peircemeanwhen heconsideredabductionboth a kindofinferenceanda kind of instinct or when he considered perception a kind of abduction? Does abduction involve only the generation of hypotheses or their evaluation too? Are the criteria for the best explanation in abductive reasoning epistemic, or pragmatic, or both? Does abduction preserve ignorance or extend truth or both? How many kinds of abduction are there? Is abduction merely a kind of "explanatory" inference or does it involve other non-explanatory ways of guessing hypotheses? The book aims at increasing knowledge about creative and expert inf- ences. The study of these high-level methods of abductive reasoning is s- uated at the crossroads of philosophy, logic, epistemology, arti?cial intel- gence, neuroscience, cognitive psychology, animal cognition and evolutionary theories; that is, at the heart of cognitive science. Philosophers of science in thetwentiethcenturyhavetraditionallydistinguishedbetweentheinferential processesactiveinthelogicofdiscoveryandtheonesactiveinthelogicofj- ti?cation. Most have concluded that no logic of creative processes exists and, moreover, that a rational model of discovery is impossible. In short, scienti?c creative inferences are irrational and there is no "reasoning" to hypotheses.

The Principles of Deep Learning Theory - An Effective Theory Approach to Understanding Neural Networks (Hardcover): Daniel A.... The Principles of Deep Learning Theory - An Effective Theory Approach to Understanding Neural Networks (Hardcover)
Daniel A. Roberts, Sho Yaida; Contributions by Boris Hanin
R2,086 R1,814 Discovery Miles 18 140 Save R272 (13%) Ships in 12 - 17 working days

This textbook establishes a theoretical framework for understanding deep learning models of practical relevance. With an approach that borrows from theoretical physics, Roberts and Yaida provide clear and pedagogical explanations of how realistic deep neural networks actually work. To make results from the theoretical forefront accessible, the authors eschew the subject's traditional emphasis on intimidating formality without sacrificing accuracy. Straightforward and approachable, this volume balances detailed first-principle derivations of novel results with insight and intuition for theorists and practitioners alike. This self-contained textbook is ideal for students and researchers interested in artificial intelligence with minimal prerequisites of linear algebra, calculus, and informal probability theory, and it can easily fill a semester-long course on deep learning theory. For the first time, the exciting practical advances in modern artificial intelligence capabilities can be matched with a set of effective principles, providing a timeless blueprint for theoretical research in deep learning.

Asymptotic Approaches in Nonlinear Dynamics - New Trends and Applications (Paperback, Softcover reprint of the original 1st ed.... Asymptotic Approaches in Nonlinear Dynamics - New Trends and Applications (Paperback, Softcover reprint of the original 1st ed. 1998)
Jan Awrejcewicz, Igor V. Andrianov, Leonid I. Manevitch
R1,529 Discovery Miles 15 290 Ships in 10 - 15 working days

This book covers developments in the theory of oscillations from diverse viewpoints, reflecting the fields multidisciplinary nature. It introduces the state-of-the-art in the theory and various applications of nonlinear dynamics. It also offers the first treatment of the asymptotic and homogenization methods in the theory of oscillations in combination with Pad approximations. With its wealth of interesting examples, this book will prove useful as an introduction to the field for novices and as a reference for specialists.

Learning in Graphical Models (Paperback, Softcover reprint of the original 1st ed. 1998): M. I. Jordan Learning in Graphical Models (Paperback, Softcover reprint of the original 1st ed. 1998)
M. I. Jordan
R9,105 Discovery Miles 91 050 Ships in 10 - 15 working days

In the past decade, a number of different research communities within the computational sciences have studied learning in networks, starting from a number of different points of view. There has been substantial progress in these different communities and surprising convergence has developed between the formalisms. The awareness of this convergence and the growing interest of researchers in understanding the essential unity of the subject underlies the current volume. Two research communities which have used graphical or network formalisms to particular advantage are the belief network community and the neural network community. Belief networks arose within computer science and statistics and were developed with an emphasis on prior knowledge and exact probabilistic calculations. Neural networks arose within electrical engineering, physics and neuroscience and have emphasised pattern recognition and systems modelling problems. This volume draws together researchers from these two communities and presents both kinds of networks as instances of a general unified graphical formalism. The book focuses on probabilistic methods for learning and inference in graphical models, algorithm analysis and design, theory and applications. Exact methods, sampling methods and variational methods are discussed in detail. Audience: A wide cross-section of computationally oriented researchers, including computer scientists, statisticians, electrical engineers, physicists and neuroscientists.

Models of Neural Networks I (Paperback, 2nd ed. 1995. Softcover reprint of the original 2nd ed. 1995): Eytan Domany, J. Leo Van... Models of Neural Networks I (Paperback, 2nd ed. 1995. Softcover reprint of the original 2nd ed. 1995)
Eytan Domany, J. Leo Van Hemmen, Klaus Schulten
R1,545 Discovery Miles 15 450 Ships in 10 - 15 working days

One of the great intellectual challenges for the next few decades is the question of brain organization. What is the basic mechanism for storage of memory? What are the processes that serve as the interphase between the basically chemical processes of the body and the very specific and nonstatistical operations in the brain? Above all, how is concept formation achieved in the human brain? I wonder whether the spirit of the physics that will be involved in these studies will not be akin to that which moved the founders of the "rational foundation of thermodynamics". C. N. Yang! 10 The human brain is said to have roughly 10 neurons connected through about 14 10 synapses. Each neuron is itself a complex device which compares and integrates incoming electrical signals and relays a nonlinear response to other neurons. The brain certainly exceeds in complexity any system which physicists have studied in the past. Nevertheless, there do exist many analogies of the brain to simpler physical systems. We have witnessed during the last decade some surprising contributions of physics to the study of the brain. The most significant parallel between biological brains and many physical systems is that both are made of many tightly interacting components.

Computer Simulation Studies in Condensed-Matter Physics VIII - Recent Developments Proceedings of the Eighth Workshop Athens,... Computer Simulation Studies in Condensed-Matter Physics VIII - Recent Developments Proceedings of the Eighth Workshop Athens, GA, USA, February 20-24, 1995 (Paperback, Softcover reprint of the original 1st ed. 1995)
David P. Landau, Kin-Keung Mon, Heinz-Bernd Schuttler
R2,844 Discovery Miles 28 440 Ships in 10 - 15 working days

Computer Simulation Studies in Condensed-Matter Physics VIII covers recent developments in this field presented at the 1995 workshop, such as new algorithms, methods of analysis, and conceptual developments. This volume is composed of three parts. The first part contains invited papers that deal with simulational studies of classical systems. The second part is devoted to invited papers on quantum systems, including new results for strongly correlated electron and quantum spin models. The final part comprises contributed presentations.

Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems - Proceedings of the Ninth Taniguchi International... Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems - Proceedings of the Ninth Taniguchi International Symposium, Susono, Japan, November 14-18, 1986 (Paperback, Softcover reprint of the original 1st ed. 1987)
Masuo Suzuki
R2,862 Discovery Miles 28 620 Ships in 10 - 15 working days

Speech by Toyosaburo Taniguchi Dr. Kubo, Chairman, Distinguished Guests, and Friends, I am very happy, pleased and honored to be here this evening with so many distinguished guests, friends, and scholars from within this country and from different parts of the world. The Taniguchi Foundation wishes to extend a warm and sincere welcome to the many participants of the Ninth International Symposium on the Theory of Condensed Matter, which se ries was inaugurated eight years ago through the strenuous efforts of Dr. Ryogo Kubo, who is gracing us today with his presence. We are deeply indebted to Dr. Kubo, Dr. Suzuki, and their associates, who havE' spent an enormous amount of time and effort to make this particular symposium possible. We are convinced that the foundation should not be considered as what makes our symposium a success. The success is entirely due, I feel, to the continuous efforts of the Organizing Committee and of all those who have lent their support to this program. In this sense, your words of praise about the symposium, if any, should be directed to all of them. So far, I have met in person a total of 62 participants in this Division from 12 countries: Argentina, Belgium, Canada, Denmark, the Federal Republic of Germany, France, Ireland, Israel, Rumania, Switzerland, the United Kingdom, and the United States of America, with 133 participants from Japan. Those friends I have been privileged to make, I shall always treasure."

Mathematical Aspects of Spin Glasses and Neural Networks (Paperback, Softcover reprint of the original 1st ed. 1998): Anton... Mathematical Aspects of Spin Glasses and Neural Networks (Paperback, Softcover reprint of the original 1st ed. 1998)
Anton Bovier, Pierre Picco
R1,550 Discovery Miles 15 500 Ships in 10 - 15 working days
Extended Thermodynamics (Paperback, Softcover reprint of the original 1st ed. 1993): Ingo Muller, Tommaso Ruggeri Extended Thermodynamics (Paperback, Softcover reprint of the original 1st ed. 1993)
Ingo Muller, Tommaso Ruggeri
R2,858 Discovery Miles 28 580 Ships in 10 - 15 working days

Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility between the expectation of physicists and the classical laws of thermodynamics has prompted the formulation of extended thermodynamics. After describing the motifs and early evolution of this new branch of irreversible thermodynamics, the authors apply the theory to mon-atomic gases, mixtures of gases, relativistic gases, and "gases" of phonons and photons. The discussion brings into perspective the various phenomena called second sound, such as heat propagation, propagation of shear stress and concentration, and the second sound in liquid helium. The formal mathematical structure of extended thermodynamics is exposed and the theory is shown to be fully compatible with the kinetic theory of gases. The study closes with the testing of extended thermodynamics through the exploitation of its predictions for measurements of light scattering and sound propagation.

Computational Approaches in Condensed-Matter Physics - Proceedings of the 6th Nishinomiya-Yukawa Memorial Symposium,... Computational Approaches in Condensed-Matter Physics - Proceedings of the 6th Nishinomiya-Yukawa Memorial Symposium, Nishinomiya, Japan, October 24 and 25, 1991 (Paperback, Softcover reprint of the original 1st ed. 1992)
Seiji Miyashita, Masatoshi Imada, Hajime Takayama
R2,879 Discovery Miles 28 790 Ships in 10 - 15 working days

Interacting many-body systems are the main subjects of research in theoretical condensed matter physics, and they are the source of both the interest and the difficulty in this field. In order to understand the macroscopic properties of matter in terms of macroscopic knowledge, many analytic and approximate methods have been introduced. The contributions to this proceedings volume focus on the most recent developments of computational approaches in condensed matter physics. Monte Carlo methods and molecular dynamics simulations applied to strongly correlated classical and quantum systems such as electron systems, quantum spin systems, spin glassss, coupled map systems, polymers and other random and comlex systems are reviewed. Comprising easy to follow introductions to each field covered and also more specialized contributions, this proceedings volume explains why computational approaches are necessary and how different fields are related to each other.

Models of Massive Parallelism - Analysis of Cellular Automata and Neural Networks (Paperback, Softcover reprint of the original... Models of Massive Parallelism - Analysis of Cellular Automata and Neural Networks (Paperback, Softcover reprint of the original 1st ed. 1995)
Max Garzon
R1,520 Discovery Miles 15 200 Ships in 10 - 15 working days

Locality is a fundamental restriction in nature. On the other hand, adaptive complex systems, life in particular, exhibit a sense of permanence and time lessness amidst relentless constant changes in surrounding environments that make the global properties of the physical world the most important problems in understanding their nature and structure. Thus, much of the differential and integral Calculus deals with the problem of passing from local information (as expressed, for example, by a differential equation, or the contour of a region) to global features of a system's behavior (an equation of growth, or an area). Fundamental laws in the exact sciences seek to express the observable global behavior of physical objects through equations about local interaction of their components, on the assumption that the continuum is the most accurate model of physical reality. Paradoxically, much of modern physics calls for a fundamen tal discrete component in our understanding of the physical world. Useful computational models must be eventually constructed in hardware, and as such can only be based on local interaction of simple processing elements."

Random Media and Boundaries - Unified Theory, Two-Scale Method, and Applications (Paperback, Softcover reprint of the original... Random Media and Boundaries - Unified Theory, Two-Scale Method, and Applications (Paperback, Softcover reprint of the original 1st ed. 1993)
K oichi Furutsu
R1,518 Discovery Miles 15 180 Ships in 10 - 15 working days

For a system consisting of a random medium with rough boundaries, the governing (Bethe-Salpeter) equation for boundary-value transport problems can be written in a form such that the medium and the boundaries are treatedon an equal footing. This enables several expressions for the solution to be obtained by interchanging the roles of the medium and the boundaries, thus allowing the most convenient one to be selected according to the specific situation and the information required. This book presents a unified theory based on the Bethe-Salpeter equation with particular attention being paid to: boundary-value problems of transport, layer problems, a fixed scatterer imbedded in a bounded random medium, construction of an optical scattering matrix for a complete system, and optical wave propagation in a turbulent medium. The last topic is treated in terms of first moment equations combined with the cluster expansion and, second, the two-scale method based on the Lagrange variational principle.

Products of Random Matrices - in Statistical Physics (Paperback, Softcover reprint of the original 1st ed. 1993): Andrea... Products of Random Matrices - in Statistical Physics (Paperback, Softcover reprint of the original 1st ed. 1993)
Andrea Crisanti, Giovanni Paladin, Angelo Vulpiani
R2,842 Discovery Miles 28 420 Ships in 10 - 15 working days

At the present moment, after the success of the renormalization group in providing a conceptual framework for studying second-order phase tran sitions, we have a nearly satisfactory understanding of the statistical me chanics of classical systems with a non-random Hamiltonian. The situation is completely different if we consider the theory of systems with a random Hamiltonian or of chaotic dynamical systems. The two fields are connected; in fact, in the latter the effects of deterministic chaos can be modelled by an appropriate stochastic process. Although many interesting results have been obtained in recent years and much progress has been made, we still lack a satisfactory understanding of the extremely wide variety of phenomena which are present in these fields. The study of disordered or chaotic systems is the new frontier where new ideas and techniques are being developed. More interesting and deep results are expected to come in future years. The properties of random matrices and their products form a basic tool, whose importance cannot be underestimated. They playa role as important as Fourier transforms for differential equations. This book is extremely interesting as far as it presents a unified approach for the main results which have been obtained in the study of random ma trices. It will become a reference book for people working in the subject. The book is written by physicists, uses the language of physics and I am sure that many physicists will read it with great pleasure."

Stochastic Methods and Computer Techniques in Quantum Dynamics - Proceedings of the XXIII. Internationale Universitatswochen... Stochastic Methods and Computer Techniques in Quantum Dynamics - Proceedings of the XXIII. Internationale Universitatswochen fur Kernphysik 1984 der Karl-Franzens-Universitat Graz at Schladming (Steiermark, Austria), February 20th - March 1st, 1984 (Paperback, Softcover reprint of the original 1st ed. 1984)
H. Mitter, L. Pittner
R1,587 Discovery Miles 15 870 Ships in 10 - 15 working days

This volume contains the written versions of lectures held at the "23. Internationale Universit tswochen fUr Kernphysik" in Schladming, Austria, in February 1984. Once again the generous support of our sponsors, the Austrian Ministry of Science and Research, the Styrian Government and others, had made it possible to organize this school. The aim of the topics chosen for the meeting was to present different aspects of stochastic methods and techniques. These methods have opened up new ways to attack problems in a broad field ranging from quantum mechanics to quantum field theory. Thanks to the efforts of the lecturers it was possible to take this development into account and show relations to areas where stochastic methods have been used for a long time. Due to limited space only short manuscript versions of the many seminars presented could be included. The lecture notes were reexamined by the authors after the school and are now published in their final form. It is a pleasure to thank all the lecturers for their efforts which made it possible to speed up publication. Thanks are also due to Mrs. Neuhold for her careful typing of the notes. H. Mitter L. Pittner Acta Physica Austriaca, Suppl. XXVI, 3-52 (1984) (c) by Springer-Verlag 1984 STOCHASTIC PROCESSES - QUANTUM PHYSICS+ by L. STREIT Universitat Bielefeld BiBoS D-4800 Bielefeld. FR Germany I.

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