This graduate-level text gives a self-contained exposition of fundamental topics in modern equilibrium and nonequilibrium statistical thermodynamics. The text follows a balanced approach between the macroscopic (thermodynamic) and microscopic (statistical) points of view. The first half of the book deals with equilibrium thermodynamics and statistical mechanics. In addition to standard subjects, the reader will find a detailed account of broken symmetries, critical phenomena and the renormalization group, as well as an introduction to numerical methods. The second half of the book is devoted to nonequilibrium phenomena, first following a macroscopic approach, with hydrodynamics as an important example. Kinetic theory receives a thorough treatment through analysis of the Boltzmann-Lorentz model and the Boltzmann equation. The book concludes with general nonequilibrium methods such as linear response, projection method and the Langevin and Fokker-Planck equations, including numerical simulations. This advanced textbook will be of interest to graduate students and researchers in physics.

This is a textbook which gradually introduces the student to the statistical mechanical study of the different phases of matter and to the phase transitions between them. Throughout, only simple models of both ordinary and soft matter are used but these are studied in full detail. The subject is developed in a pedagogical manner, starting from the basics, going from the simple ideal systems to the interacting systems, and ending with the more modern topics. The textbook provides the student with a complete overview, intentionally at an introductory level, of the theory of phase transitions. All equations and deductions are included.

This book provides a comprehensive overview of modern computer-based techniques for analyzing the structure, properties and dynamics of biomolecules and biomolecular processes. It is organized in four main parts; the first one deals with methodology of molecular simulations; the second one with applications of molecular simulations; the third one introduces bioinformatics methods and the use of experimental information in molecular simulations; the last part reports on selected applications of molecular quantum mechanics. This second edition has been thoroughly revised and updated to include the latest progresses made in the respective field of research.

This monograph disentangles the law of motive force, a fundamental law of nature that can be accommodated as an addition to the existing laws of thermodynamics. This unmistakable and remarkable tendency of nature is equally applicable to all other branches of studies. The law of motive force was discovered in 1989 by the author of this book, Professor Pramanick, who reports here various applications of the law in the area ofthermodynamics, heat transfer, fluid mechanics and solid mechanics and shows how, by applying the law of motive force, it is possible to solve analytically century old unsolved problems. This book offers a comprehensive account of the law of motive force and its relation to other laws and principles such as the generalized conservation principle, variational formulation, Fermat s principle, Bejan s constructal law, entropy generation minimization, Bejan s method of intersecting asymptotes and equipartition principle. Furthermore, the author addresses here some interrelated fundamental problems of contemporary interest, especially to thermodynamicists and provides exact solutions to these problems, by combining analytical methods, physical reasoning and the proposed law of motive force. This book is a must-read for both students and researchers in exact as well as non-exact sciences and at the same time, a pleasant learning experience for any novice.

The first chapter proposes the law of motive force and establishes its relation to the other laws and principles such as the generalized conservation principle, variational formulation, Fermat s principle, Bejan s constructal law, entropy generation minimization, Bejan s method of intersecting asymptotes and equipartition principle. The second chapter presents Schmidt s intuitive criterion for fin design by employing the law of motive force alone. The third chapter provides an elegant solution to a classically unsolved fundamental issue of thermal science, the generalization of Pohlhausen s problem of heat transfer from a flat plate, by applying the law of motive force. The fourth chapter is a theoretical excursus of hydraulic jump for the first time deploying the law of motive force. The fifth chapter inculcates the law of motive force to establish the dendritic structure of nature with reference to a thermoelectric device. In the light of law of motive force the sixth and last chapter finally integrates finite-time thermodynamics with Bejan s constructal law.

describes more than thirty Physics practicals at high school and undergraduate level. There's background information on each one, a description of the equipment needed, and how the experiment is performed. Uniquely, for those without access to a real laboratory, the book gives you access to highly detailed 3d simulations of all the experiments.

This book is useful to engineers, researchers, entrepreneurs, and students in different branches of production, engineering, and systems sciences. The polytopic roadmaps are the guidelines inspired by the development stages of cognitive-intelligent systems, and expected to become powerful instruments releasing an abundance of new capabilities and structures for complex engineering systems implementation. The 4D approach developed in previous monographs and correlated with industry 4.0and Fourth Industrial Revolution is continued here toward higher dimensions approaches correlated with polytopic operations, equipment, technologies, industries, and societies. Methodology emphasizes the role of doubling, iteration, dimensionality, and cyclicality around the center, of periodic tables and of conservative and exploratory strategies. Partitions, permutations, classifications, and complexification, as polytopic chemistry, are the elementary operations analyzed. Multi-scale transfer, cyclic operations, conveyors, and assembly lines are the practical examples of operations and equipment. Polytopic flow sheets, online analytical processing, polytopic engineering designs, and reality-inspired engineering are presented. Innovative concepts such as Industry 5.0, polytopic industry, Society 5.0, polytopic society, cyber physical social systems, industrial Internet, and digital twins have been discussed. The general polytopic roadmaps, (GPTR), are proposed as universal guidelines and as common methodologies to synthesize the systemic thinking and capabilities for growing complexity projects implementation.

This book presents four survey articles on various aspects of open quantum systems, specifically addressing quantum Markovian processes, Feller semigroups and nonequilibrium dynamics. The contributions are based on lectures given by distinguished experts at a summer school in Goettingen, Germany. Starting from basic notions, the authors of these lecture notes accompany the reader on a journey up to the latest research, highlighting new challenges and addressing unsolved problems at the interface between mathematics and physics. Though the book is primarily addressed to graduate students, it will also be of interest to researchers.

This new edition of College Physics Essentials provides a streamlined update of a major textbook for algebra-based physics. The first volume covers topics such as mechanics, heat, and thermodynamics. The second volume covers electricity, atomic, nuclear, and quantum physics. The authors provide emphasis on worked examples together with expanded problem sets that build from conceptual understanding to numerical solutions and real-world applications to increase reader engagement. Including over 900 images throughout the two volumes, this textbook is highly recommended for students seeking a basic understanding of key physics concepts and how to apply them to real problems.

Many students at undergraduate level struggle with the basic concepts of thermodynamics and statistical physics such as entropy, phase space, y-space, micro-canonical, canonical and grand canonical ensembles, statistical weight (thermodynamic probability), accessible states, density of states, partition function. In this book the author has made every effort to explain these basic concepts and notions in the simplest possible way, keeping in mind the limitations and difficulties of an average student. The book begins with the kinetic theory of gases and transport phenomena and gives the students a thorough grounding in the fundamental aspects of the topics such as Maxwell's law of distribution of molecular speeds, mean free path, viscosity, thermal conduction and diffusion. Next, the topics on equation of state and critical constant are discussed. The chapters from 4 - 9 are devoted to the development of thermodynamic concepts and the application of the laws of thermodynamics to the thermodynamic processes. A sufficient number of solved examples enable the students to test their conceptual understanding and analytical skills. A comprehensive discussion of on the failure of classical theory of radiation and the emergence of quantum concepts viz. the particle nature of radiation is presented in the chapters on radiations. Part II of the book presents a lucid and systematic exposition of the fundamental principles of the most fascinating, exciting, stimulating and challenging subject - statistical physics. The understanding of statistical physics requires knowledge of quantum mechanics at introductory level and a little bit of mathematics of undergraduate level. Though this book provides a self-contained study material, the knowledge of more advanced mathematical tools will make the learning process of statistical physics easier.

Gets right to the point with step-by-step guidance on solving physics problems. Covers all topics in standard general physics courses in the same sequence. Keeps learning about physics fun and engaging through the story of dinosaurs being tested on their knowledge for a final challenge (deflecting an asteroid headed to Earth!). Enables the reader to quickly flip through and locate steps needed for a particular problem. Includes tons of easy to follow diagrams and worked solutions.

This book deals with an important class of many-body systems: those where the interaction potential decays slowly for large inter-particle distances; in particular, systems where the decay is slower than the inverse inter-particle distance raised to the dimension of the embedding space. Gravitational and Coulomb interactions are the most prominent examples, however it has become clear that long-range interactions are more common than previously thought. A satisfactory understanding of properties, generally considered as oddities only a couple of decades ago, has now been reached: ensemble inequivalence, negative specific heat, negative susceptibility, ergodicity breaking, out-of-equilibrium quasi-stationary-states, anomalous diffusion. The book, intended for Master and PhD students, tries to gradually acquaint the reader with the subject. The first two parts describe the theoretical and computational instruments needed to address the study of both equilibrium and dynamical properties of systems subject to long-range forces. The third part of the book is devoted to applications of such techniques to the most relevant examples of long-range systems.

The term transport phenomena is used to describe processes in which mass, momentum, energy and entropy move about in matter. Advances in Transport Phenomena provide state-of-the-art expositions of major advances by theoretical, numerical and experimental studies from a molecular, microscopic, mesoscopic, macroscopic or megascopic point of view across the spectrum of transport p- nomena, from scientific enquiries to practical applications. The annual review series intends to fill the information gap between regularly published journals and university-level textbooks by providing in-depth review articles over a broader scope than in journals. The authoritative articles, contributed by international- leading scientists and practitioners, establish the state of the art, disseminate the latest research discoveries, serve as a central source of reference for fundamentals and applications of transport phenomena, and provide potential textbooks to senior undergraduate and graduate students. The series covers mass transfer, fluid mechanics, heat transfer and thermo- namics. The 2009 volume contains the four articles on biomedical, environmental and nanoscale transports. The editorial board expresses its appreciation to the c- tributing authors and reviewers who have maintained the standard associated with Advances in Transport Phenomena. We also would like to acknowledge the efforts of the staff at Springer who have made the professional and attractive pr- entation of the volume. Serial Editorial Board Editor-in-Chief Professor L. Q. Wang The University of Hong Kong, Hong Kong; lqwang@hku. hk Editors Professor A. R. Balakrishnan Indian Institute of Technology Madras, India Professor A.

This volume is a compilation of carefully selected questions at the PhD qualifying exam level, including many actual questions from Columbia University, University of Chicago, MIT, State University of New York at Buffalo, Princeton University, University of Wisconsin and the University of California at Berkeley over a twenty-year period. Topics covered in this book include the laws of thermodynamics, phase changes, Maxwell-Boltzmann statistics and kinetic theory of gases.This latest edition has been updated with more problems and solutions and the original problems have also been modernized, excluding outdated questions and emphasizing those that rely on calculations. The problems range from fundamental to advanced in a wide range of topics on thermodynamics and statistical physics, easily enhancing the student's knowledge through workable exercises. Simple-to-solve problems play a useful role as a first check of the student's level of knowledge whereas difficult problems will challenge the student's capacity on finding the solutions.

Calculations in Chemical Kinetics for Undergraduates aims to restore passion for problem solving and applied quantitative skills in undergraduate chemistry students. Avoiding complicated chemistry jargon and providing hints and step wise explanations in every calculation problem, students are able to overcome their fear of handling mathematically applied problems in physical chemistry. This solid foundation in their early studies will enable them to connect fundamental theoretical chemistry to real experimental applications as graduates. Additional Features Include: Contains quantitative problems from popular physical chemistry references. Provides step by step explanations are given in every calculation problem. Offers hints to certain problems as "points to note" to enable student comprehension. Includes solutions for all questions and exercises. This book is a great resource for undergraduate chemistry students however, the contents are rich and useful to even the graduate chemist that has passion for applied problems in physical chemistry of reaction Kinetics.

This book advances systems thinking by introducing a new philosophy of systemic knowing. It argues that there are inescapable limits to rational understanding. Humankind has always depended on extended ways of knowing to complement the rational-analytic approach. The book establishes that the application of such methods is fundamental to systemic practice. The author advocates embracing two modes of consciousness: intentionality, which Western philosophy has long recognized, and non-intentional awareness, which Eastern philosophy additionally highlights. The simultaneity of these two modes of consciousness, and the variety of knowings they spawn are harnessed for a more holistic, systemic knowing. Four practices from fields related to systems thinking are examined: two contemporary action research methodologies from the US and the UK; the Sumedhian (Indian) approach to inquiry about processes within groups; and a technique of group psychotherapy originating in Eastern Europe. Each of these systematically harnesses knowing using both modes of consciousness. Therefore, the author insists, such approaches must be included in systemic practice, in purposeful and methodical juxtaposition to rational-analytic ways. The book provides examples and guidelines for deployment. "All researchers and practitioners of systems thinking and action research must read this book...Raghav has craftfully blended Eastern and Western wisdom. He uses his immersion into Eastern ways of knowing practically, to elaborate the systems philosophy in rich detail. He has incorporated, from cooperative inquiry as action research, the idea of four ways of knowing: practical, propositional, presentational and experiential, to bolster the foundations of systems thinking" SHANKAR SANKARAN, Professor, University of Technology Sydney, Australia; President International Society of Systems Sciences (ISSS) 2019-2020 "This is a book with the potential to stimulate the emergence of a new paradigm. Raghav shows that systems thinking can transcend rational analysis and incorporate other ways of knowing, such as arts-based methods... also, rather than be overly preoccupied with striving for change, there is value in simply abiding, which comes with a deep appreciation of the ecological relationships we are part of. It's not that rational analysis is wrong - it's that it is only part of a genuinely transformative practice". GERALD MIDGLEY, Co-Director, Centre for Systems Studies, University of Hull; former President, ISSS (2013-14) "Raghav Rajagopalan's writing on generating deep appreciation for the social and ecological interdependencies ties in closely with my own work. The philosophical ideas he develops contain the tracings and essential tones of Gregory Bateson's idea of "Mind" as a process of living complexities reaching well beyond the notion of the body. This book demonstrates outstanding erudition and deep compassion at the same time. It should delight the adventurous reader unafraid of big questions". NORA BATESON, President of the International Bateson Institute

- It provides a rigorous mathematical and physical basis to techniques that are often introduced on empirical basis - While the book covers a broad range of techniques, it starts at a basic theoretical level. This gives the book a strong foundation and makes it accessible to students from various backgrounds. - Has a computational focus unlike many competing titles

Remains accessible but incorporates a rigorous mathematical treatment with clarity and emphasizing a contemporary style and a rejuvenated approach Presents a student-friendly and self-contained structure Balances theory and worked examples

The simulation of turbulent reacting flows, connected with environmental protection and the design of chemical and mechanical processes, is increasingly important. Statistical Mechanics of Turbulent Flows presents a modern overview of basic ways to calculate such flows. It discusses the fundamental problems related to the use of basic equations and their modifications. Special emphasis is placed on the discussion of very promising statistical methods which provide solutions to these problems by models for the underlying stochastic physics of turbulent reacting flows. Their foundations and important new developments up through current challenges are systematically explained. Students and researchers in atmospheric sciences and oceanography, mechanical and chemical engineering and applied mathematics and physics may use Statistical Mechanics of Turbulent Flows as a guide to solve many problems related, e.g. to the assessment of complex atmospheric chemistry, chemical reactor processes, turbulent combustion, and multi-phase flows.

Mathematical Physics for Nuclear Experiments presents an accessible introduction to the mathematical derivations of key equations used in describing and analysing results of typical nuclear physics experiments. Instead of merely showing results and citing texts, crucial equations in nuclear physics such as the Bohr's classical formula, Bethe's quantum mechanical formula for energy loss, Poisson, Gaussian and Maxwellian distributions for radioactive decay, and the Fermi function for beta spectrum analysis, among many more, are presented with the mathematical bases of their derivation and with their physical utility. This approach provides readers with a greater connection between the theoretical and experimental sides of nuclear physics. The book also presents connections between well-established results and ongoing research. It also contains figures and tables showing results from the author's experiments and those of his students to demonstrate experimental outcomes. This is a valuable guide for advanced undergraduates and early graduates studying nuclear instruments and methods, medical and health physics courses as well as experimental particle physics courses. Key features Contains over 500 equations connecting theory with experiments. Presents over 80 examples showing physical intuition and illustrating concepts. Includes 80 exercises, with solutions, showing applications in nuclear and medical physics.

This book contains selected papers of NSC08, the 2nd Conference on Nonlinear Science and Complexity, held 28-31 July, 2008, Porto, Portugal. It focuses on fundamental theories and principles, analytical and symbolic approaches, computational techniques in nonlinear physics and mathematics. Topics treated include - Chaotic Dynamics and Transport in Classic and Quantum Systems - Complexity and Nonlinearity in Molecular Dynamics and Nano-Science - Complexity and Fractals in Nonlinear Biological Physics and Social Systems - Lie Group Analysis and Applications in Nonlinear Science - Nonlinear Hydrodynamics and Turbulence - Bifurcation and Stability in Nonlinear Dynamic Systems - Nonlinear Oscillations and Control with Applications - Celestial Physics and Deep Space Exploration - Nonlinear Mechanics and Nonlinear Structural Dynamics - Non-smooth Systems and Hybrid Systems - Fractional dynamical systems

The revised second edition of this practical book reviews the fundamentals of cryogenic liquid behaviour in small and large scale storage systems. The text is based on research findings on the convective and evaporative behaviour of cryogenic fluids, aimed at improving the design, construction and operation of low-loss cryogenic liquid storage systems, with a view to minimising cost and improving operational safety. Since the first edition was published in 2006, the breadth of cryogenic applications and the modelling of cryogenic fluid dynamics (CFD) have expanded in several directions. In this second edition, most chapters have been extended to introduce discussions of these new applications and their safety and energy economy. These include advances in the modelling of CFD required in, for example, the design of miniature cryocoolers and condensers and reboilers, large-scale cryogenic liquid mixture properties and their stability, and the understanding that hazards and safety problems in the public domain increase with the scaling up of cryogenic systems. With helpful summaries at the end of each chapter, the book is an essential reference for anyone working on the design and operation of cryogenic liquid storage and transportation systems.

This book deals with the basic principles and techniques of nonequilibrium statistical mechanics. The importance of this subject is growing rapidly in view of the advances being made, both experimentally and theoretically, in statistical physics, chemical physics, biological physics, complex systems and several other areas. The presentation of topics is quite self-contained, and the choice of topics enables the student to form a coherent picture of the subject. The approach is unique in that classical mechanical formulation takes center stage. The book is of particular interest to advanced undergraduate and graduate students in engineering departments.

"Fundamental Aspects of Plasma Chemical Physics: Transport "develops basic and advanced concepts of plasma transport to the modern treatment of the Chapman-Enskog method for the solution of the Boltzmann transport equation.

The book invites the reader to consider actual problems of the transport of thermal plasmas with particular attention to the derivation of diffusion- and viscosity-type transport cross sections, stressing the role of resonant charge-exchange processes in affecting the diffusion-type collision calculation of viscosity-type collision integrals.

A wide range of topics is then discussed including (1) the effect of non-equilibrium vibrational distributions on the transport of vibrational energy, (2) the role of electronically excited states in the transport properties of thermal plasmas, (3) the dependence of transport properties on the multitude of Saha equations for multi-temperature plasmas, and (4) the effect of the magnetic field on transport properties.

Throughout the book, worked examples are provided to clarify concepts and mathematical approaches.

This book is the second of a series of three published by the Bari group on fundamental aspects of plasma chemical physics. The first book, "Fundamental Aspects of Plasma Chemical Physics: Thermodynamics," is dedicated to plasma thermodynamics; and the third, "Fundamental Aspects of Plasma Chemical Physics: Kinetics," deals with plasma kinetics.