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Books > Science & Mathematics > Physics > Thermodynamics & statistical physics
Predicting thermodynamic quantities for chemically realistic
systems on the basis of atomistic calculations is still, even
today, a nontrivial task. Nonetheless, accurate treatment of
inter-particle interactions, in terms of quantum chemical first
principles methods, is a prerequisite for many applications,
because of the complexity of both reactants and solvents in modern
molecular sciences. Currently, a straightforward calculation of
thermodynamic properties from these methods is only possible for
high-temperature and low- density systems. Although the enthalpy of
a system can often be predicted to a good level of precision with
this ideal gas approach, calculating the entropy contribution to
the free energy is problematic, especially as the density of the
system increases. This thesis contains a compact and coherent
introduction of basic theoretical features. The foundations are
then laid for the development of approaches suitable for
calculation of condensed phase entropies on the basis of
well-established quantum chemical methods. The main emphasis of
this work is on realistic systems in solution, which is the most
important environment for chemical synthesis. The presented results
demonstrate how isolated molecular concepts typically employed in
modern quantum chemistry can be extended for the accurate
determination of thermodynamic properties by means of scale-
transferring approaches.
This book presents the state of the art in social simulation as
presented at the Social Simulation Conference 2019 in Mainz,
Germany. It covers the developments in applications and methods of
social simulation, addressing societal issues such as
socio-ecological systems and policymaking. Methodological issues
discussed include large-scale empirical calibration, model sharing
and interdisciplinary research, as well as decision-making models,
validation and the use of qualitative data in simulation modeling.
Research areas covered include archaeology, cognitive science,
economics, organization science and social simulation education.
This book gives readers insight into the increasing use of social
simulation in both its theoretical development and in practical
applications such as policymaking whereby modeling and the behavior
of complex systems is key. The book appeals to students,
researchers and professionals in the various fields.
Based on courses given at the universities of Texas and California,
this book treats an active field of research that touches upon the
foundations of physics and chemistry. It presents, in as simple a
manner as possible, the basic mechanisms that determine the
dynamical evolution of both classical and quantum systems in
sufficient generality to include quantum phenomena. The book begins
with a discussion of Noether's theorem, integrability, KAM theory,
and a definition of chaotic behavior; continues with a detailed
discussion of area-preserving maps, integrable quantum systems,
spectral properties, path integrals, and periodically driven
systems; and concludes by showing how to apply the ideas to
stochastic systems. The presentation is complete and
self-contained; appendices provide much of the needed mathematical
background, and there are extensive references to the current
literature; while problems at the ends of chapters help students
clarify their understanding. This new edition has an updated
presentation throughout, and a new chapter on open quantum systems.
This book shows how neural networks are applied to computational
mechanics. Part I presents the fundamentals of neural networks and
other machine learning method in computational mechanics. Part II
highlights the applications of neural networks to a variety of
problems of computational mechanics. The final chapter gives
perspectives to the applications of the deep learning to
computational mechanics.
This book provides an overview of advanced prediction and
verification technologies for aerodynamics and aerothermodynamics
and assesses a number of critical issues in advanced hypersonic
vehicle design. Focusing on state-of-the-art theories and promising
technologies for engineering applications, it also presents a range
of representative practical test cases. Given its scope, the book
offers a valuable asset for researchers who are interested in
thermodynamics, aircraft design, wind tunnel testing, fluid
dynamics and aerothermodynamics research methods, introducing them
to inspiring new research topics.
This book is based on many years of teaching statistical and
thermal physics. It assumes no previous knowledge of
thermodynamics, kinetic theory, or probability---the only
prerequisites are an elementary knowledge of classical and modern
physics, and of multivariable calculus. The first half of the book
introduces the subject inductively but rigorously, proceeding from
the concrete and specific to the abstract and general. In clear
physical language the book explains the key concepts, such as
temperature, heat, entropy, free energy, chemical potential, and
distributions, both classical and quantum. The second half of the
book applies these concepts to a wide variety of phenomena,
including perfect gases, heat engines, and transport processes.
Each chapter contains fully worked examples and real-world problems
drawn from physics, astronomy, biology, chemistry, electronics, and
mechanical engineering.
This book contains contributions presented at the 12th
International Conference on Complex Networks (CompleNet), 24-26 May
2021. CompleNet is an international conference on complex networks
that brings together researchers and practitioners from diverse
disciplines-from sociology, biology, physics, and computer
science-who share a passion to better understand the
interdependencies within and across systems. CompleNet is a venue
to discuss ideas and findings about all types networks, from
biological, to technological, to informational and social. It is
this interdisciplinary nature of complex networks that CompleNet
aims to explore and celebrate.
Providing a comprehensive introduction to quantum field theory,
this textbook covers the development of particle physics from its
foundations to the discovery of the Higgs boson. Its combination of
clear physical explanations, with direct connections to
experimental data, and mathematical rigor make the subject
accessible to students with a wide variety of backgrounds and
interests. Assuming only an undergraduate-level understanding of
quantum mechanics, the book steadily develops the Standard Model
and state-of-the-art calculation techniques. It includes multiple
derivations of many important results, with modern methods such as
effective field theory and the renormalization group playing a
prominent role. Numerous worked examples and end-of-chapter
problems enable students to reproduce classic results and to master
quantum field theory as it is used today. Based on a course taught
by the author over many years, this book is ideal for an
introductory to advanced quantum field theory sequence or for
independent study.
Written by leading experts in their respective fields,
Solidification and Casting provides a comprehensive review of
topics fundamental to metallurgy and materials science as well as
indicates recent trends.
From an industrial perspective, the book begins with chapters on
the casting techniques most commonly used in industry today. It
then describes the underlying science fundamental to solidification
mechanisms, including fluid flow, the effects of cooling rates,
modern simulation, and modelling methods in use and their
application in various casting scenarios. Next, the authors
consider the microstructure of cast materials and their defects,
and explore how different casting processes can control these
parameters. The book concludes with the most recent developments in
the field and discusses new processes and materials, such as novel
alloys and composites, metallic glasses, ceramics, and
superconducting oxides.
A modern and broad exposition emphasizing heat transfer by convection. This edition contains valuable new information primarily pertaining to flow and heat transfer in porous media and computational fluid dynamics as well as recent advances in turbulence modeling. Problems of a mixed theoretical and practical nature provide an opportunity to test mastery of the material.
Philosophy in Reality offers a new vision of the relation between
science and philosophy in the framework of a non-propositional
logic of real processes, grounded in the physics of the real world.
This logical system is based on the work of the Franco-Romanian
thinker Stephane Lupasco (1900-1988), previously presented by
Joseph Brenner in the book Logic in Reality (Springer, 2008). The
present book was inspired in part by the ancient Chinese Book of
Changes (I Ching) and its scientific-philosophical discussion of
change. The emphasis in Philosophy in Reality is on the recovery of
dialectics and semantics from reductionist applications and their
incorporation into a new synthetic paradigm for knowledge. Through
an original re-interpretation of both classical and modern Western
thought, this book addresses philosophical issues in scientific
fields as well as long-standing conceptual problems such as the
origin, nature and role of meaning, the unity of knowledge and the
origin of morality. In a rigorous transdisciplinary manner, it
discusses foundational and current issues in the physical sciences
- mathematics, information, communication and systems theory and
their implications for philosophy. The same framework is applied to
problems of the origins of society, the transformation of reality
by human subjects, and the emergence of a global, sustainable
information society. In summary, Philosophy in Reality provides a
wealth of new perspectives and references, supporting research by
both philosophers and physical and social scientists concerned with
the many facets of reality.
Presenting in a coherent and accessible fashion current results in
nanomagnetism, this book constitutes a comprehensive, rigorous and
readable account, from first principles of the classical and
quantum theories underlying the dynamics of magnetic nanoparticles
subject to thermal fluctuations.Starting with the Larmor-like
equation for a giant spin, both the stochastic (Langevin) equation
of motion of the magnetization and the associated evolution
(Fokker-Planck) equation for the distribution function of the
magnetization orientations of ferromagnetic nanoparticles
(classical spins) in a heat bath are developed along with their
solution (using angular momentum theory) for arbitrary
magnetocrystalline-Zeeman energy. Thus, observables such as the
magnetization reversal time, relaxation functions, dynamic
susceptibilities, etc. are calculated and compared with the
predictions of classical escape rate theory including in the most
general case spin-torque-transfer. Regarding quantum effects, which
are based on the reduced spin density matrix evolution equation in
Hilbert space as is described at length, they are comprehensively
treated via the Wigner-Stratonovich formulation of the quantum
mechanics of spins via their orientational quasi-probability
distributions on a classically meaningful representation space.
Here, as suggested by the relevant Weyl symbols, the latter is the
configuration space of the polar angles. Hence, one is led, by
mapping the reduced density matrix equation onto that space, to a
master equation for the quasi-probability evolution akin to the
Fokker-Planck equation which may be solved in a similar way. Thus,
one may study in a classical-like manner the evolution of
observables with spin number ranging from an elementary spin to
molecular clusters to the classical limit, viz. a nanoparticle. The
entire discussion hinges on the one-to-one correspondence between
polarization operators in Hilbert space and the spherical harmonics
allied to concepts of spin coherent states long familiar in quantum
optics.Catering for the reader with only a passing knowledge of
statistical and quantum mechanics, the book serves as an
introductory text on a complicated subject where the literature is
remarkably sparse.
Continuum Models for Phase Transitions and Twinning in Crystals presents the fundamentals of a remarkably successful approach to crystal thermomechanics. Developed over the last two decades, it is based on the mathematical theory of nonlinear thermoelasticity, in which a new viewpoint on material symmetry, motivated by molecular theories, plays a central role.
This is the first organized presentation of a nonlinear elastic approach to twinning and displacive phase transition in crystalline solids. The authors develop geometry, kinematics, and energy invariance in crystals in strong connection and with the purpose of investigating the actual mechanical aspects of the phenomena, particularly in an elastostatics framework based on the minimization of a thermodynamic potential. Interesting for both mechanics and mathematical analysis, the new theory offers the possibility of investigating the formation of microstructures in materials undergoing martensitic phase transitions, such as shape-memory alloys.
Although phenomena such as twinning and phase transitions were once thought to fall outside the range of elastic models, research efforts in these areas have proved quite fruitful. Relevant to a variety of disciplines, including mathematical physics, continuum mechanics, and materials science, Continuum Models for Phase Transitions and Twinning in Crystals is your opportunity to explore these current research methods and topics.
Providing a detailed and pedagogical account of the rapidly-growing
field of computational statistical physics, this book covers both
the theoretical foundations of equilibrium and non-equilibrium
statistical physics, and also modern, computational applications
such as percolation, random walks, magnetic systems, machine
learning dynamics, and spreading processes on complex networks. A
detailed discussion of molecular dynamics simulations is also
included, a topic of great importance in biophysics and physical
chemistry. The accessible and self-contained approach adopted by
the authors makes this book suitable for teaching courses at
graduate level, and numerous worked examples and end of chapter
problems allow students to test their progress and understanding.
Radio telescopes as well as communication antennas operate under
the influence of gravity, temperature and wind. Among those,
temperature influences may degrade the performance of a radio
telescope through transient changes of the focus, pointing, path
length and sensitivity, often in an unpredictable way. Thermal
Design and Thermal Behaviour of Radio Telescopes and their
Enclosures reviews the design and construction principles of radio
telescopes in view of thermal aspects and heat transfer with the
variable thermal environment; it explains supporting thermal model
calculations and the application and efficiency of thermal
protection and temperature control; it presents many measurements
illustrating the thermal behaviour of telescopes in the environment
of their observatory sites.
The book benefits scientists and radio/communication engineers,
telescope designers and construction firms as well as telescope
operators, observatory staff, but also the observing astronomer who
is directly confronted with the thermal behaviour of a
telescope.
This book presents the Proceedings of the 54th Winter School of
Theoretical Physics on Simplicity of Complexity in Economic and
Social Systems, held in Ladek Zdroj, Poland, from 18 to 24 February
2018. The purpose of the book is to introduce the new
interdisciplinary research that links statistical physics, and
particular attention is given to link physics of complex systems,
with financial analysis and sociology. The main tools used in these
areas are numerical simulation of agents behavior and the
interpretation of results with the help of complexity methods,
therefore a background in statistical physics and in physics of
phase transition is necessary to take the first steps towards these
research fields called econophysics and sociophysics. In this
perspective, the book is intended to graduated students and young
researchers who want to begin the study of this established new
area, which connects physicists, economists, sociologists and IT
professionals, to better understand complexity phenomena existing
not only in physics but also in complex systems being seemingly far
from traditional view at physics.
This book is dedicated to the atmosphere of our planet, and
discusses historical and contemporary achievements in
meteorological science and technology for the betterment of
society. The book explores many significant atmospheric phenomena
and physical processes from the local to global scale, as well as
from the perspective of short and long-term time scales, and links
these processes to various applications in other scientific
disciplines with linkages to meteorology. In addition to addressing
general topics such as climate system dynamics and climate change,
the book also discusses atmospheric boundary layer, atmospheric
waves, atmospheric chemistry, optics/photometeors, electricity,
atmospheric modeling and numeric weather prediction. Through its
interdisciplinary approach, the book will be of interest to
researchers, students and academics in meteorology and atmospheric
science, environmental physics, climate change dynamics, air
pollution and human health impacts of atmospheric aerosols.
This book intends to introduce some recent results on passivity of
complex dynamical networks with single weight and multiple weights.
The book collects novel research ideas and some definitions in
complex dynamical networks, such as passivity, output strict
passivity, input strict passivity, finite-time passivity, and
multiple weights. Furthermore, the research results previously
published in many flagship journals are methodically edited and
presented in a unified form. The book is likely to be of interest
to university researchers and graduate students in Engineering and
Mathematics who wish to study the passivity of complex dynamical
networks.
This book presents mainly studies on the calculation methods of
thermal radiative properties of uniaxial anisotropic materials,
unidirectional transmission, ultrabroadband perfect absorption, and
near-field radiative heat transfer with uniaxial anisotropic
materials. The results obtained in this book can not only deepen
our understanding of the thermal radiative properties of
anisotropic materials, but also have important theoretical guiding
significance in energy conversion, energy-saving technology, and
design of novel devices.
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
Our original objective in writing this book was to demonstrate how
the concept of the equation of motion of a Brownian particle - the
Langevin equation or Newtonian-like evolution equation of the
random phase space variables describing the motion - first
formulated by Langevin in 1908 - so making him inter alia the
founder of the subject of stochastic differential equations, may be
extended to solve the nonlinear problems arising from the Brownian
motion in a potential. Such problems appear under various guises in
many diverse applications in physics, chemistry, biology,
electrical engineering, etc. However, they have been invariably
treated (following the original approach of Einstein and
Smoluchowski) via the Fokker-Planck equation for the evolution of
the probability density function in phase space. Thus the more
simple direct dynamical approach of Langevin which we use and
extend here, has been virtually ignored as far as the Brownian
motion in a potential is concerned. In addition two other
considerations have driven us to write this new edition of The
Langevin Equation. First, more than five years have elapsed since
the publication of the third edition and following many suggestions
and comments of our colleagues and other interested readers, it
became increasingly evident to us that the book should be revised
in order to give a better presentation of the contents. In
particular, several chapters appearing in the third edition have
been rewritten so as to provide a more direct appeal to the
particular community involved and at the same time to emphasize via
a synergetic approach how seemingly unrelated physical problems all
involving random noise may be described using virtually identical
mathematical methods. Secondly, in that period many new and
exciting developments have occurred in the application of the
Langevin equation to Brownian motion. Consequently, in order to
accommodate all these, a very large amount of new material has been
added so as to present a comprehensive overview of the subject.
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