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Author : Mario Rasetti
Publisher : Unknown
Page : 324 pages
File Size : 54,5 Mb
Release : 1986
Category : Electronic
ISBN : 981441266X
Author : Mario Rasetti
Publisher : World Scientific
Page : 338 pages
File Size : 54,7 Mb
Release : 1986
Category : Science
ISBN : 9971966298
This book consists of a set of lecture notes on graduate courses in Analytical Mechanics and Statistical Mechanics which the author successively gave at the University of Miami, and at the University and Polytechnic of Turin over the past decade. The book centers on the idea that stochasticity can come out of nonlinearities even in the case of a few degrees of freedom, and on how this bears on the known methods of classical statistical mechanics and its link with thermodynamics.
Author : Debashish Chowdhury,Dietrich Stauffer
Publisher : Wiley-VCH
Page : 564 pages
File Size : 51,6 Mb
Release : 2000-10-10
Category : Science
ISBN : 3527403000
This modern textbook provides a complete survey of the broad field of statistical mechanics. Based on a series of lectures, it adopts a special pedagogical approach. The authors, both excellent lecturers, clearly distinguish between general principles and their applications in solving problems. Analogies between phase transitions in fluids and magnets using continuum and spin models are emphasized, leading to a better understanding. Such special features as historical notes, summaries, problems, mathematical appendix, computer programs and order of magnitude estimations distinguish this volume from competing works. Due to its ambitious level and an extensive list of references for technical details on advanced topics, this is equally a must for researchers in condensed matter physics, materials science, polymer science, solid state physics, and astrophysics. From the contents Thermostatics: phase stability, phase equilibria, phase transitions; Statistical Mechanics: calculation, correlation functions, ideal classical gases, ideal quantum gases; Interacting Systems: models, computer simulation, mean-field approximation; Interacting Systems beyond Mean-field Theory: scaling and renormalization group, foundations of statistical mechanics "The present book, however, is unique that it both is written in a very pedagogic, easily comprehensible style, and, nevertheless, goes from the basic principles all the way to these modern topics, containing several chapters on the various approaches of mean field theory, and a chapter on computer simulation. A characteristic feature of this book is that often first some qualitative arguments are given, or a "pedestrians's approach", and then a more general and/or more rigorous derivation is presented as well. Particularly useful are also "supplementary notes", pointing out interesting applications and further developments of the subject, a detailed bibliography, problems and historical notes, and many pedagogic figures."
Author : Roberto Livi,Paolo Politi
Publisher : Cambridge University Press
Page : 439 pages
File Size : 55,9 Mb
Release : 2017-10-05
Category : Science
ISBN : 9781107049543
A comprehensive and pedagogical text on nonequilibrium statistical physics, covering topics from random walks to pattern formation.
Author : Gene Mazenko
Publisher : Wiley-VCH
Page : 638 pages
File Size : 43,6 Mb
Release : 2000-10-10
Category : Mathematics
ISBN : UVA:X004421105
A completely modern approach to statistical mechanics Gene Mazenko presents an introduction to statistical mechanics from the modern condensed matter physics point of view. Emphasizing symmetry principles, conservation laws, and the consequences of broken symmetry, all of which are crucial to a fundamental understanding of statistical physics, this volume discusses the role of broken translational symmetry in treating solids.Professor Mazenko develops a firm basis for the choice of macrovariables or thermodynamic variables, stressing the importance of Nambu-Goldstone modes. He develops this theory beyond the usual examples of simple fluids with discussions of magnets, superfluids, and solids. Based on the author's more than 30 years of experience with this subject, Equilibrium Statistical Mechanics: * Develops the structure of statistical mechanics and thermodynamics from fundamentals * Highlights the approach of coarse graining in statistical mechanics * Discusses ergodic theory and information theory * Treats phase transitions in a number of specific applications * Includes copious examples and end-of-chapter problems * Gives full development to the rich history of this topic Look for Mazenko's forthcoming volumes, Fluctuations, Order, and Defects; Nonequilibrium Statistical Mechanics; and Field Theory Methods in Statistical Mechanics. Combined with this self-contained volume, these works span the entire graduate-level program.
Author : Carolyn M. Van Vliet
Publisher : World Scientific
Page : 987 pages
File Size : 45,5 Mb
Release : 2008
Category : Science
ISBN : 9789812704771
This book encompasses our current understanding of the ensemble approach to many-body physics, phase transitions and other thermal phenomena, as well as the quantum foundations of linear response theory, kinetic equations and stochastic processes. It is destined to be a standard text for graduate students, but it will also serve the specialist-researcher in this fascinating field; some more elementary topics have been included in order to make the book self-contained.The historical methods of J Willard Gibbs and Ludwig Boltzmann, applied to the quantum description rather than phase space, are featured. The tools for computations in the microcanonical, canonical and grand-canonical ensembles are carefully developed and then applied to a variety of classical and standard quantum situations. After the language of second quantization has been introduced, strongly interacting systems, such as quantum liquids, superfluids and superconductivity, are treated in detail. For the connoisseur, there is a section on diagrammatic methods and applications.In the second part dealing with non-equilibrium processes, the emphasis is on the quantum foundations of Markovian behaviour and irreversibility via the Pauli-Van Hove master equation. Justifiable linear response expressions and the quantum-Boltzmann approach are discussed and applied to various condensed matter problems. From this basis the Onsager-Casimir relations are derived, together with the mesoscopic master equation, the Langevin equation and the Fokker-Planck truncation procedure. Brownian motion and modern stochastic problems such as fluctuations in optical signals and radiation fields briefly make the round.
Author : John Cardy,Gregory Falkovich,K. Gawędzki
Publisher : Cambridge University Press
Page : 180 pages
File Size : 55,6 Mb
Release : 2008-12-11
Category : Mathematics
ISBN : 0521715148
This self-contained volume introduces modern methods of statistical mechanics in turbulence, with three harmonised lecture courses by world class experts.
Author : Bruce Berne
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468425536
The last decade has been marked by a rapid growth in statistical mechanics, especially in connection with the physics and chemistry of the fluid state. Our understanding in these areas has been considerably advanced and enriched by the discovery of new techniques and the sharpening of old techniques, ranging all the way from computer simulation to mode-mode coupling theories. Statistical mechanics brings together under one roof a broad spectrum of mathematical techniques. The aim of these volumes is to provide a didactic treatment of those techniques that are most useful for the study of problems of current interest to theoretical chemists. The emphasis throughout is on the techniques themselves and not on reviewing the enormous literature in statistical mechanics. Each author was charged with the following task. Given N pages, (a) pose the problem, (b) present those aspects of the particular technique that clearly illustrate its internal workings, (c) apply the technique to the solution of several illustrative examples, and (d) write the chapter so that it will enable the reader to approach key citations to the literature intelligently. These volumes are designed for graduate students and research workers in statistical mechanics. Nevertheless, because of the range of techniques and their general utility, they should be useful in other areas as well.
Author : Robert Zwanzig
Publisher : Oxford University Press
Page : 233 pages
File Size : 40,8 Mb
Release : 2001-04-19
Category : Science
ISBN : 9780198032151
This is a presentation of the main ideas and methods of modern nonequilibrium statistical mechanics. It is the perfect introduction for anyone in chemistry or physics who needs an update or background in this time-dependent field. Topics covered include fluctuation-dissipation theorem; linear response theory; time correlation functions, and projection operators. Theoretical models are illustrated by real-world examples and numerous applications such as chemical reaction rates and spectral line shapes are covered. The mathematical treatments are detailed and easily understandable and the appendices include useful mathematical methods like the Laplace transforms, Gaussian random variables and phenomenological transport equations.
Author : Sacha Friedli,Yvan Velenik
Publisher : Cambridge University Press
Page : 643 pages
File Size : 44,9 Mb
Release : 2017-11-23
Category : Mathematics
ISBN : 9781107184824
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Author : Michael Plischke,Birger Bergersen
Publisher : World Scientific
Page : 540 pages
File Size : 42,5 Mb
Release : 1994
Category : Science
ISBN : 9810216424
This textbook concentrates on modern topics in statistical physics with an emphasis on strongly interacting condensed matter systems. The book is self-contained and is suitable for beginning graduate students in physics and materials science or undergraduates who have taken an introductory course in statistical mechanics. Phase transitions and critical phenomena are discussed in detail including mean field and Landau theories and the renormalization group approach. The theories are applied to a number of interesting systems such as magnets, liquid crystals, polymers, membranes, interacting Bose and Fermi fluids; disordered systems, percolation and spin of equilibrium concepts are also discussed. Computer simulations of condensed matter systems by Monte Carlo-based and molecular dynamics methods are treated.
Author : Michael Plischke,Birger Bergersen
Publisher : World Scientific Publishing Company
Page : 537 pages
File Size : 49,7 Mb
Release : 1994-12-14
Category : Science
ISBN : 9789813104716
Newer Edition Available: Equilibrium Statistical Physics (3rd Edition)This revised and expanded edition of one of the important textbook in statistical physics, is a graduate level text suitable for students in physics, chemistry, and materials science.After a short review of basic concepts, the authors begin the discussion on strongly interacting condensed matter systems with a thorough treatment of mean field and Landau theories of phase transitions. Many examples are worked out in considerable detail. Classical liquids are treated next. Along with traditional approaches to the subject such as the virial expansion and integral equations, newer theories such as perturbation theory and density functional theories are introduced.The modern theory of phase transitions occupies a central place in this book. The development is along historical lines, beginning with the Onsager solution of the two-dimensional Ising model, series expansions, scaling theory, finite-size scaling, and the universality hypothesis. A separate chapter is devoted to the renormalization group approach to critical phenomena. The development of the basic tools is completed in a new chapter on computer simulations in which both Monte Carlo and molecular dynamics techniques are introduced.The remainder of the book is concerned with a discussion of some of the more important modern problems in condensed matter theory. A chapter on quantum fluids deals with Bose condensation, superfluidity, and the BCS and Landau-Ginzburg theories of superconductivity. A new chapter on polymers and membranes contains a discussion of the Gaussian and Flory models of dilute polymer mixtures, the connection of polymer theory to critical phenomena, a discussion of dense polymer mixtures and an introduction to the physical properties of solid and fluid membranes. A chapter on linear response includes the Kubo formalism, the fluctuation-dissipation theorem, Onsager relations and the Boltzmann equation. The last chapter is devoted to disordered materials.Each chapter contains a substantial number of exercises. A manual with a complete set of solutions to these problems is available under separate cover.
Author : Carl S. Helrich
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 45,6 Mb
Release : 2008-11-19
Category : Science
ISBN : 9783540854173
Thermodynamics is not the oldest of sciences. Mechanics can make that claim. Thermodynamicsisaproductofsomeofthegreatestscienti?cmindsofthe19thand 20th centuries. But it is suf?ciently established that most authors of new textbooks in thermodynamics ?nd it necessary to justify their writing of yet another textbook. I ?nd this an unnecessary exercise because of the centrality of thermodynamics as a science in physics, chemistry, biology, and medicine. I do acknowledge, however, that instruction in thermodynamics often leaves the student in a confused state. My attempt in this book is to present thermodynamics in as simple and as uni?ed a form as possible. As teachers we identify the failures of our own teachers and attempt to correct them. Although I personally acknowledge with a deep gratitude the appreciation for thermodynamics that I found as an undergraduate, I also realize that my teachers did not convey to me the sweeping grandeur of thermodynamics. Speci?cally the s- plicity and the power that James Clerk Maxwell found in the methods of Gibbs were not part of my undergraduate experience. Unfortunately some modern authors also seem to miss this central theme, choosing instead to introduce the thermodynamic potentials as only useful functions at various points in the development.
Author : Ilya Prigogine
Publisher : Courier Dover Publications
Page : 337 pages
File Size : 50,8 Mb
Release : 2017-03-17
Category : Science
ISBN : 9780486815558
Groundbreaking monograph by Nobel Prize winner for researchers and graduate students covers Liouville equation, anharmonic solids, Brownian motion, weakly coupled gases, scattering theory and short-range forces, general kinetic equations, more. 1962 edition.
Author : Mario Rasetti
Publisher : World Scientific
Page : 234 pages
File Size : 45,7 Mb
Release : 1990
Category : Science
ISBN : 9810202253
http://www.worldscientific.com/worldscibooks/10.1142/1095
