Statistical Mechanics Of Phases And Phase Transitions

Author : Steven A. Kivelson,Jack Mingde Jiang,Jeffrey Chang
Publisher : Princeton University Press
Page : 472 pages
File Size : 55,8 Mb
Release : 2024-06-25
Category : Science
ISBN : 9780691249735

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Statistical Mechanics of Phases and Phase Transitions by Steven A. Kivelson,Jack Mingde Jiang,Jeffrey Chang Pdf

An engaging undergraduate introduction to the statistical mechanics of phase transitions Statistical mechanics deploys a powerful set of mathematical approaches for studying the thermodynamic properties of complex physical systems. This textbook introduces students to the statistical mechanics of systems undergoing changes of state, focusing on the basic principles for classifying distinct thermodynamic phases and the critical phenomena associated with transitions between them. Uniquely designed to promote active learning, Statistical Mechanics of Phases and Phase Transitions presents some of the most beautiful and profound concepts in physics, enabling students to obtain an essential understanding of a computationally challenging subject without getting lost in the details. Provides a self-contained, conceptually deep introduction to the statistical mechanics of phases and phase transitions from a modern perspective Carefully leads students from spontaneously broken symmetries to the universality of phase transitions and the renormalization group Encourages student-centric active learning suitable for both the classroom and self-study Features a wealth of guided worksheets with full solutions throughout the book that help students learn by doing Includes informative appendixes that cover key mathematical concepts and methods Ideal for undergraduate physics majors and beginning graduate students Solutions manual for all end-of-chapter problems (available only to instructors)

Author : J. M. Yeomans
Publisher : Clarendon Press
Page : 165 pages
File Size : 45,6 Mb
Release : 1992-05-07
Category : Electronic
ISBN : 9780191589706

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Statistical Mechanics of Phase Transitions by J. M. Yeomans Pdf

The book provides an introduction to the physics which underlies phase transitions and to the theoretical techniques currently at our disposal for understanding them. It will be useful for advanced undergraduates, for post-graduate students undertaking research in related fields, and for established researchers in experimental physics, chemistry, and metallurgy as an exposition of current theoretical understanding. - ;Recent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered, and two chapters are devoted to the renormalization group, which led to a break-through in the field. The book will be useful as a textbook for a course in `Phase Transitions', as an introduction for graduate students undertaking research in related fields, and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist. - ;Introduction; Statistical mechanics and thermodynamics; Models; Mean-field theories; The transfer matrix; Series expansions; Monte Carlo simulations; The renormalization group; Implementations of the renormalization group. -

Author : M. Baus,Carlos F. Tejero
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 40,9 Mb
Release : 2007-11-15
Category : Science
ISBN : 9783540746324

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Equilibrium Statistical Physics by M. Baus,Carlos F. Tejero Pdf

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.

Author : Nigel Goldenfeld
Publisher : CRC Press
Page : 250 pages
File Size : 43,7 Mb
Release : 2018-03-08
Category : Science
ISBN : 9780429973123

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Lectures On Phase Transitions And The Renormalization Group by Nigel Goldenfeld Pdf

Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.

Author : Marc Baus,Carlos F. Tejero
Publisher : Springer Nature
Page : 440 pages
File Size : 43,6 Mb
Release : 2021-06-04
Category : Science
ISBN : 9783030754327

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Equilibrium Statistical Physics by Marc Baus,Carlos F. Tejero Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 153 pages
File Size : 42,9 Mb
Release : 1994
Category : Electronic
ISBN : OCLC:912024926

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Statistical Mechanics of Phase Transitions by Anonim Pdf

Author : G‚za Gy”rgyi
Publisher : World Scientific
Page : 608 pages
File Size : 52,8 Mb
Release : 1992
Category : Science
ISBN : 981020938X

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From Phase Transitions to Chaos by G‚za Gy”rgyi Pdf

This volume comprises about forty research papers and essays covering a wide range of subjects in the forefront of contemporary statistical physics. The contributors are renown scientists and leading authorities in several different fields. This book is dedicated to P‚ter Sz‚pfalusy on the occasion of his sixtieth birthday. Emphasis is placed on his two main areas of research, namely phase transitions and chaotic dynamical systems, as they share common aspects like the applicability of the probabilistic approach or scaling behaviour and universality. Several papers deal with equilibrium phase transitions, critical dynamics, and pattern formation. Also represented are disordered systems, random field systems, growth processes, and neural network. Statistical properties of interacting electron gases, such as the Kondo lattice, the Wigner crystal, and the Hubbard model, are treated. In the field of chaos, Hamiltonian transport and resonances, strange attractors, multifractal characteristics of chaos, and the effect of weak perturbations are discussed. A separate section is devoted to selected mathematical aspects of dynamical systems like the foundation of statistical mechanics, including the problem of ergodicity, and rigorous results on quantum chaos.

Author : Alexander K. Hartmann,Martin Weigt
Publisher : John Wiley & Sons
Page : 360 pages
File Size : 54,9 Mb
Release : 2006-05-12
Category : Science
ISBN : 9783527606863

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Phase Transitions in Combinatorial Optimization Problems by Alexander K. Hartmann,Martin Weigt Pdf

A concise, comprehensive introduction to the topic of statistical physics of combinatorial optimization, bringing together theoretical concepts and algorithms from computer science with analytical methods from physics. The result bridges the gap between statistical physics and combinatorial optimization, investigating problems taken from theoretical computing, such as the vertex-cover problem, with the concepts and methods of theoretical physics. The authors cover rapid developments and analytical methods that are both extremely complex and spread by word-of-mouth, providing all the necessary basics in required detail. Throughout, the algorithms are shown with examples and calculations, while the proofs are given in a way suitable for graduate students, post-docs, and researchers. Ideal for newcomers to this young, multidisciplinary field.

Author : Hidetoshi Nishimori,Gerardo Ortiz
Publisher : Oxford University Press
Page : 373 pages
File Size : 40,6 Mb
Release : 2011
Category : Science
ISBN : 9780199577224

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Elements of Phase Transitions and Critical Phenomena by Hidetoshi Nishimori,Gerardo Ortiz Pdf

As an introductory account of the theory of phase transitions and critical phenomena, this book reflects lectures given by the authors to graduate students at their departments and is thus classroom-tested to help beginners enter the field. Most parts are written as self-contained units and every new concept or calculation is explained in detail without assuming prior knowledge of the subject. The book significantly enhances and revises a Japanese version which is a bestseller in the Japanese market and is considered a standard textbook in the field. It contains new pedagogical presentations of field theory methods, including a chapter on conformal field theory, and various modern developments hard to find in a single textbook on phase transitions. Exercises are presented as the topics develop, with solutions found at the end of the book, making the text useful for self-teaching, as well as for classroom learning.

Author : Howard Ted Davis
Publisher : Wiley-VCH
Page : 736 pages
File Size : 47,8 Mb
Release : 1996
Category : Science
ISBN : UOM:39015037277509

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Statistical Mechanics of Phases, Interfaces, and Thin Films by Howard Ted Davis Pdf

Author : [Anonymus AC01412183]
Publisher : Unknown
Page : 220 pages
File Size : 53,5 Mb
Release : 1995
Category : Critical phenomena (Physics)
ISBN : 0122203178

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Phase transitions and critical phenomena. 17. Statistical mechanics of driven diffusive systems by [Anonymus AC01412183] Pdf

Author : Giovanni Gallavotti
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 46,7 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783662039526

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Statistical Mechanics by Giovanni Gallavotti Pdf

This clear book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmann's works. The author emphasises the relation between microscopic reversibility and macroscopic irreversibility, explaining fundamental concepts in detail.

Author : Harry Eugene Stanley
Publisher : Unknown
Page : 344 pages
File Size : 47,6 Mb
Release : 1971
Category : Science
ISBN : PSU:000030869875

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Introduction to Phase Transitions and Critical Phenomena by Harry Eugene Stanley Pdf

First published in 1971, this highly popular text is devoted to the interdisciplinary area of critical phenomena, with an emphasis on liquid-gas and ferromagnetic transitions. Advanced undergraduate and graduate students in thermodynamics, statistical mechanics, and solid state physics, aswell as researchers in physics, mathematics, chemistry, and materials science, will welcome this paperback edition of Stanley's acclaimed text.

Author : Ya. G. Sinai
Publisher : Elsevier
Page : 163 pages
File Size : 41,9 Mb
Release : 2014-05-20
Category : Science
ISBN : 9781483158495

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Theory of Phase Transitions by Ya. G. Sinai Pdf

Theory of Phase Transitions: Rigorous Results is inspired by lectures on mathematical problems of statistical physics presented in the Mathematical Institute of the Hungarian Academy of Sciences, Budapest. The aim of the book is to expound a series of rigorous results about the theory of phase transitions. The book consists of four chapters, wherein the first chapter discusses the Hamiltonian, its symmetry group, and the limit Gibbs distributions corresponding to a given Hamiltonian. The second chapter studies the phase diagrams of lattice models that are considered at low temperatures. The notions of a ground state of a Hamiltonian and the stability of the set of the ground states of a Hamiltonian are also introduced. Chapter 3 presents the basic theorems about lattice models with continuous symmetry, and Chapter 4 focuses on the second-order phase transitions and on the theory of scaling probability distributions, connected to these phase transitions. Specialists in statistical physics and other related fields will greatly benefit from this publication.

Author : Anonim
Publisher : Academic Press
Page : 320 pages
File Size : 48,5 Mb
Release : 2000-10-10
Category : Science
ISBN : 0122203186

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Phase Transitions and Critical Phenomena by Anonim Pdf

The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results. No longer an area of specialist interest, it has acquired a central focus in condensed matter studies. The major aim of this serial is to provide review articles that can serve as standard references for research workers in the field, and for graduate students and others wishing to obtain reliable information on important recent developments. The two review articles in this volume complement each other in a remarkable way. Both deal with what might be called the modern geometric approach to the properties of macroscopic systems. The first article by Georgii (et al.) describes how recent advances in the application of geometric ideas leads to a better understanding of pure phases and phase transitions in equilibrium systems. The second article by Alava (et al.) deals with geometrical aspects of multi-body systems in a hands-on way, going beyond abstract theory to obtain practical answers. The combination of computers and geometrical ideas described in this volume will doubtless play a major role in the development of statistical mechanics in the twenty-first century.