Methods Of Contemporary Mathematical Statistical Physics

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Methods of Contemporary Mathematical Statistical Physics

Marek Biskup
Methods of Contemporary Mathematical Statistical Physics Book PDF

Author : Marek Biskup
Publisher : Springer Science & Business Media
Page : 356 pages
File Size : 51,8 Mb
Release : 2009-03-25
Category : Mathematics
ISBN : 9783540927952

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Methods of Contemporary Mathematical Statistical Physics by Marek Biskup Pdf

This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. An introductory chapter on lattice spin models is useful as a background for other lectures of the collection. The topics include new results on phase transitions for gradient lattice models (with introduction to the techniques of the reflection positivity), stochastic geometry reformulation of classical and quantum Ising models, the localization/delocalization transition for directed polymers. A general rigorous framework for theory of metastability is presented and particular applications in the context of Glauber and Kawasaki dynamics of lattice models are discussed. A pedagogical account of several recently discussed topics in nonequilibrium statistical mechanics with an emphasis on general principles is followed by a discussion of kinetically constrained spin models that are reflecting important peculiar features of glassy dynamics.

Methods in Statistical Mechanics

Osvaldo Civitarese,Manuel Gadella
Methods in Statistical Mechanics Book PDF

Author : Osvaldo Civitarese,Manuel Gadella
Publisher : Springer Nature
Page : 185 pages
File Size : 48,6 Mb
Release : 2020-09-07
Category : Science
ISBN : 9783030536589

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Methods in Statistical Mechanics by Osvaldo Civitarese,Manuel Gadella Pdf

This book presents a variety of techniques for tackling phenomena that are not amenable to the conventional approach based on the concept of probabilities. The methods described rely on the use of path integration, thermal Green functions, time-temperature propagators, Liouville operators, second quantization, and field correlators at finite density and temperature. Also exploring the statistical mechanics of unstable quantum systems, the book is intended as a supplementary or reference text for use in one-semester graduate courses on Quantum Mechanics, Thermodynamics, Electromagnetism, and Mathematical Methods in Physics.

Statistical Physics

Josef Honerkamp
Statistical Physics Book PDF

Author : Josef Honerkamp
Publisher : Springer Science & Business Media
Page : 557 pages
File Size : 54,5 Mb
Release : 2012-06-19
Category : Science
ISBN : 9783642286841

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Statistical Physics by Josef Honerkamp Pdf

The application of statistical methods to physics is essential. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confronted with. Therefore the text contains more concepts and methods in statistics than the student would need for statistical mechanics alone. Methods from mathematical statistics and stochastics for the analysis of data are discussed as well. The book is divided into two parts, focusing first on the modeling of statistical systems and then on the analysis of these systems. Problems with hints for solution help the students to deepen their knowledge. The third edition has been updated and enlarged with new sections deepening the knowledge about data analysis. Moreover, a customized set of problems with solutions is accessible on the Web at extras.springer.com.

Contemporary Problems in Statistical Physics

George H. Weiss
Contemporary Problems in Statistical Physics Book PDF

Author : George H. Weiss
Publisher : SIAM
Page : 267 pages
File Size : 54,7 Mb
Release : 1994-01-01
Category : Science
ISBN : 1611971551

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Contemporary Problems in Statistical Physics by George H. Weiss Pdf

This collection of independent articles describes some mathematical problems recently developed in statistical physics and theoretical chemistry. The book introduces and reviews current research on such topics as nonlinear systems and colored noise, stochastic resonance, percolation, the trapping problem in the theory of random walks, and diffusive models for chemical kinetics. Some of these topics have never before been presented in expository book form. Applied mathematicians will be introduced to some contemporary problems in statistical physics. In addition, a number of unsolved problems currently attracting intensive research efforts are described, and some of the techniques used in this research are outlined, along with principal results and outstanding questions. A wide spectrum of mathematical techniques is covered, but the main emphasis is on introducing the mathematician to different research areas with open and interesting problems. This is an ideal starting point for the mathematician with an elementary acquaintance with the methodology of statistical physics. The material is meant to be introductory and terms are carefully defined. Many topics that require further study are introduced, providing new research ideas for the applied mathematician or thesis problems for the graduate student.

Statistical Physics

Josef Honerkamp
Statistical Physics Book PDF

Author : Josef Honerkamp
Publisher : Springer Science & Business Media
Page : 519 pages
File Size : 40,6 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662047637

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Statistical Physics by Josef Honerkamp Pdf

The book is divided into two parts. The first part looks at the modeling of statistical systems before moving on to an analysis of these systems. This second edition contains new material on: estimators based on a probability distribution for the parameters; identification of stochastic models from observations; and statistical tests and classification methods.

Introduction to Mathematical Statistical Physics

Robert Adolʹfovich Minlos
Introduction to Mathematical Statistical Physics Book PDF

Author : Robert Adolʹfovich Minlos
Publisher : American Mathematical Soc.
Page : 114 pages
File Size : 48,9 Mb
Release : 2000
Category : Statistical physics
ISBN : 9780821813379

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Introduction to Mathematical Statistical Physics by Robert Adolʹfovich Minlos Pdf

This book presents a mathematically rigorous approach to the main ideas and phenomena of statistical physics. The introduction addresses the physical motivation, focusing on the basic concept of modern statistical physics, that is the notion of Gibbsian random fields. Properties of Gibbsian fields are analysed in two ranges of physical parameters: "regular" (corresponding to high-temperature and low-density regimes) where no phase transition is exhibited, and "singular" (low temperature regimes) where such transitions occur. Next, a detailed approach to the analysis of the phenomena of phase transitions of the first kind, the Pirogov-Sinai theory, is presented. The author discusses this theory in a general way and illustrates it with the example of a lattice gas with three types of particles. The conclusion gives a brief review of recent developments arising from this theory. The volume is written for the beginner, yet advanced students will benefit from it as well. The book will serve nicely as a supplementary textbook for course study. The prerequisites are an elementary knowledge of mechanics, probability theory and functional analysis.

Statistical Mechanics of Lattice Systems

Sacha Friedli,Yvan Velenik
Statistical Mechanics of Lattice Systems Book PDF

Author : Sacha Friedli,Yvan Velenik
Publisher : Cambridge University Press
Page : 643 pages
File Size : 53,5 Mb
Release : 2017-11-23
Category : Mathematics
ISBN : 9781107184824

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Statistical Mechanics of Lattice Systems by Sacha Friedli,Yvan Velenik Pdf

A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.

Statistical Physics

Josef Honerkamp
Statistical Physics Book PDF

Author : Josef Honerkamp
Publisher : Springer
Page : 536 pages
File Size : 47,5 Mb
Release : 2002-06-10
Category : Science
ISBN : 9783540430209

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Statistical Physics by Josef Honerkamp Pdf

The book is divided into two parts. The first part looks at the modeling of statistical systems before moving on to an analysis of these systems. This second edition contains new material on: estimators based on a probability distribution for the parameters; identification of stochastic models from observations; and statistical tests and classification methods.

From Microphysics to Macrophysics

Roger Balian
From Microphysics to Macrophysics Book PDF

Author : Roger Balian
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 45,9 Mb
Release : 2006-11-28
Category : Science
ISBN : 9783540454755

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From Microphysics to Macrophysics by Roger Balian Pdf

This popular, often cited text returns in a softcover edition to provide a thorough introduction to statistical physics and thermodynamics, and to exhibit the universality of the chain of ideas leading from the laws of microphysics to the macroscopic behaviour of matter. A wide range of applications illustrates the concepts, and many exercises reinforce understanding. Volume I discusses the probabilistic description of quantum or classical systems, the Boltzmann-Gibbs distributions, the conservation laws, and the interpretation of entropy as missing information. Thermodynamics and electromagnetism in matter are dealt with, as well as applications to dilute and condensed gases, and to phase transitions.

From Microphysics to Macrophysics

Roger Balian
From Microphysics to Macrophysics Book PDF

Author : Roger Balian
Publisher : Springer Science & Business Media
Page : 626 pages
File Size : 40,7 Mb
Release : 2007-06-26
Category : Science
ISBN : 9783540454809

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From Microphysics to Macrophysics by Roger Balian Pdf

This popular, often cited text returns in a softcover edition to provide a thorough introduction to statistical physics and thermodynamics, and to exhibit the universal chain of ideas leading from the laws of microphysics to the macroscopic behaviour of matter. A wide range of applications illustrates the concepts, and many exercises reinforce understanding. Volume II applies statistical methods to systems governed by quantum effects, in particular to solid state physics, explaining properties due to the crystal structure or to the lattice excitations or to the electrons. The last chapters are devoted to non-equilibrium processes and to kinetic equations, with many applications included.

Mathematical Foundations of Classical Statistical Mechanics

D.Ya. Petrina,V.I. Gerasimenko,P V Malyshev
Mathematical Foundations of Classical Statistical Mechanics Book PDF

Author : D.Ya. Petrina,V.I. Gerasimenko,P V Malyshev
Publisher : CRC Press
Page : 352 pages
File Size : 42,9 Mb
Release : 2002-04-11
Category : Mathematics
ISBN : 9781482265026

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Mathematical Foundations of Classical Statistical Mechanics by D.Ya. Petrina,V.I. Gerasimenko,P V Malyshev Pdf

This monograph considers systems of infinite number of particles, in particular the justification of the procedure of thermodynamic limit transition. The authors discuss the equilibrium and non-equilibrium states of infinite classical statistical systems. Those states are defined in terms of stationary and nonstationary solutions to the Bogolyubov

Statistical Mechanics

Giovanni Gallavotti
Statistical Mechanics Book PDF

Author : Giovanni Gallavotti
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 51,9 Mb
Release : 1999-07-21
Category : Science
ISBN : 3540648836

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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.

Mathematical Foundations of Classical Statistical Mechanics

Dmitriĭ I͡Akovlevich Petrina,Viktor Ivanovich Gerasimenko,Petr Vitalʹevich Malyshev
Mathematical Foundations of Classical Statistical Mechanics Book PDF

Author : Dmitriĭ I͡Akovlevich Petrina,Viktor Ivanovich Gerasimenko,Petr Vitalʹevich Malyshev
Publisher : CRC Press
Page : 362 pages
File Size : 41,9 Mb
Release : 1989
Category : Mathematical physics
ISBN : 2881246818

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Mathematical Foundations of Classical Statistical Mechanics by Dmitriĭ I͡Akovlevich Petrina,Viktor Ivanovich Gerasimenko,Petr Vitalʹevich Malyshev Pdf

Introducing the functional method practiced in the USSR, this well- translated monograph considers the problem of investigating systems of infinite numbers of particles. It discusses the equilibrium and non- equilibrium states of infinite classical statistical systems, and investigates the thermodynamic limit for non-equilibrium systems and of the states of infinite systems, for which thermodynamic equivalence is proved. Book club price, $95. Annotation copyrighted by Book News, Inc., Portland, OR

Statistical Mechanics: Algorithms and Computations

Werner Krauth
Statistical Mechanics Algorithms and Computations Book PDF

Author : Werner Krauth
Publisher : OUP Oxford
Page : 356 pages
File Size : 48,6 Mb
Release : 2006-09-14
Category : Computers
ISBN : 0198515359

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Statistical Mechanics: Algorithms and Computations by Werner Krauth Pdf

This book discusses the computational approach in modern statistical physics, adopting simple language and an attractive format of many illustrations, tables and printed algorithms. The discussion of key subjects in classical and quantum statistical physics will appeal to students, teachers and researchers in physics and related sciences. The focus is on orientation with implementation details kept to a minimum. - ;This book discusses the computational approach in modern statistical physics in a clear and accessible way and demonstrates its close relation to other approaches in theoretical physics. Individual chapters focus on subjects as diverse as the hard sphere liquid, classical spin models, single quantum particles and Bose-Einstein condensation. Contained within the chapters are in-depth discussions of algorithms, ranging from basic enumeration methods to modern Monte Carlo techniques. The emphasis is on orientation, with discussion of implementation details kept to a minimum. Illustrations, tables and concise printed algorithms convey key information, making the material very accessible. The book is completely self-contained and graphs and tables can readily be reproduced, requiring minimal computer code. Most sections begin at an elementary level and lead on to the rich and difficult problems of contemporary computational and statistical physics. The book will be of interest to a wide range of students, teachers and researchers in physics and the neighbouring sciences. An accompanying CD allows incorporation of the book's content (illustrations, tables, schematic programs) into the reader's own presentations. - ;'This book is the best one I have reviewed all year.' Alan Hinchliffe, Physical Sciences Educational Reviews -

Functional Integrals in Quantum Field Theory and Statistical Physics

V.N. Popov
Functional Integrals in Quantum Field Theory and Statistical Physics Book PDF

Author : V.N. Popov
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 42,8 Mb
Release : 2001-11-30
Category : Science
ISBN : 1402003072

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Functional Integrals in Quantum Field Theory and Statistical Physics by V.N. Popov Pdf

Functional integration is one of the most powerful methods of contempo rary theoretical physics, enabling us to simplify, accelerate, and make clearer the process of the theoretician's analytical work. Interest in this method and the endeavour to master it creatively grows incessantly. This book presents a study of the application of functional integration methods to a wide range of contemporary theoretical physics problems. The concept of a functional integral is introduced as a method of quantizing finite-dimensional mechanical systems, as an alternative to ordinary quantum mechanics. The problems of systems quantization with constraints and the manifolds quantization are presented here for the first time in a monograph. The application of the functional integration methods to systems with an infinite number of degrees of freedom allows one to uniquely introduce and formulate the diagram perturbation theory in quantum field theory and statistical physics. This approach is significantly simpler than the widely accepted method using an operator approach.