Introduction To Mathematical Statistical Physics

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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 : 55,7 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 : 45,9 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.

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 : 40,5 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.

Mathematical Foundations of Statistical Mechanics

Aleksandr I?Akovlevich Khinchin
Mathematical Foundations of Statistical Mechanics Book PDF

Author : Aleksandr I?Akovlevich Khinchin
Publisher : Courier Corporation
Page : 212 pages
File Size : 52,5 Mb
Release : 1949-01-01
Category : Mathematics
ISBN : 0486601471

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Mathematical Foundations of Statistical Mechanics by Aleksandr I?Akovlevich Khinchin Pdf

Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.

Statistical Physics

Daijiro Yoshioka
Statistical Physics Book PDF

Author : Daijiro Yoshioka
Publisher : Springer Science & Business Media
Page : 206 pages
File Size : 53,5 Mb
Release : 2007-05-30
Category : Science
ISBN : 9783540286066

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Statistical Physics by Daijiro Yoshioka Pdf

This book provides a comprehensive presentation of the basics of statistical physics. The first part explains the essence of statistical physics and how it provides a bridge between microscopic and macroscopic phenomena, allowing one to derive quantities such as entropy. Here the author avoids going into details such as Liouville’s theorem or the ergodic theorem, which are difficult for beginners and unnecessary for the actual application of the statistical mechanics. In the second part, statistical mechanics is applied to various systems which, although they look different, share the same mathematical structure. In this way readers can deepen their understanding of statistical physics. The book also features applications to quantum dynamics, thermodynamics, the Ising model and the statistical dynamics of free spins.

Mathematical Statistical Mechanics

Colin J. Thompson
Mathematical Statistical Mechanics Book PDF

Author : Colin J. Thompson
Publisher : Princeton University Press
Page : 289 pages
File Size : 44,6 Mb
Release : 2015-03-08
Category : Science
ISBN : 9781400868681

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Mathematical Statistical Mechanics by Colin J. Thompson Pdf

While most introductions to statistical mechanics are either too mathematical or too physical, Colin Thompson's book combines mathematical rigor with familiar physical materials. Following introductory chapters on kinetic theory, thermodynamics, the Gibbs ensembles, and the thermodynamic limit, later chapters discuss the classical theories of phase transitions, the Ising model, algebraic methods and combinatorial methods for solving the two-dimensional model in zero field, and some applications of the Ising model to biology. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Introductory Statistical Mechanics for Physicists

D. K. C. MacDonald
Introductory Statistical Mechanics for Physicists Book PDF

Author : D. K. C. MacDonald
Publisher : Courier Corporation
Page : 196 pages
File Size : 44,6 Mb
Release : 2006-01-01
Category : Science
ISBN : 9780486453231

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Introductory Statistical Mechanics for Physicists by D. K. C. MacDonald Pdf

This concise introduction is geared toward those concerned with solid state or low temperature physics. It presents the principles with simplicity and clarity, reviewing issues of critical interest. 1963 edition.

Mathematical Statistical Physics

Anonim
Mathematical Statistical Physics Book PDF

Author : Anonim
Publisher : Elsevier
Page : 849 pages
File Size : 53,9 Mb
Release : 2006-06-27
Category : Science
ISBN : 9780080479231

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Mathematical Statistical Physics by Anonim Pdf

The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians. Introduction to a field of math with many interdisciplinary connections in physics, biology, and computer science Roadmap to the next decade of mathematical statistical mechanics Volume for reference years to come

Introduction to Statistical Physics

Silvio Salinas
Introduction to Statistical Physics Book PDF

Author : Silvio Salinas
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 51,8 Mb
Release : 2001-02-08
Category : Science
ISBN : 0387951199

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Introduction to Statistical Physics by Silvio Salinas Pdf

This textbook covers the basic principles of statistical physics and thermodynamics. The text is pitched at the level equivalent to first-year graduate studies or advanced undergraduate studies. It presents the subject in a straightforward and lively manner. After reviewing the basic probability theory of classical thermodynamics, the author addresses the standard topics of statistical physics. The text demonstrates their relevance in other scientific fields using clear and explicit examples. Later chapters introduce phase transitions, critical phenomena and non-equilibrium phenomena.

A Brief Introduction to Classical, Statistical, and Quantum Mechanics

Oliver Bühler
A Brief Introduction to Classical Statistical and Quantum Mechanics Book PDF

Author : Oliver Bühler
Publisher : American Mathematical Soc.
Page : 165 pages
File Size : 53,8 Mb
Release : 2006-10-12
Category : Mathematical physics
ISBN : 9780821842324

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A Brief Introduction to Classical, Statistical, and Quantum Mechanics by Oliver Bühler Pdf

This book provides a rapid overview of the basic methods and concepts in mechanics for beginning Ph.D. students and advanced undergraduates in applied mathematics or related fields. It is based on a graduate course given in 2006-07 at the Courant Institute of Mathematical Sciences. Among other topics, the book introduces Newton's law, action principles, Hamilton-Jacobi theory, geometric wave theory, analytical and numerical statistical mechanics, discrete and continuous quantum mechanics, and quantum path-integral methods. The focus is on fundamental mathematical methods that provide connections between seemingly unrelated subjects. An example is Hamilton-Jacobi theory, which appears in the calculus of variations, in Fermat's principle of classical mechanics, and in the geometric theory of dispersive wavetrains. The material is developed in a sequence of simple examples and the book can be used in a one-semester class on classical, statistical, and quantum mechanics. Some familiarity with differential equations is required but otherwise the book is self-contained. In particular, no previous knowledge of physics is assumed. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Introduction to Statistical Physics

Kerson Huang
Introduction to Statistical Physics Book PDF

Author : Kerson Huang
Publisher : CRC Press
Page : 305 pages
File Size : 41,6 Mb
Release : 2001-09-20
Category : Mathematics
ISBN : 9781420055764

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Introduction to Statistical Physics by Kerson Huang Pdf

Statistical physics is a core component of most undergraduate (and some post-graduate) physics degree courses. It is primarily concerned with the behavior of matter in bulk-from boiling water to the superconductivity of metals. Ultimately, it seeks to uncover the laws governing random processes, such as the snow on your TV screen. This essential new textbook guides the reader quickly and critically through a statistical view of the physical world, including a wide range of physical applications to illustrate the methodology. It moves from basic examples to more advanced topics, such as broken symmetry and the Bose-Einstein equation. To accompany the text, the author, a renowned expert in the field, has written a Solutions Manual/Instructor's Guide, available free of charge to lecturers who adopt this book for their courses. Introduction to Statistical Physics will appeal to students and researchers in physics, applied mathematics and statistics.

Statistical Physics

J. Honerkamp
Statistical Physics Book PDF

Author : J. Honerkamp
Publisher : Springer Science & Business Media
Page : 556 pages
File Size : 54,5 Mb
Release : 2002-06-10
Category : Mathematics
ISBN : 3540430202

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Statistical Physics by J. 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 second edition has been updated and enlarged with new material on estimators based on a probability distribution for the parameters, identification of stochastic models from observations, and statistical tests and classification methods (Chaps. 10-12). Moreover, a customized set of problems with solutions is accessible on the Web. The author teaches and conducts research on stochastic dynamical systems at the University of Freiburg, Germany.

Statistical Physics of Particles

Mehran Kardar
Statistical Physics of Particles Book PDF

Author : Mehran Kardar
Publisher : Cambridge University Press
Page : 211 pages
File Size : 54,8 Mb
Release : 2007-06-07
Category : Science
ISBN : 9781139464871

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Statistical Physics of Particles by Mehran Kardar Pdf

Statistical physics has its origins in attempts to describe the thermal properties of matter in terms of its constituent particles, and has played a fundamental role in the development of quantum mechanics. Based on lectures taught by Professor Kardar at MIT, this textbook introduces the central concepts and tools of statistical physics. It contains a chapter on probability and related issues such as the central limit theorem and information theory, and covers interacting particles, with an extensive description of the van der Waals equation and its derivation by mean field approximation. It also contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set of solutions is available to lecturers on a password protected website at www.cambridge.org/9780521873420. A companion volume, Statistical Physics of Fields, discusses non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group.

Statistical Mechanics of Disordered Systems

Anton Bovier
Statistical Mechanics of Disordered Systems Book PDF

Author : Anton Bovier
Publisher : Cambridge University Press
Page : 297 pages
File Size : 43,7 Mb
Release : 2006-06-08
Category : Mathematics
ISBN : 9780521849913

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Statistical Mechanics of Disordered Systems by Anton Bovier Pdf

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Introduction to Statistical Physics

João Paulo Casquilho,Paulo Ivo Cortez Teixeira
Introduction to Statistical Physics Book PDF

Author : João Paulo Casquilho,Paulo Ivo Cortez Teixeira
Publisher : Cambridge University Press
Page : 349 pages
File Size : 45,5 Mb
Release : 2014-12-18
Category : Science
ISBN : 9781316213995

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Introduction to Statistical Physics by João Paulo Casquilho,Paulo Ivo Cortez Teixeira Pdf

Rigorous and comprehensive, this textbook introduces undergraduate students to simulation methods in statistical physics. The book covers a number of topics, including the thermodynamics of magnetic and electric systems; the quantum-mechanical basis of magnetism; ferrimagnetism, antiferromagnetism, spin waves and magnons; liquid crystals as a non-ideal system of technological relevance; and diffusion in an external potential. It also covers hot topics such as cosmic microwave background, magnetic cooling and Bose–Einstein condensation. The book provides an elementary introduction to simulation methods through algorithms in pseudocode for random walks, the 2D Ising model, and a model liquid crystal. Any formalism is kept simple and derivations are worked out in detail to ensure the material is accessible to students from subjects other than physics.