Introduction To Mathematical Statistical Physics

Author : Robert Adolʹfovich Minlos
Publisher : American Mathematical Soc.
ISBN 13 : 0821813374
Total Pages : 114 pages
Book Rating : 4.79/5 ( download)

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Download or read book Introduction to Mathematical Statistical Physics written by Robert Adolʹfovich Minlos and published by American Mathematical Soc.. This book was released on 2000 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Sacha Friedli
Publisher : Cambridge University Press
ISBN 13 : 1107184827
Total Pages : 643 pages
Book Rating : 4.24/5 ( download)

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Download or read book Statistical Mechanics of Lattice Systems written by Sacha Friedli and published by Cambridge University Press. This book was released on 2017-11-23 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.

Author : D. K. C. MacDonald
Publisher : Courier Corporation
ISBN 13 : 0486453235
Total Pages : 196 pages
Book Rating : 4.31/5 ( download)

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Download or read book Introductory Statistical Mechanics for Physicists written by D. K. C. MacDonald and published by Courier Corporation. This book was released on 2006-01-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Colin J. Thompson
Publisher : Princeton University Press
ISBN 13 : 1400868688
Total Pages : 289 pages
Book Rating : 4.81/5 ( download)

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Download or read book Mathematical Statistical Mechanics written by Colin J. Thompson and published by Princeton University Press. This book was released on 2015-03-08 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Aleksandr I?Akovlevich Khinchin
Publisher : Courier Corporation
ISBN 13 : 9780486601472
Total Pages : 212 pages
Book Rating : 4.71/5 ( download)

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Download or read book Mathematical Foundations of Statistical Mechanics written by Aleksandr I?Akovlevich Khinchin and published by Courier Corporation. This book was released on 1949-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Daijiro Yoshioka
Publisher : Springer Science & Business Media
ISBN 13 : 3540286063
Total Pages : 206 pages
Book Rating : 4.66/5 ( download)

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Download or read book Statistical Physics written by Daijiro Yoshioka and published by Springer Science & Business Media. This book was released on 2007-05-30 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Silvio Salinas
Publisher : Springer Science & Business Media
ISBN 13 : 9780387951195
Total Pages : 400 pages
Book Rating : 4.99/5 ( download)

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Download or read book Introduction to Statistical Physics written by Silvio Salinas and published by Springer Science & Business Media. This book was released on 2001-02-08 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author :
Publisher : Elsevier
ISBN 13 : 0080479235
Total Pages : 849 pages
Book Rating : 4.31/5 ( download)

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Download or read book Mathematical Statistical Physics written by and published by Elsevier. This book was released on 2006-06-27 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Terrell L. Hill
Publisher : Courier Corporation
ISBN 13 : 0486130908
Total Pages : 544 pages
Book Rating : 4.03/5 ( download)

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Download or read book An Introduction to Statistical Thermodynamics written by Terrell L. Hill and published by Courier Corporation. This book was released on 2012-06-08 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Four-part treatment covers principles of quantum statistical mechanics, systems composed of independent molecules or other independent subsystems, and systems of interacting molecules, concluding with a consideration of quantum statistics.

Author : Marek Biskup
Publisher : Springer Science & Business Media
ISBN 13 : 3540927956
Total Pages : 356 pages
Book Rating : 4.52/5 ( download)

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Download or read book Methods of Contemporary Mathematical Statistical Physics written by Marek Biskup and published by Springer Science & Business Media. This book was released on 2009-03-25 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.