Introduction To Mathematical Statistical Physics
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Introduction To Mathematical Statistical Physics
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Author : Robert Adolʹfovich Minlos
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Introduction To Mathematical Statistical Physics written by Robert Adolʹfovich Minlos and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
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.
Introduction To Mathematical Statistical Physics
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Author : Robert Adolʹfovich Minlos
language : en
Publisher:
Release Date : 1999
Introduction To Mathematical Statistical Physics written by Robert Adolʹfovich Minlos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Statistical physics categories.
This book presents a mathematically rigorous approach to the main ideas and phenomena of statistical physics. The introduction addresses the physical motivation, focussing on the basic concept of modern statistical physics, that is the notion of Gibbsian random fields. Properties of Gibbsian fields are analyzed 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.
Mathematical Statistical Physics
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Author :
language : en
Publisher: Elsevier
Release Date : 2006-06-27
Mathematical Statistical Physics written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-27 with Science categories.
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
Statistical Physics
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Author : Daijiro Yoshioka
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-03
Statistical Physics written by Daijiro Yoshioka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-03 with Science categories.
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.
Lectures On Mathematical Statistical Mechanics
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Author : Stefan Adams
language : en
Publisher:
Release Date : 2006
Lectures On Mathematical Statistical Mechanics written by Stefan Adams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Statistical mechanics categories.
Methods Of Contemporary Mathematical Statistical Physics
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Author : Marek Biskup
language : en
Publisher: Springer
Release Date : 2009-07-31
Methods Of Contemporary Mathematical Statistical Physics written by Marek Biskup and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-31 with Mathematics categories.
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. It presents new results on phase transitions for gradient lattice models.
Mathematical Statistical Physics
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Author :
language : en
Publisher: Elsevier Science
Release Date : 2006-09-07
Mathematical Statistical Physics written by and has been published by Elsevier Science this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-07 with Science categories.
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
Mathematical Physics Ii Classical Statistical Mechanics
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Author : Matteo Petrera
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2014
Mathematical Physics Ii Classical Statistical Mechanics written by Matteo Petrera and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.
These Lecture Notes provide an introduction to classical statistical mechanics. The first part presents classical results, mainly due to L. Boltzmann and J.W. Gibbs, about equilibrium statistical mechanics of continuous systems. Among the topics covered are: kinetic theory of gases, ergodic problem, Gibbsian formalism, derivation of thermodynamics, phase transitions and thermodynamic limit. The second part is devoted to an introduction to the study of classical spin systems with special emphasis on the Ising model. The material is presented in a way that is at once intuitive, systematic and mathematically rigorous. The theoretical part is supplemented with concrete examples and exercises.
Oxford Users Guide To Mathematics
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Author : Eberhard Zeidler
language : en
Publisher: Oxford University Press, USA
Release Date : 2004-08-19
Oxford Users Guide To Mathematics written by Eberhard Zeidler and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-19 with Business & Economics categories.
The Oxford Users' Guide to Mathematics is one of the leading handbooks on mathematics available. It presents a comprehensive modern picture of mathematics and emphasises the relations between the different branches of mathematics, and the applications of mathematics in engineering and the natural sciences. The Oxford User's Guide covers a broad spectrum of mathematics starting with the basic material and progressing on to more advanced topics that have come to the fore in the last few decades. The book is organised into mathematical sub-disciplines including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimisation, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. The book is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics. It also includes a comprehensive bibliography of key contemporary literature as well as an extensive glossary and index. The wealth of material, reaching across all levels and numerous sub-disciplines, makes The Oxford User's Guide to Mathematics an invaluable reference source for students of engineering, mathematics, computer science, and the natural sciences, as well as teachers, practitioners, and researchers in industry and academia.
Statistical Physics
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Author : Torsten Fließbach
language : en
Publisher: BoD – Books on Demand
Release Date : 2025-04-23
Statistical Physics written by Torsten Fließbach and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-23 with Science categories.
The central question of Statistical Physics is how macroscopic observables can be deduced from the microscopic structure. The answer is illuminated by the formulas on the front cover of the book: The partition functions on the right-hand sides (like Z) are defined microscopically. The left-hand sides display the respective macroscopic equilibrium observables (like the entropy S or the free energy F). The first equation is the most famous one: In the form S = k log W it is depicted on Boltzmann's tombstone. Some major topics of the book are: -- Introduction to mathematical statistics including law of large numbers and central limit theorem. -- Fundamentals of Statistical Physics -- Thermodynamics and state variables -- Statistical ensembles -- Evaluation of a partition function for special systems: Spin systems, classical systems (real and ideal gases), quantum gases (He4, photons, phonons) -- Phase transitions, Landau theory and critical exponents -- Kinetic gas model: Transport coefficients