Mathematical Methods Of Statistical Mechanics Of Model Systems
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Statistical Mechanics And The Physics Of Many Particle Model Systems
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Author : Alexander Leonidovich Kuzemsky
language : en
Publisher: World Scientific
Release Date : 2017-02-24
Statistical Mechanics And The Physics Of Many Particle Model Systems written by Alexander Leonidovich Kuzemsky and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-24 with Science categories.
The book is devoted to the study of the correlation effects in many-particle systems. It presents the advanced methods of quantum statistical mechanics (equilibrium and nonequilibrium), and shows their effectiveness and operational ability in applications to problems of quantum solid-state theory, quantum theory of magnetism and the kinetic theory. The book includes description of the fundamental concepts and techniques of analysis following the approach of N N Bogoliubov's school, including recent developments. It provides an overview that introduces the main notions of quantum many-particle physics with the emphasis on concepts and models.This book combines the features of textbook and research monograph. For many topics the aim is to start from the beginning and to guide the reader to the threshold of advanced researches. Many chapters include also additional information and discuss many complex research areas which are not often discussed in other places. The book is useful for established researchers to organize and present the advanced material disseminated in the literature. The book contains also an extensive bibliography.The book serves undergraduate, graduate and postgraduate students, as well as researchers who have had prior experience with the subject matter at a more elementary level or have used other many-particle techniques.
Equilibrium Statistical Mechanics Of Lattice Models
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Author : David A. Lavis
language : en
Publisher: Springer
Release Date : 2015-01-31
Equilibrium Statistical Mechanics Of Lattice Models written by David A. Lavis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-31 with Science categories.
Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models. Part I contains background material on classical thermodynamics and statistical mechanics, together with a classification and survey of lattice models. The geometry of phase transitions is described and scaling theory is used to introduce critical exponents and scaling laws. An introduction is given to finite-size scaling, conformal invariance and Schramm—Loewner evolution. Part II contains accounts of classical mean-field methods. The parallels between Landau expansions and catastrophe theory are discussed and Ginzburg--Landau theory is introduced. The extension of mean-field theory to higher-orders is explored using the Kikuchi--Hijmans--De Boer hierarchy of approximations. In Part III the use of algebraic, transformation and decoration methods to obtain exact system information is considered. This is followed by an account of the use of transfer matrices for the location of incipient phase transitions in one-dimensionally infinite models and for exact solutions for two-dimensionally infinite systems. The latter is applied to a general analysis of eight-vertex models yielding as special cases the two-dimensional Ising model and the six-vertex model. The treatment of exact results ends with a discussion of dimer models. In Part IV series methods and real-space renormalization group transformations are discussed. The use of the De Neef—Enting finite-lattice method is described in detail and applied to the derivation of series for a number of model systems, in particular for the Potts model. The use of Pad\'e, differential and algebraic approximants to locate and analyze second- and first-order transitions is described. The realization of the ideas of scaling theory by the renormalization group is presented together with treatments of various approximation schemes including phenomenological renormalization. Part V of the book contains a collection of mathematical appendices intended to minimise the need to refer to other mathematical sources.
Statistical Mechanics Of Lattice Systems
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Author : Sacha Friedli
language : en
Publisher: Cambridge University Press
Release Date : 2017-11-23
Statistical Mechanics Of Lattice Systems written by Sacha Friedli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-23 with Mathematics categories.
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Statistical Mechanics Of Disordered Systems
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Author : Anton Bovier
language : en
Publisher: Cambridge University Press
Release Date : 2006-06-08
Statistical Mechanics Of Disordered Systems written by Anton Bovier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-08 with Mathematics categories.
Publisher Description
Mathematical Methods Of Statistical Mechanics Of Model Systems
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Author : Nikolaĭ Nikolaevich Bogoli︠u︡bov
language : en
Publisher:
Release Date : 1994
Mathematical Methods Of Statistical Mechanics Of Model Systems written by Nikolaĭ Nikolaevich Bogoli︠u︡bov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
Exactly Solved Models In Statistical Mechanics
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Author : Rodney J. Baxter
language : en
Publisher: Courier Corporation
Release Date : 2007-01-01
Exactly Solved Models In Statistical Mechanics written by Rodney J. Baxter and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Science categories.
Exploration of two-dimensional lattice models examines basic statistical mechanics, Ising models, spherical models, ice-type models, corner transfer matrices, and elliptic functions. 1982 edition, with author's 2007 update on subsequent developments.
Topics In Statistical Mechanics Second Edition
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Author : Brian Cowan
language : en
Publisher: World Scientific
Release Date : 2021-07-23
Topics In Statistical Mechanics Second Edition written by Brian Cowan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-23 with Science categories.
Building on the material learned by students in their first few years of study, Topics in Statistical Mechanics (Second Edition) presents an advanced level course on statistical and thermal physics. It begins with a review of the formal structure of statistical mechanics and thermodynamics considered from a unified viewpoint. There is a brief revision of non-interacting systems, including quantum gases and a discussion of negative temperatures. Following this, emphasis is on interacting systems. First, weakly interacting systems are considered, where the interest is in seeing how small interactions cause small deviations from the non-interacting case. Second, systems are examined where interactions lead to drastic changes, namely phase transitions. A number of specific examples is given, and these are unified within the Landau theory of phase transitions. The final chapter of the book looks at non-equilibrium systems, in particular the way they evolve towards equilibrium. This is framed within the context of linear response theory. Here fluctuations play a vital role, as is formalised in the fluctuation-dissipation theorem.The second edition has been revised particularly to help students use this book for self-study. In addition, the section on non-ideal gases has been expanded, with a treatment of the hard-sphere gas, and an accessible discussion of interacting quantum gases. In many cases there are details of Mathematica calculations, including Mathematica Notebooks, and expression of some results in terms of Special Functions.
Mathematical And Statistical Methods In Reliability
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Author : Bo Lindqvist
language : en
Publisher: World Scientific
Release Date : 2003
Mathematical And Statistical Methods In Reliability written by Bo Lindqvist and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This book contains extended versions of carefully selected and reviewed papers presented at the Third International Conference on Mathematical Methods in Reliability, held in Norway in 2002. It provides an overview of current research activities in reliability theory. The authors are all leading experts in the field. Readership: Graduate students, academics and professionals in probability & statistics, reliability analysis, survival analysis, industrial engineering, software engineering, operations research and applied mathematics research.
Mathematical Statistical Mechanics
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Author : Colin J. Thompson
language : en
Publisher: Princeton University Press
Release Date : 2015-03-08
Mathematical Statistical Mechanics written by Colin J. Thompson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-08 with Science categories.
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.
Tudes On Theoretical Physics
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Author : Leonid M. Barkovsky
language : en
Publisher: World Scientific
Release Date : 2004
Tudes On Theoretical Physics written by Leonid M. Barkovsky and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
This volume presents the results of many decades of research carried out by the Department of Theoretical Physics of the Belarusian State University, one of former USSR's prominent universities, providing a “snapshot” of the research activities of the department. With contributions form leading researchers who graduated from the department and now working in well known research centers around the world, this collection of works consists of selected mini-reviews of a wide variety of research topics on modern theoretical physics. It includes information on the methods and applications used in the various different research topics.This volume will be useful for advanced graduate students and doctorates who specialize in theoretical physics as well as researchers who would like to get concise information on the methods and applications of modern theoretical physics.The proceedings have been selected for coverage in: • CC / Physical, Chemical& Earth Sciences• Index to Scientific Book Contents® (ISBC®)