Krauth W. Statistical Mechanics: Algoritms and Computations

Oxford University Press, 2011. - 432 pages. Many results of modern physics - those of quantum mechanics, for instance - come in a probabilistic guise. But what do probabilistic statements in physics mean? Are probabilities matters of objective fact and part of the furniture of the world, as objectivists think? Or do they only express ignorance or belief, as Bayesians suggest? And how are probabilistic hypotheses justified and supported by empir...

Cambridge University Press, 1998, 341 p. This book provides an introduction to cellular automata and lattice Boltzmann techniques. It begins with a chapter introducing the basic concepts of this developing field; a second chapter describes methods used in cellular automata modeling. Following chapters discuss the statistical mechanics of lattice gases, diffusion phenomena, reaction-diffusion processes and nonequilibrium phase transitions. A final...

Cambridge University Press, 2003. - 555 Pages. This text is designed for an intermediate-level, two-semester undergraduate course in mathematical physics. It provides an accessible account of most of the current, important mathematical tools required in physics. The book bridges the gap between an introductory physics course and more advanced courses in classical mechanics, electricity and magnetism, quantum mechanics, and thermal and statistica...

Springer-Verlag, Berlin, 2008, 624 pages The interaction between mathematics and mechanics is a never ending source of new developments. This present textbook includes a wide –ranging spectrum of topics from the three body problem and gyroscope theory to bifurcation theory, optimization, control and continuum mechanics of elastic bodies and fluids. For each of the covered topics the reader can practice mathematical experiments by using a large...

Series "Studies in Modern Thermodynamics", 1991, Elsevier Science Publisher, Amsterdam, 1991, 324 pp. The fundamental goal of Statistical Mechanics is to link the detailed determinism of many-body microscopic dynamics to the phenomenological averaged description of macroscopic behavior. During my own 30-year study of statistical mechanics computers have completely transformed the field, substantially widening the scope of this goal by making it p...

Series Lecture Notes in Physics, Springer-Verlag, Berlin Heidelberg New York, 1986, 145 pp. - ISBN 3-540-16789-7 These notes cover a series of lectures delivered to graduate students and faculty at the University of Vienna during the summer semester in 1985. The lectures summarized the current state of what is now a world-wide activity, molecular dynamics simulations. Contents Historical Development and Scope - Newton's Mechanics. Lagrange's Me...

Princeton University Press, Princeton and Oxford, 2008, 698 pp. In the decade since two of us wrote the book Computational Physics, we have seen a good number of computational physics texts and courses come into existence. This is good. Multiple texts help define a still-developing field and provide a choice of viewpoints and focus. After perusing the existing texts, we decided that the most worthwhile contribution we could make was to extend our...

Princeton University Press, Princeton and Oxford, 2008, 698 pp. In the decade since two of us wrote the book Computational Physics, we have seen a good number of computational physics texts and courses come into existence. This is good. Multiple texts help define a still-developing field and provide a choice of viewpoints and focus. After perusing the existing texts, we decided that the most worthwhile contribution we could make was to extend our...

Wiley-VCH, 2009. - 538 pages. All there is to know about functional analysis, integral equations and calculus of variations in one handy volume, written for the specific needs of physicists and applied mathematicians. The new edition of this handbook starts with a short introduction to functional analysis, including a review of complex analysis, before continuing a systematic discussion of different types of integral equations. After a few rema...

Oxford University Press, Oxford, New York, 2001, 494 pp. - ISBN 0-19-851796-3. Эта книга предназначена для тех, кто интересуется применением метода Монте-Карло в классической статистической механике. Она будет полезной в курсах «методы моделирования», «статистическая физика». Книга, также может использоваться для самообразования студентами и опытными исследователями, которые хотят узнать больше о методе Монте-Карло и некоторых новых современные м...