Author : Fa Yueh Wu
Publisher : World Scientific
Page : 661 pages
File Size : 27,49 MB
Release : 2009
Category : Science
ISBN : 9812813888
Organized into topics ranging from lattice models in condensed matter physics to graph theory in mathematics. This title presents an overview of each of the topics and a look at how crucial developments emerged.
Author : Fa Yueh Wu
Publisher : World Scientific
Page : 661 pages
File Size : 27,65 MB
Release : 2009-03-03
Category : Science
ISBN : 9814471224
This unique volume provides a comprehensive overview of exactly solved models in statistical mechanics by looking at the scientific achievements of F Y Wu in this and related fields, which span four decades of his career. The book is organized into topics ranging from lattice models in condensed matter physics to graph theory in mathematics, and includes the author's pioneering contributions. Through insightful commentaries, the author presents an overview of each of the topics and an insider's look at how crucial developments emerged. With the inclusion of important pedagogical review articles by the author, Exactly Solved Models is an indispensable learning tool for graduate students, and an essential reference and source book for researchers in physics and mathematics as well as historians of science.
Author : Rodney J. Baxter
Publisher : Elsevier
Page : 499 pages
File Size : 47,66 MB
Release : 2016-06-12
Category : Science
ISBN : 1483265943
Exactly Solved Models in Statistical Mechanics
Author : Utkir A Rozikov
Publisher : World Scientific
Page : 367 pages
File Size : 38,94 MB
Release : 2022-07-28
Category : Mathematics
ISBN : 9811251258
This book presents recently obtained mathematical results on Gibbs measures of the q-state Potts model on the integer lattice and on Cayley trees. It also illustrates many applications of the Potts model to real-world situations in biology, physics, financial engineering, medicine, and sociology, as well as in some examples of alloy behavior, cell sorting, flocking birds, flowing foams, and image segmentation.Gibbs measure is one of the important measures in various problems of probability theory and statistical mechanics. It is a measure associated with the Hamiltonian of a biological or physical system. Each Gibbs measure gives a state of the system.The main problem for a given Hamiltonian on a countable lattice is to describe all of its possible Gibbs measures. The existence of some values of parameters at which the uniqueness of Gibbs measure switches to non-uniqueness is interpreted as a phase transition.This book informs the reader about what has been (mathematically) done in the theory of Gibbs measures of the Potts model and the numerous applications of the Potts model. The main aim is to facilitate the readers (in mathematical biology, statistical physics, applied mathematics, probability and measure theory) to progress into an in-depth understanding by giving a systematic review of the theory of Gibbs measures of the Potts model and its applications.
Author : Hunter, Maureen
Publisher : OIBooks-Libros
Page : 944 pages
File Size : 12,75 MB
Release : 2003
Category : Drama
ISBN : 1896239994
Book is clean and tight. No writing in text. Like New
Author : David P. Landau
Publisher : Cambridge University Press
Page : 402 pages
File Size : 14,18 MB
Release : 2000-08-17
Category : Mathematics
ISBN : 9780521653664
This book describes all aspects of Monte Carlo simulation of complex physical systems encountered in condensed-matter physics and statistical mechanics, as well as in related fields, such as polymer science and lattice gauge theory. The authors give a succinct overview of simple sampling methods and develop the importance sampling method. In addition they introduce quantum Monte Carlo methods, aspects of simulations of growth phenomena and other systems far from equilibrium, and the Monte Carlo Renormalization Group approach to critical phenomena. The book includes many applications, examples, and current references, and exercises to help the reader.
Author : Claude E Shannon
Publisher : University of Illinois Press
Page : 141 pages
File Size : 48,9 MB
Release : 1998-09-01
Category : Language Arts & Disciplines
ISBN : 025209803X
Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.
Author : Steven H. Strogatz
Publisher : CRC Press
Page : 532 pages
File Size : 41,98 MB
Release : 2018-05-04
Category : Mathematics
ISBN : 0429961111
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author : Shanggeng Ma
Publisher :
Page : 600 pages
File Size : 20,30 MB
Release : 1976
Category : Critical phenomena (Physics)
ISBN :
Author : Bruce Berne
Publisher : Springer
Page : 242 pages
File Size : 48,21 MB
Release : 2012-05-06
Category : Science
ISBN : 9781468425550
The last decade has been marked by a rapid growth in statistical mechanics, especially in connection with the physics and chemistry of the fluid state. Our understanding in these areas has been considerably advanced and enriched by the discovery of new techniques and the sharpening of old techniques, ranging all the way from computer simulation to mode-mode coupling theories. Statistical mechanics brings together under one roof a broad spectrum of mathematical techniques. The aim of these volumes is to provide a didactic treatment of those techniques that are most useful for the study of problems of current interest to theoretical chemists. The emphasis throughout is on the techniques themselves and not on reviewing the enormous literature in statistical mechanics. Each author was charged with the following task. Given N pages, (a) pose the problem, (b) present those aspects of the particular technique that clearly illustrate its internal workings, (c) apply the technique to the solution of several illustrative examples, and (d) write the chapter so that it will enable the reader to approach key citations to the literature intelligently. These volumes are designed for graduate students and research workers in statistical mechanics. Nevertheless, because of the range of techniques and their general utility, they should be useful in other areas as well.
