Book Description
Exactly Solved Models in Statistical Mechanics
Author : Rodney J. Baxter
Publisher : Elsevier
Page : 499 pages
File Size : 18,59 MB
Release : 2016-06-12
Category : Science
ISBN : 1483265943
Exactly Solved Models in Statistical Mechanics
Author : Valia Allori
Publisher : World Scientific
Page : 698 pages
File Size : 10,77 MB
Release : 2020-04-22
Category : Science
ISBN : 9811211736
The book explores several open questions in the philosophy and the foundations of statistical mechanics. Each chapter is written by a leading expert in philosophy of physics and/or mathematical physics. Here is a list of questions that are addressed in the book:
Author : Robert H. Swendsen
Publisher : Oxford University Press
Page : 422 pages
File Size : 34,93 MB
Release : 2012-03
Category : Mathematics
ISBN : 0199646945
This text presents statistical mechanics and thermodynamics as a theoretically integrated field of study. It stresses deep coverage of fundamentals, providing a natural foundation for advanced topics. The large problem sets (with solutions for teachers) include many computational problems to advance student understanding.
Author :
Publisher : Elsevier
Page : 235 pages
File Size : 36,12 MB
Release : 1995-07-24
Category : Science
ISBN : 0080538746
Far-from-equilibrium phenomena, while abundant in nature, are not nearly as well understood as their equilibrium counterparts. On the theoretical side, progress is slowed by the lack of a simple framework, such as the Boltzmann-Gbbs paradigm in the case of equilibrium thermodynamics. On the experimental side, the enormous structural complexity of real systems poses serious obstacles to comprehension.Similar difficulties have been overcome in equilibrium statistical mechanics by focusing on model systems. Even if they seem too simplistic for known physical systems, models give us considerable insight, provided they capture the essential physics. They serve as important theoretical testing grounds where the relationship between the generic physical behavior and the key ingredients of a successful theory can be identified and understood in detail.Within the vast realm of non-equilibrium physics, driven diffusive systems form a subset with particularly interesting properties. As a prototype model for these systems, the driven lattice gas was introduced roughly a decade ago. Since then, a number of surprising phenomena have been discovered including singular correlations at generic temperatures, as well as novel phase transitions, universality classes, and interfacial instabilities. This book summarizes current knowledge on driven systems, from apedagogical discussion of the original driven lattice gas to a brief survey of related models. Given that the topic is far from closed, much emphasis is placed on detailing open questions and unsolved problems as an incentive for the reader to pursue thesubject further.Provides a summary of current knowledge on driven diffusive systemsEmphasis is placed on detailing open questions and unsolved problemsCovers the entire subject from original driven lattice gas to a survey of related models
Author : David Ruelle
Publisher :
Page : 219 pages
File Size : 38,10 MB
Release : 1974
Category : Statistical mechanics
ISBN : 9780805383591
Author : Denis J. Evans
Publisher : ANU E Press
Page : 318 pages
File Size : 30,71 MB
Release : 2007-08-01
Category : Science
ISBN : 1921313234
"There is a symbiotic relationship between theoretical nonequilibrium statistical mechanics on the one hand and the theory and practice of computer simulation on the other. Sometimes, the initiative for progress has been with the pragmatic requirements of computer simulation and at other times, the initiative has been with the fundamental theory of nonequilibrium processes. This book summarises progress in this field up to 1990"--Publisher's description.
Author : K.-H. Hoffmann
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 22,26 MB
Release : 2013-03-14
Category : Science
ISBN : 3662048043
In recent years statistical physics has made significant progress as a result of advances in numerical techniques. While good textbooks exist on the general aspects of statistical physics, the numerical methods and the new developments based on large-scale computing are not usually adequately presented. In this book 16 experts describe the application of methods of statistical physics to various areas in physics such as disordered materials, quasicrystals, semiconductors, and also to other areas beyond physics, such as financial markets, game theory, evolution, and traffic planning, in which statistical physics has recently become significant. In this way the universality of the underlying concepts and methods such as fractals, random matrix theory, time series, neural networks, evolutionary algorithms, becomes clear. The topics are covered by introductory, tutorial presentations.
Author : FRITZ
Publisher : Springer Science & Business Media
Page : 489 pages
File Size : 13,55 MB
Release : 2013-11-22
Category : Science
ISBN : 1489966536
Author : Horacio S. Wio
Publisher : World Scientific Publishing Company Incorporated
Page : 217 pages
File Size : 21,56 MB
Release : 1994-01-01
Category : Science
ISBN : 9789810215712
Author : Jian-sheng Wang
Publisher : World Scientific
Page : 225 pages
File Size : 29,9 MB
Release : 2021-11-03
Category : Science
ISBN : 981124216X
This short textbook covers roughly 13 weeks of lectures on advanced statistical mechanics at the graduate level. It starts with an elementary introduction to the theory of ensembles from classical mechanics, and then goes on to quantum statistical mechanics with density matrix. These topics are covered concisely and briefly. The advanced topics cover the mean-field theory for phase transitions, the Ising models and their exact solutions, and critical phenomena and their scaling theory. The mean-field theories are discussed thoroughly with several different perspectives — focusing on a single degree, or using Feynman-Jensen-Bogoliubov inequality, cavity method, or Landau theory. The renormalization group theory is mentioned only briefly. As examples of computational and numerical approach, there is a chapter on Monte Carlo method including the cluster algorithms. The second half of the book studies nonequilibrium statistical mechanics, which includes the Brownian motion, the Langevin and Fokker-Planck equations, Boltzmann equation, linear response theory, and the Jarzynski equality. The book ends with a brief discussion of irreversibility. The topics are supplemented by problem sets (with partial answers) and supplementary readings up to the current research, such as heat transport with a Fokker-Planck approach.