Phase Transitions Of Interacting Particle Systems
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Author | : Norio Konno |
Publisher | : World Scientific |
Total Pages | : 245 |
Release | : 1995-01-16 |
Genre | : Mathematics |
ISBN | : 9814501182 |
Recently, interacting particle systems have been studied widely from the standpoints of mathematics, physics, chemistry and biology. Many researchers are becoming interested in this field.This book focuses on the phase transitions of interacting particle systems, especially their critical values and order parameters. It poses the following question: How can we get good bounds on the critical values and the order parameters? This question is very basic, and many researchers have been trying to get better bounds rigorously. Hence the book provides bounds — both the author's and others'.
Author | : Ricardo Restrepo Lopez |
Publisher | : |
Total Pages | : |
Release | : 2011 |
Genre | : Approximation algorithms |
ISBN | : |
In this work we provide several improvements in the study of phase transitions : of interacting particle systems.
Author | : T.M. Liggett |
Publisher | : Springer Science & Business Media |
Total Pages | : 499 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461385423 |
At what point in the development of a new field should a book be written about it? This question is seldom easy to answer. In the case of interacting particle systems, important progress continues to be made at a substantial pace. A number of problems which are nearly as old as the subject itself remain open, and new problem areas continue to arise and develop. Thus one might argue that the time is not yet ripe for a book on this subject. On the other hand, this field is now about fifteen years old. Many important of several basic models is problems have been solved and the analysis almost complete. The papers written on this subject number in the hundreds. It has become increasingly difficult for newcomers to master the proliferating literature, and for workers in allied areas to make effective use of it. Thus I have concluded that this is an appropriate time to pause and take stock of the progress made to date. It is my hope that this book will not only provide a useful account of much of this progress, but that it will also help stimulate the future vigorous development of this field.
Author | : Tobias Klauß |
Publisher | : |
Total Pages | : 42 |
Release | : 2009 |
Genre | : |
ISBN | : |
Author | : Iwan Jensen |
Publisher | : |
Total Pages | : |
Release | : 1992 |
Genre | : |
ISBN | : |
Author | : Richard Durrett |
Publisher | : American Mathematical Soc. |
Total Pages | : 394 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 0821850423 |
Covers the proceedings of the 1984 AMS Summer Research Conference. This work provides a summary of results from some of the areas in probability theory; interacting particle systems, percolation, random media (bulk properties and hydrodynamics), the Ising model and large deviations.
Author | : Ian Thompson |
Publisher | : |
Total Pages | : |
Release | : 2015 |
Genre | : |
ISBN | : |
Author | : G.R. Grimmett |
Publisher | : Springer Science & Business Media |
Total Pages | : 334 |
Release | : 2013-04-17 |
Genre | : Science |
ISBN | : 9401583269 |
This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.
Author | : Ian Richard Thompson |
Publisher | : |
Total Pages | : 0 |
Release | : 2015 |
Genre | : |
ISBN | : |
Author | : Mufa Chen |
Publisher | : World Scientific |
Total Pages | : 610 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9812388117 |
This book is representative of the work of Chinese probabilists on probability theory and its applications in physics. It presents a unique treatment of general Markov jump processes: uniqueness, various types of ergodicity, Markovian couplings, reversibility, spectral gap, etc. It also deals with a typical class of non-equilibrium particle systems, including the typical Schlögl model taken from statistical physics. The constructions, ergodicity and phase transitions for this class of Markov interacting particle systems, namely, reaction-diffusion processes, are presented. In this new edition, a large part of the text has been updated and two-and-a-half chapters have been rewritten. The book is self-contained and can be used in a course on stochastic processes for graduate students.