Author: Norio Konno
Publisher: World Scientific
ISBN: 9814501182
Category : Mathematics
Languages : en
Pages : 245
Book Description
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'.
Phase Transitions Of Interacting Particle Systems
Author: Norio Konno
Publisher: World Scientific
ISBN: 9814501182
Category : Mathematics
Languages : en
Pages : 245
Book Description
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'.
Publisher: World Scientific
ISBN: 9814501182
Category : Mathematics
Languages : en
Pages : 245
Book Description
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'.
Topics in Spatial and Dynamical Phase Transitions of Interacting Particle Systems
Author: Ricardo Restrepo Lopez
Publisher:
ISBN:
Category : Approximation algorithms
Languages : en
Pages :
Book Description
In this work we provide several improvements in the study of phase transitions : of interacting particle systems.
Publisher:
ISBN:
Category : Approximation algorithms
Languages : en
Pages :
Book Description
In this work we provide several improvements in the study of phase transitions : of interacting particle systems.
Interacting Particle Systems
Author: T.M. Liggett
Publisher: Springer Science & Business Media
ISBN: 1461385423
Category : Science
Languages : en
Pages : 499
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 1461385423
Category : Science
Languages : en
Pages : 499
Book Description
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.
Two types of phase transitions in an interacting particle systems for collective migration
Author: Tobias Klauß
Publisher:
ISBN:
Category :
Languages : de
Pages : 42
Book Description
Publisher:
ISBN:
Category :
Languages : de
Pages : 42
Book Description
Computer Simulations and Analytical Studies of Non-Equilibrium Phase Transitions in Interacting Particle Systems with Absorbing States
Author: Iwan Jensen
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Particle Systems, Random Media and Large Deviations
Author: Richard Durrett
Publisher: American Mathematical Soc.
ISBN: 0821850423
Category : Mathematics
Languages : en
Pages : 394
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 0821850423
Category : Mathematics
Languages : en
Pages : 394
Book Description
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.
Dynamic Phase Transitions in Biased Ensembles of Particle Systems with Repulsive Interactions
Author: Ian Thompson
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Probability and Phase Transition
Author: G.R. Grimmett
Publisher: Springer Science & Business Media
ISBN: 9401583269
Category : Science
Languages : en
Pages : 334
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 9401583269
Category : Science
Languages : en
Pages : 334
Book Description
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.
Dynamic Phase Transitions in Biased Ensembles of Particle Systems with Repulsive Interactions
Author: Ian Richard Thompson
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
From Markov Chains to Non-equilibrium Particle Systems
Author: Mufa Chen
Publisher: World Scientific
ISBN: 9812388117
Category : Mathematics
Languages : en
Pages : 610
Book Description
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.
Publisher: World Scientific
ISBN: 9812388117
Category : Mathematics
Languages : en
Pages : 610
Book Description
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.