Muutke küpsiste eelistusi

Nonequilibrium Phase Transitions in Lattice Models [Kõva köide]

(Universidad de Granada), (City University of New York)
Teised raamatud teemal:
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This book provides an introduction to nonequilibrium statistical physics via lattice models. Beginning with an introduction to the basic driven lattice gas, the early chapters discuss the relevance of this lattice model to certain natural phenomena and examine simulation results in detail. Several possible theoretical approaches to the driven lattice gas are presented. In the next two chapters, absorbing-state transitions are discussed in detail. The later chapters examine a variety of systems subject to dynamic disorder before returning to look at the more surprising effects of multiparticle rules, nonunique absorbing-states and conservation laws. Examples are given throughout the book, the emphasis being on using simple representations of nature to describe ordering in real systems. The use of methods such as mean-field theory, Monte Carlo simulation, and the concept of universality to study and interpret these models is described. Detailed references are included.

Arvustused

'This text provides an excellent introduction to an important and growing area of research can be recommended to anyone wishing to acquaint themselves with this fascinating field of research.' D. A. Lavis, Contemporary Physics

Muu info

An introduction to nonequilibrium statistical physics via lattice models; for researchers.
Preface xiii
Introduction
1(11)
Two simple examples
3(4)
Perspective
7(4)
Overview
11(1)
Driven lattice gases: simulations
12(49)
The basic system
13(2)
Models of natural phenomena
15(4)
Monte Carlo simulations
19(16)
Quasi two-dimensional conduction
35(9)
Correlations
44(6)
Critical and scaling properties
50(11)
Driven lattice gases: theory
61(39)
Macroscopic evolution
62(3)
One-dimensional conduction
65(8)
Hydrodynamics in one dimension
73(2)
Conduction in two dimensions
75(9)
Arbitrary values of the field
84(8)
Stability of the homogeneous phase
92(1)
The layered system
92(8)
Lattice gases with reaction
100(41)
Macroscopic reaction-diffusion equations
101(2)
The microscopic model
103(3)
Transition to hydrodynamics
106(5)
Nonequilibrium macroscopic states
111(9)
Simulation results
120(6)
Kinetic cluster theory
126(11)
Summary of static properties
137(4)
Catalysis models
141(20)
The Ziff-Gulari-Barshad model
141(2)
The phase diagram
143(5)
Kinetic mean-field theory
148(3)
Simulation methods
151(7)
Critical behavior
158(3)
The contact process
161(28)
The model
161(1)
The phase diagram
162(5)
Time-dependent behavior
167(2)
Scaling theory
169(2)
Finite-size scaling
171(4)
Directed percolation
175(3)
Generalized contact processes
178(4)
Effects of disorder
182(3)
Operator methods
185(4)
Models of disorder
189(49)
Diffusion of microscopic disorder
190(6)
Generalized conflicting dynamics
196(3)
Action of external agents
199(6)
Elementary transition rates
205(3)
Effective Hamiltonian
208(3)
Thermodynamics in one dimension
211(14)
Comparison with related systems
225(3)
Lattices of arbitrary dimension
228(10)
Conflicting dynamics
238(39)
Impure systems with diffusion
239(6)
Impure ordering for d ≥1
245(11)
Spreading of opinion
256(8)
Kinetic ANNNI models
264(8)
Proton glasses and neural noise
272(2)
Interpreting thermal baths
274(3)
Particle reaction models
277(24)
Multiparticle rules and diffusion
277(3)
First-order transitions
280(4)
Multiple absorbing configurations: statics
284(5)
Multiple absorbing configurations: spreading dynamics
289(5)
Branching annihilating random walks
294(5)
Cyclic models
299(2)
References 301(20)
Index 321