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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, examining simulation results in detail. Later chapters discuss absorbing-state transitions, and examine a variety of systems subject to dynamic disorder. The book discusses the effects of multiparticle rules, nonunique absorbing-states and conservation laws, as well as the use of methods such as mean-field theory, Monte Carlo simulation and the concept of universality. It also includes detailed references and examples using simple respresentations of nature to describe real systems.
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.
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