Nonequilibrium dynamics in low-dimensional systems

M R  Evans; Richard Blythe

doi:10.1016/S0378-4371(02)01035-X

Nonequilibrium dynamics in low-dimensional systems

M R Evans, Richard Blythe

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

In these lectures we give an over-view of nonequilibrium stochastic systems. In particular we discuss in detail two models, the asymmetric exclusion process and a ballistic reaction model, that illustrate many general features of nonequilibrium dynamics: for example coarsening dynamics and nonequilibrium phase transitions, As a secondary theme we shall show how a common mathematical structure, the q-deformed harmonic oscillator algebra, serves to furnish exact results for both systems. Thus the lectures also serve as a gentle introduction to things q-deformed, (C) 2002 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	110-152
Number of pages	43
Journal	Physica a-Statistical mechanics and its applications
Volume	313
Issue number	1-2
DOIs	https://doi.org/10.1016/S0378-4371(02)01035-X
Publication status	Published - 1 Oct 2002

Keywords / Materials (for Non-textual outputs)

nonequilibrium dynamics
stochastic processes
phase transition
asymmetric exclusion process
reaction kinetics
SIMPLE EXCLUSION PROCESS
DRIVEN DIFFUSIVE SYSTEMS
SPONTANEOUS SYMMETRY-BREAKING
OPEN BOUNDARIES
PHASE-TRANSITIONS
BALLISTIC ANNIHILATION
ZERO-TEMPERATURE
DEFECT PARTICLE
LATTICE GASES
MODEL

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10.1016/S0378-4371(02)01035-X

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title = "Nonequilibrium dynamics in low-dimensional systems",

abstract = "In these lectures we give an over-view of nonequilibrium stochastic systems. In particular we discuss in detail two models, the asymmetric exclusion process and a ballistic reaction model, that illustrate many general features of nonequilibrium dynamics: for example coarsening dynamics and nonequilibrium phase transitions, As a secondary theme we shall show how a common mathematical structure, the q-deformed harmonic oscillator algebra, serves to furnish exact results for both systems. Thus the lectures also serve as a gentle introduction to things q-deformed, (C) 2002 Elsevier Science B.V. All rights reserved.",

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T1 - Nonequilibrium dynamics in low-dimensional systems

AU - Evans, M R

AU - Blythe, Richard

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N2 - In these lectures we give an over-view of nonequilibrium stochastic systems. In particular we discuss in detail two models, the asymmetric exclusion process and a ballistic reaction model, that illustrate many general features of nonequilibrium dynamics: for example coarsening dynamics and nonequilibrium phase transitions, As a secondary theme we shall show how a common mathematical structure, the q-deformed harmonic oscillator algebra, serves to furnish exact results for both systems. Thus the lectures also serve as a gentle introduction to things q-deformed, (C) 2002 Elsevier Science B.V. All rights reserved.

AB - In these lectures we give an over-view of nonequilibrium stochastic systems. In particular we discuss in detail two models, the asymmetric exclusion process and a ballistic reaction model, that illustrate many general features of nonequilibrium dynamics: for example coarsening dynamics and nonequilibrium phase transitions, As a secondary theme we shall show how a common mathematical structure, the q-deformed harmonic oscillator algebra, serves to furnish exact results for both systems. Thus the lectures also serve as a gentle introduction to things q-deformed, (C) 2002 Elsevier Science B.V. All rights reserved.

KW - nonequilibrium dynamics

KW - stochastic processes

KW - phase transition

KW - asymmetric exclusion process

KW - reaction kinetics

KW - SIMPLE EXCLUSION PROCESS

KW - DRIVEN DIFFUSIVE SYSTEMS

KW - SPONTANEOUS SYMMETRY-BREAKING

KW - OPEN BOUNDARIES

KW - PHASE-TRANSITIONS

KW - BALLISTIC ANNIHILATION

KW - ZERO-TEMPERATURE

KW - DEFECT PARTICLE

KW - LATTICE GASES

KW - MODEL

U2 - 10.1016/S0378-4371(02)01035-X

DO - 10.1016/S0378-4371(02)01035-X

M3 - Article

SN - 0378-4371

VL - 313

SP - 110

EP - 152

JO - Physica a-Statistical mechanics and its applications

JF - Physica a-Statistical mechanics and its applications

IS - 1-2

ER -

Nonequilibrium dynamics in low-dimensional systems

Abstract

Keywords / Materials (for Non-textual outputs)

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