The Lee-Yang theory of equilibrium and nonequilibrium phase transitions

Richard Blythe; Martin Evans

doi:10.1590/S0103-97332003000300008

The Lee-Yang theory of equilibrium and nonequilibrium phase transitions

Richard Blythe, Martin Evans

School of Physics and Astronomy

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

Abstract

We present a pedagogical account of the Lee-Yang theory of equilibrium phase transitions and review recent advances in applying this theory to nonequilibrium systems. Through both general considerations and explicit studies of specific models, we show, that the Lee-Yang approach can be used to locate and classify phase transitions in nonequilibrium steady states.

Original language	English
Pages (from-to)	464-475
Number of pages	12
Journal	Brazilian journal of physics
Volume	33
Issue number	3
DOIs	https://doi.org/10.1590/S0103-97332003000300008
Publication status	Published - Sept 2003

Keywords / Materials (for Non-textual outputs)

SIMPLE EXCLUSION PROCESS
PARTITION-FUNCTION
TRANSLATIONAL INVARIANCE
SPONTANEOUS BREAKING
STATIONARY STATES
TEMPERATURE ZEROS
SYSTEMS
MODEL
RING
LATTICE

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10.1590/S0103-97332003000300008

Cite this

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title = "The Lee-Yang theory of equilibrium and nonequilibrium phase transitions",

abstract = "We present a pedagogical account of the Lee-Yang theory of equilibrium phase transitions and review recent advances in applying this theory to nonequilibrium systems. Through both general considerations and explicit studies of specific models, we show, that the Lee-Yang approach can be used to locate and classify phase transitions in nonequilibrium steady states.",

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AU - Blythe, Richard

AU - Evans, Martin

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AB - We present a pedagogical account of the Lee-Yang theory of equilibrium phase transitions and review recent advances in applying this theory to nonequilibrium systems. Through both general considerations and explicit studies of specific models, we show, that the Lee-Yang approach can be used to locate and classify phase transitions in nonequilibrium steady states.

KW - SIMPLE EXCLUSION PROCESS

KW - PARTITION-FUNCTION

KW - TRANSLATIONAL INVARIANCE

KW - SPONTANEOUS BREAKING

KW - STATIONARY STATES

KW - TEMPERATURE ZEROS

KW - SYSTEMS

KW - MODEL

KW - RING

KW - LATTICE

U2 - 10.1590/S0103-97332003000300008

DO - 10.1590/S0103-97332003000300008

M3 - Article

SN - 0103-9733

VL - 33

SP - 464

EP - 475

JO - Brazilian journal of physics

JF - Brazilian journal of physics

IS - 3

ER -

The Lee-Yang theory of equilibrium and nonequilibrium phase transitions

Abstract

Keywords / Materials (for Non-textual outputs)

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