Long range correlations and phase transitions in non-equilibrium diffusive systems

T. Bodineau; B. Derrida; V. Lecomte; F. Van Wijland

doi:10.1007/s10955-008-9647-3

Long range correlations and phase transitions in non-equilibrium diffusive systems

T. Bodineau, B. Derrida, V. Lecomte, F. Van Wijland

École Polytechnique

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

Abstract

We obtain explicit expressions for the long range correlations in the ABC model and in diffusive models conditioned to produce an atypical current of particles. In both cases, the two-point correlation functions allow one to detect the occurrence of a phase transition as they become singular when the system approaches the transition.

Original language	English
Pages (from-to)	1013-1031
Number of pages	19
Journal	Journal of Statistical Physics
Volume	133
Issue number	6
DOIs	https://doi.org/10.1007/s10955-008-9647-3
Publication status	Published - 1 Jan 2008

Keywords

Diffusive dynamics
Fluctuations
Non-equilibrium
Phase transition

Access to Document

10.1007/s10955-008-9647-3

Cite this

@article{b4dc3bff57a740e2acd45d19214018e3,

title = "Long range correlations and phase transitions in non-equilibrium diffusive systems",

abstract = "We obtain explicit expressions for the long range correlations in the ABC model and in diffusive models conditioned to produce an atypical current of particles. In both cases, the two-point correlation functions allow one to detect the occurrence of a phase transition as they become singular when the system approaches the transition.",

keywords = "Diffusive dynamics, Fluctuations, Non-equilibrium, Phase transition",

author = "T. Bodineau and B. Derrida and V. Lecomte and \{Van Wijland\}, F.",

year = "2008",

month = jan,

day = "1",

doi = "10.1007/s10955-008-9647-3",

language = "English",

volume = "133",

pages = "1013--1031",

journal = "Journal of Statistical Physics",

issn = "0022-4715",

number = "6",

}

TY - JOUR

T1 - Long range correlations and phase transitions in non-equilibrium diffusive systems

AU - Bodineau, T.

AU - Derrida, B.

AU - Lecomte, V.

AU - Van Wijland, F.

PY - 2008/1/1

Y1 - 2008/1/1

N2 - We obtain explicit expressions for the long range correlations in the ABC model and in diffusive models conditioned to produce an atypical current of particles. In both cases, the two-point correlation functions allow one to detect the occurrence of a phase transition as they become singular when the system approaches the transition.

AB - We obtain explicit expressions for the long range correlations in the ABC model and in diffusive models conditioned to produce an atypical current of particles. In both cases, the two-point correlation functions allow one to detect the occurrence of a phase transition as they become singular when the system approaches the transition.

KW - Diffusive dynamics

KW - Fluctuations

KW - Non-equilibrium

KW - Phase transition

U2 - 10.1007/s10955-008-9647-3

DO - 10.1007/s10955-008-9647-3

M3 - Article

AN - SCOPUS:57849126625

SN - 0022-4715

VL - 133

SP - 1013

EP - 1031

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 6

ER -

Long range correlations and phase transitions in non-equilibrium diffusive systems

Abstract

Keywords

Access to Document

Fingerprint

Cite this