Large deviations in weakly interacting boundary driven lattice gases

Frédéric van Wijland, Z. Rácz

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

One-dimensional, boundary-driven lattice gases with local interactions are studied in the weakly interacting limit. The density profiles and the correlation functions are calculated to first order in the interaction strength for zero-range and short-range processes differing only in the specifics of the detailed-balance dynamics. Furthermore, the effective free-energy (large-deviation function) and the integrated current distribution are also found to this order. From the former, we find that the boundary drive generates long-range correlations only for the short-range dynamics while the latter provides support to an additivity principle recently proposed by Bodineau and Derrida.

Original languageEnglish
Pages (from-to)27-54
Number of pages28
JournalJournal of Statistical Physics
Volume118
Issue number1-2
DOIs
Publication statusPublished - 2005

Fingerprint

Lattice Gas
Large Deviations
deviation
Detailed Balance
Local Interaction
Long-range Correlations
Additivity
Density Profile
Dynamic Range
current distribution
gases
Range of data
dynamic range
Correlation Function
Free Energy
free energy
interactions
First-order
Zero
profiles

Keywords

  • Boundary driven systems
  • Current fluctuations
  • Driven lattice gas
  • Large deviations
  • Long-ranged correlations
  • Nonequilibrium fluctuations
  • Nonequilibrium steady states
  • Open systems

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Large deviations in weakly interacting boundary driven lattice gases. / van Wijland, Frédéric; Rácz, Z.

In: Journal of Statistical Physics, Vol. 118, No. 1-2, 2005, p. 27-54.

Research output: Contribution to journalArticle

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