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Condensed Matter > Statistical Mechanics

arXiv:cond-mat/0404358 (cond-mat)
[Submitted on 15 Apr 2004]

Title:Large deviations in weakly interacting boundary driven lattice gases

Authors:Frederic van Wijland, Zoltan Racz
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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.
Comments: 27 pages, 2 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech)
Report number: LPT Orsay 04-29
Cite as: arXiv:cond-mat/0404358 [cond-mat.stat-mech]
  (or arXiv:cond-mat/0404358v1 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.cond-mat/0404358
Related DOI: https://doi.org/10.1007/s10955-004-8776-6

Submission history

From: Frederic van Wijland [view email]
[v1] Thu, 15 Apr 2004 11:05:02 UTC (62 KB)
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