Abstract
We prove the symmetry of the diffusion coefficient that appears in the fluctuation-dissipation theorem for asymmetric simple exclusion processes.
Similar content being viewed by others
Change history
06 November 2023
A Correction to this paper has been published: https://doi.org/10.1007/s10955-023-03196-2
References
C. C. Chung C. Landim S. Olla (1994) ArticleTitleEquilibrium fluctuations of asymmetric simple exclusion processes in dimension d ≥ 3 Probab. Th. Rel. Fields 119 381–409
R. Esposito R. Marra H. T. Yau (1994) ArticleTitleDiffusive limit of asymmetric simple exclusion. Rev. Math. Phys. 6 1233–1267 Occurrence Handle10.1142/S0129055X94000444
C. Landim S. Olla H. T. Yau (1997) ArticleTitleFirst order correction for the hydrodynamic limit of asymmetric simple exclusion processes in dimension d ≥ 3. Comm. Pure Appl. Math. 50 149–203 Occurrence Handle10.1002/(SICI)1097-0312(199702)50:2<149::AID-CPA2>3.0.CO;2-C
C. Landim S. Olla H. T. Yau (1996) ArticleTitleSome properties of the diffusion coefficient for asymmetric simple exclusion processes Ann. Probab. 24 1779–1807 Occurrence Handle10.1214/aop/1041903206
C. Landim S. Olla S. R. S. Varadhan (2004) ArticleTitleOn viscosity and fluctuation-dissipation in exclusion processes. J. Stat. Phys. 115 IssueID1–2 323–363 Occurrence Handle10.1023/B:JOSS.0000019814.73545.28 Occurrence HandleMR2070098
C. Landim, S. Olla, and S. R. S. Varadhan, Diffusive behaviour of the equilibrium fluctuations in the asymmetric exclusion processes, in Stochastic Analysis on Large Interacting Systems, Advanced Studies in Pure Mathematics, (T. Funaki, H. Osada eds), Vol. 39, Mathematical Society of Japan March 2004.
C. Landim M. Sued G. Valle (2004) ArticleTitleHydrodynamic limit of asymmetric exclusion process under diffusive scaling in d ≥ 3 Commun. Math. Phys. 249 215–247 Occurrence Handle10.1007/s00220-004-1076-9 Occurrence HandleMR2080952
C. Landim H. T. Yau (1997) ArticleTitleFluctuation-Dissipation Equation of Asymmetric Simple Exclusion Process Probab. Th. Rel. Fields. 108 IssueID3 321–356 Occurrence Handle10.1007/s004400050112
L. Xu, Diffusive Limit for a Lattice Gas with Short Range Interactions. Ph.D. Thesis, New York University.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Loulakis, M. On the Symmetry of the Diffusion Coefficient in Asymmetric Simple Exclusion. J Stat Phys 119, 853–860 (2005). https://doi.org/10.1007/s10955-005-3018-0
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s10955-005-3018-0