Extreme current fluctuations in lattice gases: Beyond nonequilibrium steady states

Baruch Meerson*, Pavel V. Sasorov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


We use the macroscopic fluctuation theory (MFT) to study large current fluctuations in nonstationary diffusive lattice gases. We identify two universality classes of these fluctuations, which we call elliptic and hyperbolic. They emerge in the limit when the deterministic mass flux is small compared to the mass flux due to the shot noise. The two classes are determined by the sign of compressibility of effective fluid, obtained by mapping the MFT into an inviscid hydrodynamics. An example of the elliptic class is the symmetric simple exclusion process, where, for some initial conditions, we can solve the effective hydrodynamics exactly. This leads to a super-Gaussian extreme current statistics conjectured by Derrida and Gerschenfeld [J. Stat. Phys. 137, 978 (2009)JSTPBS0022-471510.1007/s10955-009-9830-1] and yields the optimal path of the system. For models of the hyperbolic class, the deterministic mass flux cannot be neglected, leading to a different extreme current statistics.

Original languageAmerican English
Article number010101
JournalPhysical Review E
Issue number1
StatePublished - 10 Jan 2014


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