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Condensed Matter > Statistical Mechanics

Title: Exact confirmation of 1D nonlinear fluctuating hydrodynamics for a two-species exclusion process

Abstract: We consider current statistics for a two species exclusion process of particles hopping in opposite directions on a one-dimensional lattice. We derive an exact formula for the Green's function as well as for a joint current distribution of the model, and study its long time behavior. For a step type initial condition, we show that the limiting distribution is a product of the Gaussian and the GUE Tracy-Widom distribution. This is the first analytic confirmation for a multi-component system of a prediction from the recently proposed non-linear fluctuating hydrodynamics for one dimensional systems.
Comments: 6 pages, 3 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Probability (math.PR)
Cite as: arXiv:1803.06829 [cond-mat.stat-mech]
  (or arXiv:1803.06829v1 [cond-mat.stat-mech] for this version)

Submission history

From: Tomohiro Sasamoto [view email]
[v1] Mon, 19 Mar 2018 08:31:45 GMT (190kb)