Fluctuations and skewness of the current in the partially asymmetric exclusion process

Simple item page
dc.creatorProlhac, Sylvain
dc.date2008-05-27
dc.date2008-07-17
dc.date.accessioned2026-07-07T09:53:24Z
dc.date.available2026-07-07T09:53:24Z
dc.descriptionWe use functional Bethe Ansatz equations to calculate the cumulants of the total current in the partially asymmetric exclusion process. We recover known formulas for the first two cumulants (mean value of the current and diffusion constant) and obtain an explicit finite size formula for the third cumulant. The expression for the third cumulant takes a simple integral form in the limit where the asymmetry scales as the inverse of the square root of the size of the system, which corresponds to a natural separation between weak and strong asymmetry.
dc.description21 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0805.4118
dc.identifierhttp://arxiv.org/abs/0805.4118
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 365003
dc.identifierdoi:10.1088/1751-8113/41/36/365003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165943
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleFluctuations and skewness of the current in the partially asymmetric exclusion process
dc.typetext

Files

Collections

arXiv