Large Deviation Function of the Partially Asymmetric Exclusion Process

Abstract

The large deviation function obtained recently by Derrida and Lebowitz for the totally asymmetric exclusion process is generalized to the partially asymmetric case in the scaling limit. The asymmetry parameter rescales the scaling variable in a simple way. The finite-size corrections to the universal scaling function and the universal cumulant ratio are also obtained to the leading order.Comment: 10 pages, 2 eps figures, minor changes, submitted to PR