Validity of the additivity principle in the weakly asymmetric exclusion process with open boundaries

Details Validity of the additivity principle in the weakly asymmetric exclusion process with open boundaries Validity of the additivity principle in the weakly asymmetric exclusion process with open boundaries

2012-01-30

arxiv.org/abs/1201.6264v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

The additivity principle allows a calculation of current fluctuations and associated density profiles in large diffusive systems. In order to test its validity in the weakly asymmetric exclusion process with open boundaries, we use a numerical approach based on the density matrix renormalisation. With this technique, we determine the cumulant generating function of the current and the density profile corresponding to atypical currents in finite systems. We find that these converge to those predicted by the additivity principle. No evidence for dynamical phase transitions is found.

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