Exact joint density-current probability function for the asymmetric exclusion process

Details Exact joint density-current probability function for the asymmetric exclusion process Exact joint density-current probability function for the asymmetric exclusion process

2004-03-02

arxiv.org/abs/cond-mat/0403079v1

Phys. Rev. Lett. 93, 040602 (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.93.040602

We study the asymmetric exclusion process with open boundaries and derive the exact form of the joint probability function for the occupation number and the current through the system. We further consider the thermodynamic limit, showing that the resulting distribution is non-Gaussian and that the density fluctuations have a discontinuity at the continuous phase transition, while the current fluctuations are continuous. The derivations are performed by using the standard operator algebraic approach, and by the introduction of new operators satisfying a modified version of the original algebra.

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