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

Abstract

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.

4 pages, 3 figures

References in corpus (4)

• Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
• Current fluctuations in the one dimensional Symmetric Exclusion Process with open boundaries
• Exact Free Energy Functional for a Driven Diffusive Open Stationary Nonequilibrium System
• Large Deviation Function of the Partially Asymmetric Exclusion Process

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• Non-equilibrium processes: driven lattice gases, interface dynamics, and quenched disorder effects on density profiles and currents
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• From generalized directed animals to the asymmetric simple exclusion process
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• The statistics of diffusive flux
• Nonequilibrium phases and quantum correlations in synthetic transport models