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arXiv · 1807.00138

Brownian asymmetric simple exclusion process

Dominik Lips·Artem Ryabov·Philipp Maass
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Abstract

We study the driven Brownian motion of hard rods in a one-dimensional cosine potential with an amplitude large compared to the thermal energy. In a closed system, we find surprising features of the steady-state current in dependence of the particle density. The form of the current-density relation changes greatly with the particle size and can exhibit both a local maximum and minimum. The changes are caused by an interplay of a barrier reduction, blocking and exchange symmetry effect. The latter leads to a current equal to that of non-interacting particles for a particle size commensurate with the period length of the cosine potential. For an open system coupled to particle reservoirs, we predict five different phases of non-equilibrium steady states to occur. Our results show that the particle size can be of crucial importance for non-equilibrium phase transitions in driven systems. Possible experiments for demonstrating our findings are pointed out.

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Dominik Lips, Artem Ryabov, Philipp Maass. 2018-06-30. Brownian asymmetric simple exclusion process. https://doi.org/10.1103/physrevlett.121.160601

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