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Particle redistribution and slow decay of correlations in hard-core fluids on a half-driven ladder

Ronald Dickman·Ronaldo R. Vidigal
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Abstract

We study driven particle systems with excluded volume interactions on a two-lane ladder with periodic boundaries, using Monte Carlo simulation, cluster mean-field theory, and numerical solution of the master equation. Particles in one lane are subject to a drive that forbids motion along one direction, while in the other lane the motion is unbiased; particles may jump between lanes. Despite the symmetry of the rates for transitions between lanes, the associated particle densities are unequal: at low densities there is an excess of particles in the undriven lane, while at higher densities the tendency is reversed. Similar results are found for an off-lattice model. We quantify the reduction in the stationary entropy caused by the drive. The stationary two-point correlation functions are found to decay algebraically, both on- and off-lattice. In the latter case the exponent governing the decay varies continuously with the density.

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Ronald Dickman, Ronaldo R. Vidigal. 2007-04-13. Particle redistribution and slow decay of correlations in hard-core fluids on a half-driven ladder. https://doi.org/10.1088/1742-5468%2F2007%2F05%2Fp05003

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