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Non-local response in a lattice gas under a shear drive

Journal of Physics A: Mathematical and Theoretical, ISSN: 1751-8121, Vol: 47, Issue: 50
2014
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In equilibrium, the effect of a spatially localized perturbation is typically confined around the perturbed region. Quite contrary to this, in a non-equilibrium stationary state often the entire system is affected. This appears to be a generic feature of non-equilibrium. We study such a non-local response in the stationary state of a lattice gas with a shear drive at the boundary, which keeps the system out of equilibrium. We show that a perturbation in the form of a localized blockage at the boundary induces an algebraically decaying density and current profile. In two examples, non-interacting particles and particles with simple exclusion, we analytically derive the power-law tail of the profiles.

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