The effective interaction between two probe particles in a one-dimensional driven system is studied. The analysis is carried out using an asymmetric simple exclusion process with nearest-neighbor interactions. It is found that the driven fluid mediates an effective long-range attraction between the two probes, with a force that decays at large distances x as ? b/x, where b is a function of the interaction parameters. Depending on the amplitude b, the two probes may form one of three states: a) an unbound state, where the distance grows diffusively with time; b) a weakly bound state, in which the distance grows sub-diffusively; and c) a strongly bound state, where the average distance stays finite in the long-time limit. Similar results are found for the behavior of any finite number of probes.
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Phase-separation transition in one-dimensional driven models.
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2002,
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Michael E. Cates,et al.
Soft and fragile matter : nonequilibrium dynamics, metastability and flow : proceedings of the Fifty Third Scottish Universities Summer School in Physics, St. Andrews, July 1999
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2000
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