Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-12-06
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1209/epl/i2005-10026-2
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.
Levine Erel
Mukamel David
Schütz Gunter M.
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