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Paper IPM / P / 6726 |
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Abstract: | |||||
We consider a multi-species generalization of the Asymmetric
Simple Exclusion Process on an open chain, in which particles hop
with their characteristic hopping rates and fast particles can
overtake slow ones. The number of species is arbitrary and the
hopping rates can be selected from a discrete or continuous
distribution. We determine exactly the phase structure of this
model and show how the phase diagram of the 1-species ASEP is
modified. Depending on the distribution of hopping rates, the
system can exist in a three-phase regime or a two phase regime. In
the three- phase regime the phase structure is almost the same as
in the one species case, that is, there are the low density, the
high density and the maximal current phases, while in the
two-phase regime there is no high density phase.
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