Stochastic exclusion processes with extended hopping.
We study the effects of extended hopping in the stochastic asymmetric simple exclusion process (ASEP) of one dimension. A modified ASEP with four parameters is proposed. The current and bulk density are calculated. Two different phases with a curved boundary are observed. The phase of maximum current is absent. We also present the unusual density fluctuations near both boundaries. The characteristic of the stochastic dynamics with extended hopping is pointed out.
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