The asymmetric simple exclusion process with an open boundary [PDF]
Craig A. Tracy, Harold WidomWe consider the asymmetric simple exclusion process confined to the nonnegative integers with an open boundary at 0. The point 0 is connected to a reservoir where particles are injected and ejected at prescribed rates subject to the exclusion rule. We derive formulas for the transition probability as a function of time from states where initially there are m particles to states where there are n particles.View original: http://arxiv.org/abs/1304.0800
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