A multi species asymmetric exclusion process, steady state and correlation functions on a periodic lattice
Abstract
Using the technique of Matrix Product Ansatz, a multi-species generalization of the asymmetric simple exclusion process (ASEP) in which particles can overtake each other,is defined and studied on a ring. The steady state and the correlation functions are obtained exactly. The relation to particle hopping models of traffic and the possibility of shock waves in open systems is discussed.It is also shown that by changing the density one can induce counterclockwise currents in a background of positive currents.Keywords
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