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• W1970658049 abstract "We study the transition probabilities for the totally asymmetric simple exclusion process (TASEP) on the infinite integer lattice with a finite, but arbitrary number of first and second class particles. Using the Bethe ansatz we present an explicit expression of these quantities in terms of the Bethe wave function. In a next step it is proved rigorously that this expression can be written in a compact determinantal form for the case where the order of the first and second class particles does not change in time. An independent geometrical approach provides insight into these results and enables us to generalize the determinantal solution to the multi-class TASEP." @default.
• W1970658049 created "2016-06-24" @default.
• W1970658049 creator A5015582156 @default.
• W1970658049 creator A5031619199 @default.
• W1970658049 date "2010-07-16" @default.
• W1970658049 modified "2023-09-26" @default.
• W1970658049 title "Determinant Representation for Some Transition Probabilities in the TASEP with Second Class Particles" @default.
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• W1970658049 doi "https://doi.org/10.1007/s10955-010-0022-9" @default.
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