Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates

Details Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates

2005-06-21

arxiv.org/abs/cond-mat/0506525v1

Markov Processes and Related Fields 12, 323-334 (2006)

Physics

Condensed Matter

Statistical Mechanics

14 pages

Scientific paper

Using the Bethe ansatz we obtain in a determinant form the exact solution of
the master equation for the conditional probabilities of the totally asymmetric
exclusion process with particle-dependent hopping rates on Z. From this we
derive a determinant expression for the time-integrated current for a
step-function initial state.

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