Bethe Ansatz and Current Distribution for the TASEP with Particle-Dependent Hopping Rates

A. Rakos, G.M. Schuetz

2006, v.12, №2, 323-334

ABSTRACT

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.

Keywords: current distribution,random matrices,asymmetric simple exclusionprocess,Bethe ansatz,disorder

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