Bethe Ansatz and Current Distribution for the TASEP with Particle-Dependent Hopping Rates
2006, v.12, №2, 323-334
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