Exact solution of a one-parameter family of asymmetric exclusion processes

Details Exact solution of a one-parameter family of asymmetric exclusion processes Exact solution of a one-parameter family of asymmetric exclusion processes

1998-01-14

arxiv.org/abs/cond-mat/9801136v1

Phys. Rev. E57 (1998) 6370

Physics

Condensed Matter

14 pages, LaTex

Scientific paper

10.1103/PhysRevE.57.6370

We define a family of asymmetric processes for particles on a one-dimensional lattice, depending on a continuous parameter $\lambda \in [0,1] $, interpolating between the completely asymmetric processes [1] (for $\lambda =1$) and the n=1 drop-push models [2] (for $ \lambda =0$). For arbitrary $\la$, the model describes an exclusion process, in which a particle pushes its right neighbouring particles to the right, with rates depending on the number of these particles. Using the Bethe ansatz, we obtain the exact solution of the master equation .

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