A two--parametric family of asymmetric exclusion processes and its exact solution

Details A two--parametric family of asymmetric exclusion processes and its exact solution A two--parametric family of asymmetric exclusion processes and its exact solution

1998-05-13

arxiv.org/abs/cond-mat/9805155v3

J. Stat. Phys. 97 (1999) 373

Physics

Condensed Matter

The last version that will be appeared in " Jour. Stat. Phys. (1999) "

Scientific paper

A two--parameter family of asymmetric exclusion processes for particles on a one-dimensional lattice is defined. The two parameters of the model control the driving force and an effect which we call pushing, due to the fact that particles can push each other in this model. We show that this model is exactly solvable via the coordinate Bethe Ansatz and show that its {\it N}-particle $S$-matrix is factorizable. We also study the interplay of the above effects in determining various steady state and dynamical characteristics of the system.

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