Exclusion Processes and boundary conditions

Details Exclusion Processes and boundary conditions Exclusion Processes and boundary conditions

2002-11-08

arxiv.org/abs/cond-mat/0211167v2

Mod. Phys. Lett. B18 (2004) 1-9

Physics

Condensed Matter

Statistical Mechanics

11 pages, LaTeX2e

Scientific paper

10.1142/S0217984904006664

A family of boundary conditions corresponding to exclusion processes is introduced. This family is a generalization of the boundary conditions corresponding to the simple exclusion process, the drop-push model, and the one-parameter solvable family of pushing processes with certain rates on the continuum [1-3]. The conditional probabilities are calculated using the Bethe ansatz, and it is shown that at large times they behave like the corresponding conditional probabilities of the family of diffusion-pushing processes introduced in [1-3].

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