Exact Solution of the Master Equation for the Asymmetric Exclusion Process

Details Exact Solution of the Master Equation for the Asymmetric Exclusion Process Exact Solution of the Master Equation for the Asymmetric Exclusion Process

1997-01-06

arxiv.org/abs/cond-mat/9701019v1

Physics

Condensed Matter

Statistical Mechanics

20 pages, Latex, to be appear in J. Stat. Phys

Scientific paper

10.1007/BF02508478

Using the Bethe ansatz, we obtain the exact solution of the master equation
for the totally asymmetric exclusion process on an infinite one-dimensional
lattice. We derive explicit expressions for the conditional probabilities
P(x_1, ... ,x_N;t|y_1, ... ,y_N;0) of finding N particles on lattice sites x_1,
... ,x_N at time t with initial occupation y_1, ... ,y_N at time t=0.

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