Solution of classical stochastic one dimensional many-body systems

Details Solution of classical stochastic one dimensional many-body systems Solution of classical stochastic one dimensional many-body systems

1999-09-15

arxiv.org/abs/cond-mat/9909226v2

Physics

Condensed Matter

Statistical Mechanics

2 figures

Scientific paper

10.1103/PhysRevLett.83.5214

We propose a simple method that allows, in one dimension, to solve exactly a wide class of classical stochastic many-body systems far from equilibrium. For the sake of illustration and without loss of generality, we focus on a model that describes the asymmetric diffusion of hard core particles in the presence of an external source and instantaneous annihilation. Starting from a Master equation formulation of the problem we show that the density and multi-point correlation functions obey a closed set of integro-differential equations which in turn can be solved numerically and/or analytically

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