%0 Journal Article
%T Solution of classical stochastic one dimensional many-body systems
%A Pierre-Antoine Bares
%A Mauro Mobilia
%J Physics
%D 1999
%I arXiv
%R 10.1103/PhysRevLett.83.5214
%X 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
%U http://arxiv.org/abs/cond-mat/9909226v2