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Solution of Classical Stochastic One Dimensional Many-body Systems by Bares, Pierre-Antoine; Mobilia, Mauro is a scholarly article available to read on EtoBox.

What is Solution of Classical Stochastic One Dimensional Many-body Systems about?

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

Author

Bares, Pierre-Antoine; Mobilia, Mauro

Published

1999

Language

EN