Exclusion process for particles of arbitrary extension: hydrodynamic limit and algebraic properties

Abstract

The behaviour of extended particles with exclusion interaction on a\none-dimensional lattice is investigated. The basic model is called $\\ell$-ASEP\nas a generalization of the asymmetric exclusion process (ASEP) to particles of\narbitrary length $\\ell$. Stationary and dynamical properties of the $\\ell$-ASEP\nwith periodic boundary conditions are derived in the hydrodynamic limit from\nmicroscopic properties of the underlying stochastic many-body system. In\nparticular, the hydrodynamic equation for the local density evolution and the\ntime-dependent diffusion constant of a tracer particle are calculated. As a\nfundamental algebraic property of the symmetric exclusion process (SEP) the\nSU(2)-symmetry is generalized to the case of extended particles.\n