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

G. Schoenherr·G. M. Schuetz
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Abstract

The behaviour of extended particles with exclusion interaction on a one-dimensional lattice is investigated. The basic model is called $\ell$-ASEP as a generalization of the asymmetric exclusion process (ASEP) to particles of arbitrary length $\ell$. Stationary and dynamical properties of the $\ell$-ASEP with periodic boundary conditions are derived in the hydrodynamic limit from microscopic properties of the underlying stochastic many-body system. In particular, the hydrodynamic equation for the local density evolution and the time-dependent diffusion constant of a tracer particle are calculated. As a fundamental algebraic property of the symmetric exclusion process (SEP) the SU(2)-symmetry is generalized to the case of extended particles.

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G. Schoenherr, G. M. Schuetz. 2004-04-03. Exclusion process for particles of arbitrary extension: Hydrodynamic limit and algebraic properties. https://doi.org/10.1088/0305-4470%2F37%2F34%2F002

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