Exact solution of an exclusion process with three classes of particles and vacancies
- 17 November 1999
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 32 (48) , 8399-8410
- https://doi.org/10.1088/0305-4470/32/48/303
Abstract
We present an exact solution for an asymmetric exclusion process on a ring with three classes of particles and vacancies. Using a matrix-product Ansatz, we find exact expressions for the weights of the configurations in the stationary state. The solution involves tensor products of quadratic algebras.Keywords
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This publication has 28 references indexed in Scilit:
- An exactly soluble non-equilibrium system: The asymmetric simple exclusion processPhysics Reports, 1998
- Exact Large Deviation Function in the Asymmetric Exclusion ProcessPhysical Review Letters, 1998
- Exact solution of the totally asymmetric simple exclusion process: Shock profilesJournal of Statistical Physics, 1993
- Reaction-diffusion processes as physical realizations of Hecke algebrasPhysics Letters B, 1993
- Exact solution of a 1D asymmetric exclusion model using a matrix formulationJournal of Physics A: General Physics, 1993
- A cellular automaton model for freeway trafficJournal de Physique I, 1992
- Bethe solution for the dynamical-scaling exponent of the noisy Burgers equationPhysical Review A, 1992
- Selected abstracts from the solid state physics symposium, Pant university, Pantnagar, India, December 20–23, 1986Phase Transitions, 1987
- Exact results for 2D directed animals on a strip of finite widthJournal of Physics A: General Physics, 1983
- Theory of one-dimensional hopping conductivity and diffusionPhysical Review B, 1977