TASEP with discontinuous jump rates

Georgiou, Nicos, Kumar, Rohini and Seppäläinen, Timo (2010) TASEP with discontinuous jump rates. ALEA : Latin American Journal of Probability and Mathematical Statistics, 7. pp. 293-318. ISSN 1980-0436

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Abstract

We prove a hydrodynamic limit for the totally asymmetric simple exclusion process with spatially inhomogeneous jump rates given by a speed function that may admit discontinuities. The limiting density profiles are described with a variational formula. This formula enables us to compute explicit density profiles even though we have no information about the invariant distributions of the process.
In the case of a two-phase flux for which a suitable p.d.e. theory has been developed we also observe that the limit profiles are entropy solutions of the corresponding scalar conservation law with a discontinuous speed function.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0273 Probabilities. Mathematical statistics
Depositing User: Nicos Georgiou
Date Deposited: 28 Oct 2014 09:48
Last Modified: 08 Mar 2017 08:32
URI: http://sro.sussex.ac.uk/id/eprint/50730

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