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arXiv · 1003.3218

TASEP with Discontinuous Jump Rates

Nicos Georgiou·Rohini Kumar·Timo Seppalainen
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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 flow 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.

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Nicos Georgiou, Rohini Kumar, Timo Seppalainen. 2010-03-16. TASEP with Discontinuous Jump Rates. https://arxiv.org/abs/1003.3218

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