TASEP with Discontinuous Jump Rates
Probability
2011-10-18 v2
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.
Cite
@article{arxiv.1003.3218,
title = {TASEP with Discontinuous Jump Rates},
author = {Nicos Georgiou and Rohini Kumar and Timo Seppalainen},
journal= {arXiv preprint arXiv:1003.3218},
year = {2011}
}
Comments
27 pages, 7 figures. In this version we included two more remarks, added a reference and fixed some typos