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TASEP with discontinuous jump rates

journal contribution
posted on 2023-06-08, 18:48 authored by Nicos GeorgiouNicos Georgiou, Rohini Kumar, Timo Seppäläinen
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

ALEA : Latin American Journal of Probability and Mathematical Statistics

ISSN

1980-0436

Publisher

Instituto Nacional de Matematica Pura e Aplicada (I M P A)

Volume

7

Page range

293-318

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2014-10-28

First Compliant Deposit (FCD) Date

2014-10-24

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