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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 SeppäläinenWe 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.
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Publication status
- Published
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- Published version
Journal
ALEA : Latin American Journal of Probability and Mathematical StatisticsISSN
1980-0436Publisher
Instituto Nacional de Matematica Pura e Aplicada (I M P A)Publisher URL
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7Page range
293-318Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2014-10-28First Compliant Deposit (FCD) Date
2014-10-24Usage metrics
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