Hydrodynamics for totally asymmetric $k$-step exclusion processes

Details Hydrodynamics for totally asymmetric $k$-step exclusion processes Hydrodynamics for totally asymmetric $k$-step exclusion processes

1999-11-26

arxiv.org/abs/math/9911213v1

Mathematics

Probability

18 pages

Scientific paper

We describe the hydrodynamic behavior of the $k$-step exclusion process.
Since the flux appearing in the hydrodynamic equation for this particle system
is neither convex nor concave, the set of possible solutions include in
addition to entropic shocks and continuous solutions those with contact
discontinuities. We finish with a limit theorem for the tagged particle.

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