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Hydrodynamics for totally asymmetric $k$-step exclusion processes

Herve Guiol·Krishnamurthi Ravishankar·Ellen Saada
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Abstract

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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Herve Guiol, Krishnamurthi Ravishankar, Ellen Saada. 1999-11-26. Hydrodynamics for totally asymmetric $k$-step exclusion processes. https://arxiv.org/abs/math/9911213

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