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Pré-Publication, Document De Travail Année : 1999

Hydrodynamics for totally asymmetric $k$-step exclusion processes

Résumé

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.

Dates et versions

hal-00273581 , version 1 (15-04-2008)

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Hervé Guiol, Krishnamurthi Ravishankar, Ellen Saada. Hydrodynamics for totally asymmetric $k$-step exclusion processes. 1999. ⟨hal-00273581⟩
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