Microscopic structure of the k -step exclusion process

Marcelo V. Freire , Hervé Guiol (1) , Krishnamurthi Ravishankar , Ellen Saada (2)

1 EPFL - Ecole Polytechnique Fédérale de Lausanne
2 LMRS - Laboratoire de Mathématiques Raphaël Salem

We review the hydrodynamics and discuss the shock, rarefaction fan and contact discontinuity at a microscopic level for a one-dimensional totally asymmetric k-step exclusion process. In particular we define a microscopical object that identifies the shock in the decreasing case.

Mots clés: k-step exclusion process; non-concave non-convex flux; microscopic shock; rarefaction fan; contact discontinuity; simulation

Domaines: Probabilités [math.PR]

Marcelo V. Freire, Hervé Guiol, Krishnamurthi Ravishankar, Ellen Saada. Microscopic structure of the k -step exclusion process. Bulletin of the Brazilian Mathematical Society, 2002, 33 (3), pp.319-339. ⟨10.1007/s005740200017⟩. ⟨hal-00273690⟩