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.
@article{hal-00273690,
author = {Freire, Marcelo V. and Guiol, Herv\'e and Ravishankar, Krishnamurthi and Saada, Ellen},
title = {Microscopic structure of the k -step exclusion process},
journal = {HAL},
volume = {2002},
number = {0},
year = {2002},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00273690}
}
Freire, Marcelo V.; Guiol, Hervé; Ravishankar, Krishnamurthi; Saada, Ellen. Microscopic structure of the k -step exclusion process. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00273690/