Hydrodynamics for totally asymmetric $k$-step exclusion processes
Probability
2010-11-10 v1 Mathematical Physics
math.MP
Abstract
We describe the hydrodynamic behavior of the -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.
Cite
@article{arxiv.math/9911213,
title = {Hydrodynamics for totally asymmetric $k$-step exclusion processes},
author = {Herve Guiol and Krishnamurthi Ravishankar and Ellen Saada},
journal= {arXiv preprint arXiv:math/9911213},
year = {2010}
}
Comments
18 pages