Hydrodynamics for totally asymmetric $k$-step exclusion processes

Herve Guiol; Krishnamurthi Ravishankar; Ellen Saada

Hydrodynamics for totally asymmetric $k$-step exclusion processes

概率论 2010-11-10 v1 数学物理 math.MP

作者: Herve Guiol , Krishnamurthi Ravishankar , Ellen Saada

摘要

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.

关键词

hydrodynamic limit fluid dynamics geodesic flow

引用

@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}
}

备注

18 pages

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