Hydrodynamics for totally asymmetric k-step exclusion processes

1999/11/26 by Hervé Guiol, Herve Guiol, Krishnamurthi Ravishankar +5
Business, Management and Accounting · Mathematics · Physics and Astronomy · #60K35 #82C22 #Advanced Queuing Theory Analysis #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #math-ph #math.MP #math.PR #msc:60K35 #msc:82C22

paper · pdf · doi:10.48550/arxiv.math/9911213

18 pages

arxiv created 1999/11/26 · openalex publication_date 1999/11/26 · arxiv updated 2010/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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