Skip to content

Coexistence of shocks and rarefaction fans: complex phase diagram of a simple hyperbolic particle system

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)115-125
Number of pages11
JournalJournal of Statistical Physics
Issue number1
Early online date24 Aug 2016
DateAccepted/In press - 8 Aug 2016
DateE-pub ahead of print - 24 Aug 2016
DatePublished (current) - Oct 2016


This paper investigates the non-equilibrium hydrodynamic behavior of a simple totally asymmetric interacting particle system of particles, antiparticles and holes on Z. Rigorous hydrodynamic results apply to our model with a hydrodynamic flux that is exactly calculated and shown to change convexity in some region of the model parameters. We then characterize the entropy solutions of the hydrodynamic equation with step initial condition in this scenario which include various mixtures of rarefaction fans and shock waves. We highlight how the phase diagram of the model changes by varying the model parameters.

    Research areas

  • Asymmetric particle system, hydrodynamic equation, non-equilibrium behavior, non-convex flux, Riemann problem, shock, rarefaction fan

Download statistics

No data available



  • Full-text PDF (accepted author manuscript)

    Rights statement: This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Springer Verlag at DOI: 10.1007/s10955-016-1600-2. Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 398 KB, PDF document


View research connections

Related faculties, schools or groups