Blockage hydrodynamics of one-dimensional driven conservative systems

• Christophe Bahadoran ^[1]
  1. [1] Blaise Pascal University

     Blaise Pascal University

     Arrondissement de Clermont-Ferrand, Francia

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 32, Nº. 1, 2, 2004, págs. 805-854
• Idioma: inglés
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• Resumen

  • We consider an arbitrary one-dimensional conservative particle system with finite-range interactions and finite site capacity, governed on the hydrodynamic scale by a scalar conservation law with Lipschitz-continuous flux h. A finite-size perturbation restricts the local current to some maximum value ϕ. We show that the perturbed hydrodynamic behavior is entirely determined by ϕ if inf(h;ϕ) is first nondecreasing and then nonincreasing, which we believe is a necessary condition.