Euler hydrodynamics for attractive particle systems in random environment

Abstract : We prove quenched hydrodynamic limit under hyperbolic time scaling for bounded attractive particle systems on $\Z$ in random ergodic environment. Our result is a strong law of large numbers, that we illustrate with various examples.
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Christophe Bahadoran, Hervé Guiol, K. Ravishankar, Ellen Saada. Euler hydrodynamics for attractive particle systems in random environment. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institute Henri Poincaré, 2014, 90 (2), pp.403-424. ⟨10.1214/12-AIHP510⟩. ⟨hal-00658559v2⟩

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