Strong hydrodynamic limit for attractive particle systems on Z
Christophe Bahadoran, Université Clermont 2
Hervé Guiol, TIMC - TIMB, INP Grenoble, Faculté de Médecine
Krishnamurthi Ravishankar, Dep. of Mathematics, SUNY, College at New Paltz, NY
Ellen Saada, CNRS, UMR 6085, Université de Rouen
Abstract
We prove almost sure Euler hydrodynamics for a large class
of attractive particle systems on $Z$ starting from an arbitrary
initial profile. We generalize earlier works by Sepp"al"ainen
(1999) and Andjel et al. (2004). Our constructive approach requires
new ideas since the subadditive ergodic theorem (central to previous
works) is no longer effective in our setting.
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