Strong hydrodynamic limit for attractive particle systems on Z

Abstract

We prove almost sure Euler hydrodynamics for a large class of attractive particle systems on $\mathbb{Z}$ starting from an arbitrary initial profile. We generalize earlier works by Seppäläinen (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.

55 pages, LaTeX2e, corrected misprints, new title, revised abstract and introduction, references added. Mistakes in section 3 of the previous version corrected: to do so a few new arguments have been added

Cited by in corpus (1)

• Coupling, Attractiveness and Hydrodynamics for Conservative Particle Systems