Strong hydrodynamic limit for attractive particle systems on Z
Probability
2010-11-09 v2 Mathematical Physics
math.MP
Abstract
We prove almost sure Euler hydrodynamics for a large class of attractive particle systems on 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.
Keywords
Cite
@article{arxiv.0804.2345,
title = {Strong hydrodynamic limit for attractive particle systems on Z},
author = {C. Bahadoran and H. Guiol and K. Ravishankar and E. Saada},
journal= {arXiv preprint arXiv:0804.2345},
year = {2010}
}
Comments
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