%0 Journal Article %T Macroscopic stability for nonfinite range kernels %A Tom S. Mountford %A K. Ravishankar %A Ellen Saada %J Mathematics %D 2009 %I arXiv %R 10.1214/09-BJPS034 %X We extend the strong macroscopic stability introduced in Bramson & Mountford (2002) for one-dimensional asymmetric exclusion processes with finite range to a large class of one-dimensional conservative attractive models (including misanthrope process) for which we relax the requirement of finite range kernels. A key motivation is extension of constructive hydrodynamics result of Bahadoran et al. (2002, 2006, 2008) to nonfinite range kernels. %U http://arxiv.org/abs/0903.0498v2