Hydrodynamical Equation for Attractive Particle Systems on $\mathbb{Z}^d$
Landim, C.
Ann. Probab., Tome 19 (1991) no. 4, p. 1537-1558 / Harvested from Project Euclid
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We prove conservation of local equilibrium, away from the shock, for some attractive asymmetric particle systems on $\mathbb{Z}^d$. The method applies to a class of particle processes which includes zero-range and simple exclusion processes. The main point in the proof is to exploit attractiveness. The hydrodynamic equation obtained is a first-order nonlinear partial differential equation which presents shock waves.
Publié le : 1991-10-14
Classification:  Infinite particle systems,  hydrodynamical equations,  asymmetric zero range process,  60K35 
@article{1176990222,
     author = {Landim, C.},
     title = {Hydrodynamical Equation for Attractive Particle Systems on $\mathbb{Z}^d$},
     journal = {Ann. Probab.},
     volume = {19},
     number = {4},
     year = {1991},
     pages = { 1537-1558},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176990222}
}

Landim, C. Hydrodynamical Equation for Attractive Particle Systems on $\mathbb{Z}^d$. Ann. Probab., Tome 19 (1991) no. 4, pp.  1537-1558. http://gdmltest.u-ga.fr/item/1176990222/