Conservation of Local Equilibrium for Attractive Particle Systems on $Z^d$
Landim, C.
Ann. Probab., Tome 21 (1993) no. 4, p. 1782-1808 / Harvested from Project Euclid
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We prove conservation of local equilibrium for attractive particle systems. Our method applies as well to gradient asymmetric processes with mean drift 0 under diffusive $(N^2)$ rescaling. The hydrodynamical behavior is proved for bounded continuous initial profiles under Euler $(N)$ rescaling and for bounded a.s. continuous profiles under diffusive rescaling. We prove that, for attractive systems, the conservation of local equilibrium follows from a law of large numbers for the density field.
Publié le : 1993-10-14
Classification:  Particle systems,  local equilibrium,  hydrodynamical behavior,  60K35 
@article{1176989000,
     author = {Landim, C.},
     title = {Conservation of Local Equilibrium for Attractive Particle Systems on $Z^d$},
     journal = {Ann. Probab.},
     volume = {21},
     number = {4},
     year = {1993},
     pages = { 1782-1808},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176989000}
}

Landim, C. Conservation of Local Equilibrium for Attractive Particle Systems on $Z^d$. Ann. Probab., Tome 21 (1993) no. 4, pp.  1782-1808. http://gdmltest.u-ga.fr/item/1176989000/