Large deviations from a kinetic limit
Rezakhanlou, Fraydoun
Ann. Probab., Tome 26 (1998) no. 1, p. 1259-1340 / Harvested from Project Euclid
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We study a one-dimensional particle system in which particles travel deterministically in between stochastic collisions. As the total number of particles tends to infinity, the empirical density converges to a solution of a discrete Boltzmann equation. We establish the large deviation principle for the convergence with a rate function that is given by a variational formula. Some of the properties of the rate function are discussed and a nonvariational expression for the rate function is given.
Publié le : 1998-07-14
Classification:  Particle systems,  discrete Boltzmann equation,  variational formula,  60K35,  82C22 
@article{1022855753,
     author = {Rezakhanlou, Fraydoun},
     title = {Large deviations from a kinetic limit},
     journal = {Ann. Probab.},
     volume = {26},
     number = {1},
     year = {1998},
     pages = { 1259-1340},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1022855753}
}

Rezakhanlou, Fraydoun. Large deviations from a kinetic limit. Ann. Probab., Tome 26 (1998) no. 1, pp.  1259-1340. http://gdmltest.u-ga.fr/item/1022855753/