In the particular model of a zero range jump process in equilibrium, the asymptotic covariances of the--spatially and temporally rescaled--particle number field are computed. The main tool in that computation is a general theorem, whose validity is established for the given class of processes, which states that the asymptotic behaviour of the covariances of any field corresponding to a local function is determined by a suitable projection of that field on the linear (here one-dimensional) space spanned by the fields of conserved quantities (here: the particle number).
Publié le : 1984-08-14
Classification:
Zero range jump process,
equilibrium fluctuations,
field of local functions,
conserved quantities,
bulk diffusion coefficient,
60K35,
80A20
@article{1176993225,
author = {Brox, Th. and Rost, H.},
title = {Equilibrium Fluctuations of Stochastic Particle Systems: The Role of Conserved Quantities},
journal = {Ann. Probab.},
volume = {12},
number = {4},
year = {1984},
pages = { 742-759},
language = {en},
url = {http://dml.mathdoc.fr/item/1176993225}
}
Brox, Th.; Rost, H. Equilibrium Fluctuations of Stochastic Particle Systems: The Role of Conserved Quantities. Ann. Probab., Tome 12 (1984) no. 4, pp. 742-759. http://gdmltest.u-ga.fr/item/1176993225/