The Annals of Probability

Equilibrium Fluctuations of Stochastic Particle Systems: The Role of Conserved Quantities

Th. Brox and H. Rost

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Abstract

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).

Article information

Source
Ann. Probab., Volume 12, Number 3 (1984), 742-759.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aop/1176993225

Digital Object Identifier
doi:10.1214/aop/1176993225

Mathematical Reviews number (MathSciNet)
MR744231

Zentralblatt MATH identifier
0546.60098

JSTOR
links.jstor.org

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 80A20: Heat and mass transfer, heat flow

Keywords
Zero range jump process equilibrium fluctuations field of local functions conserved quantities bulk diffusion coefficient

Citation

Brox, Th.; Rost, H. Equilibrium Fluctuations of Stochastic Particle Systems: The Role of Conserved Quantities. Ann. Probab. 12 (1984), no. 3, 742--759. doi:10.1214/aop/1176993225. https://projecteuclid.org/euclid.aop/1176993225


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