Equilibrium Fluctuations of Nongradient Reversible Particle Systems
By taking the generalized symmetric exclusion process as an example, we present a unified martingale approach to study the equilibrium fluctuations of nongradient reversible interacting particle systems. The hydrodynamic limit of the generalized symmetric exclusion process has been derived by Kipnis, Landim, and 011a. We show that the limit of the density fluctuation fields of this process is an infinite dimensional Ornstein-Uhlenbeck process.
KeywordsCovariance Lution Compressibility
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- De Masi, A, Ianiro, N., Pellegrinotti, A., Presutti, E., A survey of the hydrodynamical behavior of many-particle systems In: Lebowitz, J. L., Montroll, E. W. (eds.)Nonequilibrium phenomena II: From stochastics to hydrodynamics, pp. 123–294. Amsterdam: North-Holland 1984.Google Scholar
- Lu, Shenglin. Equilibrium fluctuations of a one dimensional nongradient Ginzburg-Landau model, To appear in Ann. Probab.Google Scholar
- Spohn, H., Large scale dynamics of interacting particles, (Texts and Monographs in Physics) Berlin, Heidelberg, New York: Springer 1991.Google Scholar
- Varadhan, S.R.S., Nonlinear diffusion limit for a system with nearest neighbor interactions II, In: Proc. Taniguchi Symp., Kyoto, 1990.Google Scholar