| Autor: |
Stefano Olla, Claudio Landim, Srinivasa R. S. Varadhan |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Stochastic Analysis on Large Scale Interacting Systems, T. Funaki and H. Osada, eds. (Tokyo: Mathematical Society of Japan, 2004) |
| ISSN: |
0920-1971 |
| DOI: |
10.2969/aspm/03910307 |
| Popis: |
We consider the asymmetric simple exclusion process in dimension d 3. We review some results concerning the equilibrium bulk uctuations and the asymptotic behaviour of a second class particle. x1. Introduction The asymmetric simple exclusion process is the simplest model of a driven lattice gas. This model is given by the dynamics of innitely many particles moving on Z d as asymmetric random walks with an exclusion rule: when a particle attempts to jump on a site occupied by another particle the jump is suppressed. Of course we consider initial congurations where there is at most one particle per site. We denote the congurations by 2 f0; 1g Z d so that (x) = 1 if site x is occupied for the conguration and (x) = 0 if site x is empty. The number of particles is conserved and the Bernoulli product measures f ; 2 [0; 1]g are the ergodic invariant measures. Rezakhanlou, in [11], proved that the empirical eld of particles, after a hyperbolic rescaling of space and time by a parameter |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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