https://scholars.lib.ntu.edu.tw/handle/123456789/31324
標題: | Equilibrium fluctuations of asymmetric simple exclusion processes in dimension d≥3 | 作者: | Chang, Chih-Chung Landim, Claudio Olla, Stefano |
關鍵字: | Asymmetric exclusion processes; Equilibrium fluctuations; Hydrodynamic limit | 公開日期: | 2001 | 起(迄)頁: | - | 來源出版物: | Probability Theory and Related Fields | 摘要: | We consider an asymmetric exclusion process in dimension d ≥ 3 under diffusive rescaling starting from the Bernoulli product measure with density 0 < α < 1. We prove that the density fluctuation field YNt converges to a generalized Ornstein-Uhlenbeck process, which is formally the solution of the stochastic differential equation dYt = Script A signYtdt + dB∇t, where Script A sign is a second order differential operator and B∇t is a mean zero Gaussian field with known covariances. |
URI: | http://ntur.lib.ntu.edu.tw//handle/246246/184047 https://www.scopus.com/inward/record.uri?eid=2-s2.0-0035635290&doi=10.1007%2fPL00008764&partnerID=40&md5=e78ba1bf09879dd30f2a3b0e6aaec75b |
ISSN: | 01788051 | DOI: | 10.1007/PL00008764 |
顯示於: | 數學系 |
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