Abstract.
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 Y N t converges to a generalized Ornstein–Uhlenbeck process, which is formally the solution of the stochastic differential equatin dY t = ?Y t dt + dB ∇ t , where ? is a second order differential operator and B ∇ t is a mean zero Gaussian field with known covariances.
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Received: 31 May 1999 / Revised version: 15 June 2000 / Published online: 24 January 2001
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Chang, CC., Landim, C. & Olla, S. Equilibrium fluctuations of asymmetric simple exclusion processes in dimension d≥3. Probab Theory Relat Fields 119, 381–409 (2001). https://doi.org/10.1007/PL00008764
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DOI: https://doi.org/10.1007/PL00008764