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Superdiffusivity of two dimensional lattice gas models | C. Landim
; J. A. Ramirez
; H.-T. Yau
; | Date: |
5 May 2005 | Subject: | Probability | math.PR | Abstract: | It was proved cite{EMYa, QY} that stochastic lattice gas dynamics converge to the Navier-Stokes equations in dimension $d=3$ in the incompressible limits. In particular, the viscosity is finite. We proved that, on the other hand, the viscosity for a two dimensional lattice gas model diverges faster than $log log t$. Our argument indicates that the correct divergence rate is $(log t)^{1/2}$. This problem is closely related to the logarithmic correction of the time decay rate for the velocity auto-correlation function of a tagged particle. | Source: | arXiv, math.PR/0505090 | Services: | Forum | Review | PDF | Favorites |
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