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28 March 2024
 
  » arxiv » math.PR/0505090

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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
AbstractIt 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
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