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Название: Superdiffusivity of Two Dimensional Lattice Gas Models
Авторы: Landim C., Ramirez J.A., Yau H.-T.
Journal of Statistical Physics, Vol. 119, Nos. 5/6, June 2005. p. 963-995.
It was proved [Navier–Stokes Equations for Stochastic Particle System on the Lattice. Comm. Math. Phys. (1996) 182, 395; Lattice gases, large deviations, and the incompressible Navier–Stokes equations. Ann. Math. (1998) 148, 51] 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...