dc.contributor.author | Landim, Claudio | |
dc.contributor.author | Ramírez, José A. | |
dc.contributor.author | Yau, Horng-Tzer | |
dc.date.accessioned | 2017-05-18T17:30:32Z | |
dc.date.issued | 2005 | |
dc.identifier.citation | Landim, Claudio, José A. Ramírez, and Horng-Tzer Yau. 2005. “Superdiffusivity of Two Dimensional Lattice Gas Models.” Journal of Statistical Physics 119 (5-6) (June): 963–995. doi:10.1007/s10955-005-4297-1. | en_US |
dc.identifier.issn | 0022-4715 | en_US |
dc.identifier.uri | http://nrs.harvard.edu/urn-3:HUL.InstRepos:32706722 | |
dc.description.abstract | 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 t)1/2. 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. | en_US |
dc.description.sponsorship | Mathematics | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | Springer Nature | en_US |
dc.relation.isversionof | doi:10.1007/s10955-005-4297-1 | en_US |
dc.relation.hasversion | https://arxiv.org/abs/math/0505090 | en_US |
dash.license | LAA | |
dc.subject | Hydrodynamic limit | en_US |
dc.subject | second class particle | en_US |
dc.subject | superdiffusivity | en_US |
dc.title | Superdiffusivity of Two Dimensional Lattice Gas Models | en_US |
dc.type | Journal Article | en_US |
dc.description.version | Accepted Manuscript | en_US |
dc.relation.journal | Journal of Statistical Physics | en_US |
dash.depositing.author | Yau, Horng-Tzer | |
dc.date.available | 2017-05-18T17:30:32Z | |
dc.identifier.doi | 10.1007/s10955-005-4297-1 | * |
dash.contributor.affiliated | Yau, Horng-Tzer | |