Resummed Green-Kubo relations for a fluctuating fluid-particle model

Details Resummed Green-Kubo relations for a fluctuating fluid-particle model Resummed Green-Kubo relations for a fluctuating fluid-particle model

2004-04-13

arxiv.org/abs/cond-mat/0404305v1

Phys. Rev. E 70, 035701(R) (2004).

Physics

Condensed Matter

Soft Condensed Matter

4 pages including 4 figures, submitted to PRE Rapid Comm

Scientific paper

10.1103/PhysRevE.70.035701

A recently introduced stochastic model for fluid flow can be made Galilean invariant by introducing a random shift of the computational grid before collisions. This grid shifting procedure accelerates momentum transfer between cells and leads to a collisional contribution to transport coefficients. By resumming the Green-Kubo relations derived in a previous paper, it is shown that this collisional contribution to the transport coefficients can be determined exactly. The resummed Green-Kubo relations also show that there are no mixed kinetic-collisional contributions to the transport coefficients. The leading correlation corrections to the transport coefficients are discussed, and explicit expressions for the transport coefficients are presented and compared with simulation data.

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