Scaling Function for the Diffusion Coefficient of a Critical Fluid in a Finite Geometry

Details Scaling Function for the Diffusion Coefficient of a Critical Fluid in a Finite Geometry Scaling Function for the Diffusion Coefficient of a Critical Fluid in a Finite Geometry

2003-07-03

arxiv.org/abs/cond-mat/0307073v1

Physics

Condensed Matter

Statistical Mechanics

8 pages

Scientific paper

10.1103/PhysRevE.69.036116

The long wavelength diffusion coefficient of a critical fluid confined between two parallel plates separated by a distance L is strongly affected by the finite size. Finite size scaling leads us to expect that the vanishing of the diffusion coefficient as \xi^{-1} for \xi<>L. We show that this is not strictlytrue. There is a logarthmic scaling violation. We construct a Kawasaki like scaling function that connects the thermodynamic regime to the extreme critical (\xi>>L) regime.

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