Diffusive Transport Enhanced by Thermal Velocity Fluctuations

Details Diffusive Transport Enhanced by Thermal Velocity Fluctuations Diffusive Transport Enhanced by Thermal Velocity Fluctuations

2011-03-29

arxiv.org/abs/1103.5532v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

To appear in Phys. Rev. Lett., 2011

Scientific paper

We study the contribution of advection by thermal velocity fluctuations to the effective diffusion coefficient in a mixture of two indistinguishable fluids. The enhancement of the diffusive transport depends on the system size L and grows as \ln(L/L_0) in quasi two-dimensional systems, while in three dimensions it scales as L_0^{-1}-L^{-1}, where L_0 is a reference length. The predictions of a simple fluctuating hydrodynamics theory are compared to results from particle simulations and a finite-volume solver and excellent agreement is observed. Our results conclusively demonstrate that the nonlinear advective terms need to be retained in the equations of fluctuating hydrodynamics when modeling transport in small-scale finite systems.

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