Modification of Fick's Law

Modification of Fick's Law

In the presence of long-time memory effects, Fick's law must be modified by replacing the diffusion coefficient by a convolution over time of the velocity autocorrelation function. This leads to a convergent Chapman-Enskog expansion in a fluid provided the proper reference frame is taken in the...

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Veröffentlicht in:Phys. Rev. Lett.; (United States) 1979-09, Vol.43 (10), p.653-656
Hauptverfasser: Alley, W. E., Alder, B. J.
Format: Artikel
Sprache:eng
Schlagworte:
640410 - Fluid Physics- General Fluid Dynamics
ASYMPTOTIC SOLUTIONS
CHAPMAN-ENSKOG THEORY
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATION FUNCTIONS
DISTRIBUTION FUNCTIONS
FICK LAWS
FLUID MECHANICS
FLUIDS
FUNCTIONS
HYDRODYNAMICS
MECHANICS
STOCHASTIC PROCESSES
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Zusammenfassung:In the presence of long-time memory effects, Fick's law must be modified by replacing the diffusion coefficient by a convolution over time of the velocity autocorrelation function. This leads to a convergent Chapman-Enskog expansion in a fluid provided the proper reference frame is taken in the presence of hydrodynamic motion.
ISSN:0031-9007
DOI:10.1103/PhysRevLett.43.653