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Nonlocal hydrodynamics and dispersion of transport coefficients in simple fluid

V.G. Morozov

Physica A: Statistical Mechanics and its Applications, 1983, vol. 117, issue 2, 511-530

Abstract: Nonlocal effects in hydrodynamics and the dispersion of transport coefficients associated with the nonlinear dynamics of gross fluctuations are investigated. Starting from the general expression for the hydrodynamic self-energy, we have derived the nonlocal equations for average values of gross variables and self-consistent equations for k- and ω-dependent transport coefficients. These equations are used then to discuss the spatial and frequency dispersion of heat, shear, and sound modes. The new nonlocal transport coefficient of a thermoelasticity type is found. It is shown too, that in distinction from the spatially uniform case, long-time asymptotics of transport coefficients with finite wave numbers contain the oscillating terms due to effects of “intermediate” sound modes.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:117:y:1983:i:2:p:511-530

DOI: 10.1016/0378-4371(83)90129-2

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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