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Nonlocal hydrodynamics and dispersion of transport coefficients in simple fluid

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  • Morozov, V.G.

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.

Suggested Citation

  • Morozov, V.G., 1983. "Nonlocal hydrodynamics and dispersion of transport coefficients in simple fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(2), pages 511-530.
    • Handle: RePEc:eee:phsmap:v:117:y:1983:i:2:p:511-530
    DOI: 10.1016/0378-4371(83)90129-2
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    1. Dorfman, Robert, 1976. "Vindication of a "Common Mistake" in Welfare Economics: Rejoinder," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1365-1366, December.
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