Statistical theory of viscoelastic properties of fluids
Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 2, pp. 233-246
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Mori's method of projection operators is used to derive equations for the mass density, momentum density, and momentum-current density. By means of Bogolyubov's condition of
correlation weakening, averaged equations (in the linear approximation in the amplitude deviations from equilibrium) of causal-retarded nature are obtained. Unlike the previously known
equations, space and time dispersiou are taken into account in these equations completely.
Symmetry relations are established for the transport coefficients. It is shown that if space
and time dispersion are ignored, the equations go over into the usual Maxwell theologic
equations for the stress-tensor deviator and the relaxation pressure. Rigorous microscopic
expressions are obtained for the times of shear relaxation and pressure relaxation;
these differ from the ones found previously by nonrigorous application of the Chapman–Enskog procedure for the elimination of the time derivatives. Rigorous microscopic expressions
are also obtained for the shear and bulk moduli of viscous fluids.
@article{TMF_1974_21_2_a8,
author = {F. M. Kuni},
title = {Statistical theory of viscoelastic properties of fluids},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {233--246},
publisher = {mathdoc},
volume = {21},
number = {2},
year = {1974},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1974_21_2_a8/}
}
F. M. Kuni. Statistical theory of viscoelastic properties of fluids. Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 2, pp. 233-246. http://geodesic.mathdoc.fr/item/TMF_1974_21_2_a8/