Abstract:
Mori's technique of projection operators is used as the basis for a consistent separation
from the microscopic expressions of secular contributions associated with the densities
of conserved quantities. Additional conserved quantities that are quadratic combinations
of the ordinary hydrodynamic variables are added to Mori's scheme. This makes it possible
to go beyond linear processes. In contrast to Kawasaki's equations, the results obtained
here agree with ordinary linear hydrodynamics. Boundary conditions of retarded type are
introduced into Mori's equations, which render them translationally invariant with respect
to the time.
Citation:
L. Ts. Adzhemyan, F. M. Kuni, T. Yu. Novozhilova, “Nonlinear generalization of Mori's method of projection operators”, TMF, 18:3 (1974), 383–392; Theoret. and Math. Phys., 18:3 (1974), 274–280
This publication is cited in the following 5 articles:
V. A. Krivorol, M. Yu. Nalimov, “Kinetic coefficients in a time-dependent Green's function formalism at finite temperature”, Theoret. and Math. Phys., 213:3 (2022), 1774–1788
S. V. Tishchenko, “Construction of generalized hydrodynamics by the nonequilibrium statistical operator method”, Theoret. and Math. Phys., 26:1 (1976), 62–69
L. Ts. Adzhemyan, F. M. Kuni, “Noncumulant projection and elimination of time derivatives from the nonequilibrium distribution function”, Theoret. and Math. Phys., 24:3 (1975), 895–904
A. I. Sherstyuk, “Determination of closed expressions for the perturbation theory corrections to the wave functions of bound states by means of a Sturm function expansion”, Theoret. and Math. Phys., 21:2 (1974), 1097–1104
F. M. Kuni, “Statistical theory of viscoelastic properties of fluids”, Theoret. and Math. Phys., 21:2 (1974), 1105–1115
Citation in format AMSBIB
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