Abstract:
The method of nonequilibrium statistical operator is applied to investigate irreversible processes
in statistical systems whose internal degrees of freedom interact weakly with the external
degrees of freedom. It is assumed that the internal degrees of freedom are in a state
of strong equilibrium and the external degrees of freedom are approaching local equilibrium
expressed by the local temperature and mass velocity. A kinetic equation has been obtained
for the internal degrees of freedom; it is interrelated with the system of hydrodynamic equations
describing the evolution of the external degrees of freedom. By using correlation functions,
relationships have been obtained for the collision integral and for the coefficients connecting
both the kinetic and the hydrodynamic equations. Also the linear approximation has been
considered for which the equations obtained coincide with those of the phenomenological relaxational hydrodynamics.
Citation:
L. A. Pokrovskii, “Application of the nonequilibrium statistical operator to the derivation of equations of relaxational nonlinear hydrodynamics (part I)”, TMF, 2:1 (1970), 103–116; Theoret. and Math. Phys., 2:1 (1970), 78–88
This publication is cited in the following 8 articles:
S. I. Shevchenko, A. S. Rukin, “Two approaches to the description of dilute superfluid Bose systems”, Low Temperature Physics, 38:10 (2012), 905
L. A. Pal'tsev, “Vibrational and rotational relaxation in a moderately dense gas. I”, Theoret. and Math. Phys., 77:3 (1988), 1289–1298
L. A. Pal'tsev, “Relaxation processes in multiatomic gases. I”, Theoret. and Math. Phys., 66:2 (1986), 199–207
L. A. Pal'tsev, “Nonequilibrium processes in moderately dense multiatomic gases. I”, Theoret. and Math. Phys., 50:3 (1982), 280–288
V. A. Savchenko, “Statistical derivation of equations of multifluid hydrodynamics”, Theoret. and Math. Phys., 22:1 (1975), 86–93
L. A. Pal'tsev, “Gas-dynamic equations involving vibrational relaxation”, J Appl Mech Tech Phys, 13:4 (1974), 437
L. A. Pokrovskii, “Derivation of the equations of nonlinear relaxational hydrodynamics by the nonequilibrium statistical operator method. II”, Theoret. and Math. Phys., 3:1 (1971), 408–418
D. N. Zubarev, “Boundary conditions for statistical operators in the theory of nonequilibrium processes and quasiaverages”, Theoret. and Math. Phys., 3:2 (1970), 505–512
Citation in format AMSBIB
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