Abstract:
General expressions are constructed for the two-time thermal Green's functions of the longitudinal fluctuations of the particle and energy densities in an interacting Bose system at a temperature above the critical value. The case of a weakly nonideal rarefied gas is considered in detail. The obtained expressions are of interpolation type. At wavelengths exceeding the mean-free path, they are identical to the expressions obtained in the hydrodynamic approximation, while in the limit of high frequencies and short wavelengths they reproduce the random phase approximation. Expressions are obtained for the transport coefficients in terms of the higher correlation functions that permit direct calculation of the coefficients of viscosity and thermal conductivity. At the same time, it is possible to obtain the results of Chapman–Enskog theory without recourse to solution of the Boltzmann equation.
Citation:
Yu. A. Tserkovnikov, “Molecular hydrodynamics of a weakly nonideal Bose gas.
II. Green's functions for longitudinal fluctuations of particle and energy densities”, TMF, 85:2 (1990), 258–287; Theoret. and Math. Phys., 85:2 (1990), 1192–1213
This publication is cited in the following 7 articles:
Yu. A. Tserkovnikov, “Two-Time Temperature Green's Functions in Kinetic Theory and Molecular Hydrodynamics: III. Taking the Interaction of Hydrodynamic Fluctuations into Account”, Theoret. and Math. Phys., 129:3 (2001), 1669–1693
Yu. A. Tserkovnikov, “A Chain of Equations for Two-Time Irreducible Green Functions in Molecular Hydrodynamics”, Proc. Steklov Inst. Math., 228 (2000), 274–285
Yu. A. Tserkovnikov, “Two-time temperature Green's functions in kinetic theory and molecular hydrodynamics: I. The chain of equations for the irreducible functions”, Theoret. and Math. Phys., 118:1 (1999), 85–100
Yu. A. Tserkovnikov, “Two-time temperature Green's functions in kinetic theory and molecular hydrodynamics: II. Equations for pair-interaction systems”, Theoret. and Math. Phys., 119:1 (1999), 511–531
Yu. A. Tserkovnikov, “Molecular hydrodynamics of weakly degenerate nonideal bose-gas II. Green functions and kinetic coefficients”, Theoret. and Math. Phys., 105:1 (1995), 1249–1290
Yu. A. Tserkovnikov, “Kinetic equations in the method of two-time finite-temperature Green's functions. I. Renormalization of the collision integral”, Theoret. and Math. Phys., 96:3 (1993), 1013–1026
Yu. A. Tserkovnikov, “Molecular hydrodynamics of degenerate weakly nonideal bose gas. I. Generalized equations of two-fluid hydrodynamics”, Theoret. and Math. Phys., 93:3 (1992), 1367–1402
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