zbMATH — the first resource for mathematics

Two-time temperature Green’s functions in kinetic theory and molecular hydrodynamics. II: Equations for pair-interaction systems. (English. Russian original) Zbl 0942.82028
Theor. Math. Phys. 119, No. 1, 511-531 (1999); translation from Teor. Mat. Fiz. 119, No. 1, 142-166 (1999).
Summary: Part I (cf. the preceding review Zbl 0942.82026). Here the author considers two approaches to the calculation of correlation functions for a system of particles with direct pair interaction. The first is based on a chain of equations that determines a Boltzmann-type kinetic equation; the second is based on a chain on molecular hydrodynamic equations. He demonstrates that the two approaches are equivalent in the sense that they completely describe the system under consideration. He discusses the advantages of the approach based on the molecular hydrodynamic equations.

82C40 Kinetic theory of gases in time-dependent statistical mechanics
PDF BibTeX Cite
Full Text: DOI
[1] Yu. A. Tserkovnikov,Theor. Math. Phys.,118, 85 (1999). · Zbl 0942.82026
[2] J. P. Boon and S. Yip,Molecular Hydrodynamics, McGraw-Hill, New York (1980).
[3] Yu. A. Tserkovnikov,Theor. Math. Phys.,63, 619 (1985).
[4] Yu. A. Tserkovnikov,Theor. Math. Phys.,85, 1096 (1990);85, 1192 (1990).
[5] H. W. Wyld Jr. and B. D. Fried,Ann. Phys.,23, 374 (1963). · Zbl 0129.22102
[6] S. Chapman and T. G. Cowling,The Mathematical Theory of Nonuniform Gases: An Account of the Kinetic Theory of Viscosity, Thermal Conduction, and Diffusion in Gases, Cambridge Univ. Press, Cambridge (1952). · Zbl 0049.26102
[7] I. M. de Schepper, E. G. D. Cohen, C. Buin, et al.,Phys. Rev. A,38, 271 (1988).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.