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Kinetic equation for liquids with a multistep potential of interaction. H-theorem

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  • Omelyan, I.P.
  • Tokarchuk, M.V.

Abstract

A new kinetic equation for dense gases and liquids with the interparticle potential of interaction in a form of the multistep function is proposed. The equation is consistently derived on the basis of Zubarev's nonequilibrium statistical operator method using a modification for weakening correlations principle which takes into account local conservation laws. In particular cases this equation coincides with the well known kinetic equations for hard-sphere and square-well potentials. Application of the obtained kinetic equation to real systems is discussed. A proof of a global H-theorem is given.

Suggested Citation

  • Omelyan, I.P. & Tokarchuk, M.V., 1996. "Kinetic equation for liquids with a multistep potential of interaction. H-theorem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 89-107.
    • Handle: RePEc:eee:phsmap:v:234:y:1996:i:1:p:89-107
    DOI: 10.1016/S0378-4371(96)00286-5
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    References listed on IDEAS

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    1. Green, Constance McLaughlin, 1946. "Timing a Century: History of the Waltham Watch Company. By Charles W. Moore. [Harvard Studies in Business History, XI. Edited by N. S. B. Gras.] Cambridge: Harvard University Press, 1945. Pp. xxxiv, 3," The Journal of Economic History, Cambridge University Press, vol. 6(2), pages 207-209, November.
    2. Castillo, R. & Orozco, J.V., 1990. "The thermal conductivity of dense fluids and their mixtures using the effective diameter revised enskog theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 166(3), pages 505-516.
    3. Morozov, V.G., 1984. "On the Langevin formalism for nonlinear and nonequilibrium hydrodynamic fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 126(3), pages 443-460.
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