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Quasi-equilibrium closure hierarchies for the Boltzmann equation

Author

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  • Gorban, Alexander N.
  • Karlin, Iliya V.

Abstract

In this paper, explicit method of constructing approximations (the triangle entropy method) is developed for nonequilibrium problems. This method enables one to treat any complicated nonlinear functionals that fit best the physics of a problem (such as, for example, rates of processes) as new independent variables.

Suggested Citation

  • Gorban, Alexander N. & Karlin, Iliya V., 2006. "Quasi-equilibrium closure hierarchies for the Boltzmann equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 325-364.
    • Handle: RePEc:eee:phsmap:v:360:y:2006:i:2:p:325-364
    DOI: 10.1016/j.physa.2005.07.016
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    References listed on IDEAS

    as
    1. Gorban, Alexander N. & Karlin, Iliya V., 1994. "General approach to constructing models of the Boltzmann equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 401-420.
    2. Alvarez-Romero, J.T. & García-Colín, L.S., 1996. "The foundations of informational statistical thermodynamics revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 207-228.
    3. Ilg, Patrick & Karlin, Iliya V. & Kröger, Martin & Öttinger, Hans Christian, 2003. "Canonical distribution functions in polymer dynamics. (II). Liquid-crystalline polymers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 134-150.
    4. Ilg, Patrick & Karlin, Iliya V. & Öttinger, Hans Christian, 2002. "Canonical distribution functions in polymer dynamics. (I). Dilute solutions of flexible polymers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 315(3), pages 367-385.
    5. Gorban, Alexander N. & Karlin, Iliya V., 2004. "Uniqueness of thermodynamic projector and kinetic basis of molecular individualism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(3), pages 391-432.
    Full references (including those not matched with items on IDEAS)

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