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Quantum kinetic equation for nonequilibrium dense systems

Author

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  • Morozov, V.G.
  • Röpke, G.

Abstract

Using the density matrix method in the form developed by Zubarev, equations of motion for nonequilibrium quantum systems with continuous short range interactions are derived which describe kinetic and hydrodynamic processes in a consistent way. The T-matrix as well as the two-particle density matrix determining the nonequilibrium collision integral are obtained in the ladder approximation including the Hartree-Fock corrections and the Pauli blocking for intermediate states. It is shown that in this approximation the total energy is conserved. The developed approach to the kinetic theory of dense quantum systems is able to reproduce the virial corrections consistent with the generalized Beth-Uhlenbeck approximation in equilibrium. The contribution of many-particle correlations to the drift term in the quantum kinetic equation for dense systems is discussed.

Suggested Citation

  • Morozov, V.G. & Röpke, G., 1995. "Quantum kinetic equation for nonequilibrium dense systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(4), pages 511-538.
    • Handle: RePEc:eee:phsmap:v:221:y:1995:i:4:p:511-538
    DOI: 10.1016/0378-4371(95)00234-2
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    References listed on IDEAS

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    1. Santana, Ademir E. & Matos Neto, A. & Vianna, J.D.M., 1989. "A generalized Vlasov equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 160(3), pages 471-481.
    2. 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.
    3. Trieb, Sykes E., 1969. "Getting Food Distribution Research Applied In The 1970'S: The University Role," Journal of Food Distribution Research, Food Distribution Research Society, vol. 1(1), pages 1-3.
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