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A nonlinear quantum transport theory

Author

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  • Lauck, Leonardo
  • Vasconcellos, Áurea R.
  • Luzzi, Roberto

Abstract

A nonlinear quantum transport theory for many-body systems arbitrarily far away from equilibrium, based on the nonequilibrium statistical operator method, is discussed. An iterative process is described that allows for the calculation of the collision operator in a series of instantaneous in time partial contributions of ever increasing power in the interaction strengths. These partial collision operators are shown to be composed of three contributions to the dissipative processes: one is a direct result of the collisions, another is accounted for in the internal state variables, and the third arises from memory effects. In the lowest order, the so-called linear theory of relaxation, the equations become Markovian.

Suggested Citation

  • Lauck, Leonardo & Vasconcellos, Áurea R. & Luzzi, Roberto, 1990. "A nonlinear quantum transport theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(2), pages 789-819.
    • Handle: RePEc:eee:phsmap:v:168:y:1990:i:2:p:789-819
    DOI: 10.1016/0378-4371(90)90031-M
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    Cited by:

    1. Luzzi, Roberto & Vasconcellos, Aurea R., 1997. "The basic principles of irreversible thermodynamics in the context of an informational-statistical approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(3), pages 677-703.
    2. Vasconcellos, Áurea Rosas & Luzzi, Roberto & García-Colin, Leopoldo S., 1995. "Response function theory for thermal perturbations in informational statistical thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(4), pages 478-494.
    3. Hassan, Sergio A. & Vasconcellos, Aurea R. & Luzzi, Roberto, 1997. "Informational-statistical thermodynamics of a dissipative system in a steady state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(3), pages 345-368.

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