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Spontaneous creation of dissipation in thermo field dynamics and its examples

Author

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  • Arimitsu, T.
  • Umezawa, H.
  • Yamanaka, Y.
  • Papastamatiou, N.J.

Abstract

This article reviews the formulation of the self-consistent renormalization method in thermo field dynamics and the way this can lead to the spontaneous creation of dissipation in an isolated system. The general theory is illustrated by an explicit solution of a model of a system interacting with a reservoir, and is also applied to a relativistic self-interacting scalar model. The appearance of dissipation is shown. We also compare thermo field dynamics with the path-ordering formalism of Schwinger and Keldysh and the Liouville equation formalism.

Suggested Citation

  • Arimitsu, T. & Umezawa, H. & Yamanaka, Y. & Papastamatiou, N.J., 1988. "Spontaneous creation of dissipation in thermo field dynamics and its examples," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(1), pages 27-45.
    • Handle: RePEc:eee:phsmap:v:148:y:1988:i:1:p:27-45
    DOI: 10.1016/0378-4371(88)90132-X
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    Citations

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    Cited by:

    1. Arimitsu, Toshihico, 1988. "Kinetic equations within the formalism of non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(3), pages 427-455.
    2. Arimitsu, T. & Willeboordse, H.F. & Iwasaki, T., 1992. "An analytical treatment of a localized electronphonon system in terms of non-equilibrium thermo field dynamics: Intensity distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(1), pages 214-227.
    3. Tominaga, T. & Arimitsu, T. & Pradko, J. & Umezawa, H., 1988. "A derivation of the laser master equation in terms of thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(1), pages 97-117.
    4. Nakamura, K. & Yamanaka, Y. & Umezawa, H., 1988. "Linear response in non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(1), pages 29-50.
    5. Arimitsu, T. & Ban, M. & Saito, T., 1991. "Stochastic Liouville equation approach within non-equilibrium thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 329-338.
    6. Tominaga, T. & Ban, M. & Arimitsu, T. & Pradko, J. & Umezawa, H., 1988. "Spin relaxation in terms of thermo field dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(1), pages 26-48.

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