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Response function theory for thermal perturbations in informational statistical thermodynamics

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  • Vasconcellos, Áurea Rosas
  • Luzzi, Roberto
  • García-Colin, Leopoldo S.

Abstract

In the context of a microscopic approach to phenomenological irreversible thermodynamics, based upon nonequilibrium mechano-statistical foundations, we consider here questions related to the response of many-body nonequilibrium systems to thermal perturbations arising out of inhomogenities in the medium. We present a general theory of the resulting transport phenomena which is nonlocal in space and memory dependent. The limit of the local in space and instantaneous in time approximations is also considered and discussed. Propagation of damped waves is evidenced in equations of the Maxwell-Cattaneo type, which are generalizations of the diffusion-like equations of classical irreversible thermodynamics. A particular example of application of the theory is presented in the follow up article.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:221:y:1995:i:4:p:478-494
    DOI: 10.1016/0378-4371(95)00191-9
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    References listed on IDEAS

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    1. 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.
    2. Vasconcellos, Áurea Rosas & Luzzi, Roberto & García-Colin, Leopoldo S., 1995. "Diffusion and mobility and generalized Einstein relation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(4), pages 495-510.
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    1. Vasconcellos, Áurea Rosas & Luzzi, Roberto & García-Colin, Leopoldo S., 1995. "Diffusion and mobility and generalized Einstein relation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(4), pages 495-510.

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    1. 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.
    2. 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.

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