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On a generalized Gibbs–Boltzmann ensemble formalism for dissipative systems

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  • Madureira, Justino R.
  • Vasconcellos, Áurea R.
  • Luzzi, Roberto

Abstract

The Nonequilibrium Statistical Operator Method, constructed on the basis of a generalized Gibbs–Boltzmann ensemble formalism, is gaining prominence as an approach to problems in statistical mechanics of nonequilibrium and nonlinear (dissipative) systems. In this paper, we consider the case of a generalized nonequilibrium grand-canonical ensemble. Besides the traditional densities of energy and particle number, this construction requires the introduction of the associated nonconserving dissipative fluxes of all orders.

Suggested Citation

  • Madureira, Justino R. & Vasconcellos, Áurea R. & Luzzi, Roberto, 1998. "On a generalized Gibbs–Boltzmann ensemble formalism for dissipative systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 257(1), pages 424-428.
    • Handle: RePEc:eee:phsmap:v:257:y:1998:i:1:p:424-428
    DOI: 10.1016/S0378-4371(98)00171-X
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