Áurea R. Vasconcellos

TL;DR: In this article, a nonlinear quantum transport theory for many-body systems arbitrarily far away from equilibrium, based on the nonequilibrium statistical operator method, is discussed, and 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.

TL;DR: In this article, Maxent-Nesom-based Kinetic Theory is used for dissipative processes in open systems and nonequilibrium generalized grand-canonical ensembles.

TL;DR: In this paper, the applicability of the Nonequilibrium Statistical Operator Method (NSOM) for the study of dissipative dynamic systems far from equilibrium is discussed, which can be encompassed by a unifying variational principle, which produces a large family of NSO that contains existing examples as particular cases.

TL;DR: In this article, the authors consider the non-equilibrium statistical operator method for the treatment of phenomena at the macroscopic level, based on a microscopic molecular description in the context of a nonequilibrium ensemble formalism and draw attention to the fact that this method may be considered to be emcompassed within predictive statistical mechanics and based on the principle of maximization of informational entropy.

Abstract: We briefly, and partially, consider aspects of the present status of phenomenological irreversible thermodynamics and nonequilibrium statistical mechanics. After short comments on Classical Irreversible Thermodynamics, its conceptual and practical shortcomings are pointed out, as well as the efforts undertaken to go beyond its limits, consisting of particular approaches to a more general theory of Irreversible Thermodynamics. In particular, a search for statistical-mechanical foundations of Irreversible Thermodynamics, namely, the construction of a statistical thermodynamics, are based on the Non-equilibrium Statistical Operator Method. This important theory for the treatment of phenomena at the macroscopic level, is based on a microscopic molecular description in the context of a nonequilibrium ensemble formalism. We draw attention to the fact that this method may be considered to be emcompassed within Jaynes' Predictive Statistical Mechanics and based on the principle of maximization of informational entropy. Finally, we describe how, in fact, the statistical method provides foundations to phenomenological irreversible thermodynamics, thus giving rise to what can be referred to as Informational Statistical Thermodynamics.