On the quasithermodynamic theory of magnetic relaxation

Buishvili, L. L.; Zviadadze, M. D.

doi:10.1016/0031-8914(72)90098-5

Cited by 21 publications

(3 citation statements)

References 8 publications

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“…Such contractions are then determined by the spectrum of relaxation times of the system under consideration. Illustrative examples involving the case of spin relaxation is given in reference [127], and for the case of the highly photoexcited plasma in semiconductors in [128].…”

Section: Nonequilibrium Statistical Operator Methodsmentioning

confidence: 99%

On the Statistical Foundations of Irreversible Thermodynamics

Luzzi

Vasconcellos

Ramos

1999

Fortschritte der Physik

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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.

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Section: Nonequilibrium Statistical Operator Methodsmentioning

confidence: 99%

On the Statistical Foundations of Irreversible Thermodynamics

Luzzi

Vasconcellos

Ramos

1999

Fortschritte der Physik

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“…Unless the system is extremely non-uniform (as in a shock wave) dynamical variables satisfying such equations may be expected to change with time much more slowly than an arbitrary dynamical variable. This criterion for choosing the macroscopic variables is used in the non-equilibrium statistical operator method (Zubarev andKalashnikov 1970, Buishvili andZviadadze 1972), though the necessity of such a choice has been challenged by Kadyrov and Shaposhnikov (1976).…”

Section: Vt( Po) = Ptmentioning

confidence: 99%

Foundations of statistical mechanics

1979

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This article reviews developments in the foundations of statistical mechanics during the past ten years or so. The first section discusses how statistical concepts enter the treatment of deterministic mechanical systems, with particular reference to trajectory instabilities and to the KAM theorem. The second section deals with large systems: the thermodynamic limit and the theory of infinite systems. The third section deals with non-equilibrium statistical mechanics. Relativistic statistical mechanics is not covered. The bibliography contains about 500 references. This review was received in March 1979. Contents 1. Probability and mechanics . 1.1. The Gibbs ensemble . 1.2. Ergodicity and mixing . 1.3. Trajectory instabilities , 1.4. The KAM theorem and the stochastic transition 1.5. Quantum Gibbs ensembles 2.1. The connection with thermodynamics 2.2. Infinite systems . 3.1. Non-equilibrium ensembles 3.2. Dilute gases . 3.3. Master equations . 3.4. Cells and macroscopic variables 3.5. Non-equilibrium entropy . 3.6. Non-Hamiltonian dynamics and open systems Acknowledgments . References . 2. Large systems . . 3. Non-equilibrium statistical mechanics .

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“…Let ∆ * , ∆ 1 and ∆ CR be the widths of the inhomogeneous line form, the hole burned therein, and the CR line form, respectively. Usually the following condition holds [7]:…”

Section: Notations and Approximationsmentioning

confidence: 99%