Nonlinear Dynamical Equation for Irreversible, Steepest-Entropy-Ascent Relaxation to Stable Equilibrium

Journal Article · Mon Dec 03 00:00:00 EST 2007 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2827308· OSTI ID:21039498

Beretta, Gian Paolo ^[1]

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1. Dipartimento di Ingegneria Meccanica, Universita degli Studi di Brescia, via Branze 38, 25123 Brescia (Italy)

We discuss the structure and main features of the nonlinear evolution equation proposed by this author as the fundamental dynamical law within the framework of Quantum Thermodynamics. The nonlinear equation generates a dynamical group providing a unique deterministic description of irreversible, conservative relaxation towards equilibrium from any non-equilibrium state, and satisfies a very restrictive stability requirement equivalent to Hatsopoulos-Keenan statement of the second law of thermodynamics. Here, we emphasize its mathematical structure and its applicability also within other contexts, such as Classical and Quantum Statistical Mechanics, and Information Theory.

• OSTI ID: 21039498
• Journal Information: AIP Conference Proceedings, Vol. 962, Issue 1; Conference: QTRF4: 4. conference on quantum theory: Reconsideration of foundations - 4, Vaexjoe (Sweden), 11-16 Jun 2007; Other Information: DOI: 10.1063/1.2827308; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DYNAMICAL GROUPS
ENTROPY
EQUILIBRIUM
INFORMATION THEORY
NONLINEAR PROBLEMS
QUANTUM MECHANICS
RELAXATION
THERMODYNAMICS