Entropy production and nonequilibrium stationarity in quantum dynamical systems. Physical meaning of van Hove limit

Journal Article · Sat Jul 01 04:00:00 EDT 1989 · Journal of Statistical Physics; (USA)

DOI:https://doi.org/10.1007/BF01044241· OSTI ID:7021191

Ojima, Izumi ^[1]

---

1. Kyoto Univ. (Japan)

With aid of the so-called dilation method, a concise formula is obtained for the entropy production in the algebraic formulation of quantum dynamical systems. In this framework, the initial ergodic state of an external force system plays a pivotal role in generating dissipativity as a conditional expectation. The physical meaning of van Hove limit is clarified through the scale-changing transformation to control transitions between microscopic and macroscopic levels. It plays a crucial role in realizing the macroscopic stationary in the presence of microscopic fluctuations as well as in the transition from non-Markovian (groupoid) dynamics to Markovian dissipative processes of state changes. The extension of the formalism to cases with spatial and internal inhomogeneity is indicated in the light of the groupoid dynamical systems and noncommutative integration theory.

• OSTI ID: 7021191
• Journal Information: Journal of Statistical Physics; (USA), Journal Name: Journal of Statistical Physics; (USA) Vol. 56:1-2; ISSN 0022-4715; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

645400 -- High Energy Physics-- Field Theory
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BOUNDARY CONDITIONS
DIFFUSION
ENERGY LOSSES
ENTROPY
EQUILIBRIUM
FIELD THEORIES
FLUCTUATIONS
HAMILTONIANS
HEAT SOURCES
LOSSES
MARKOV PROCESS
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
NONLINEAR PROBLEMS
PHYSICAL PROPERTIES
PROBABILITY
PRODUCTION
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
SCALING LAWS
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
TEMPERATURE DISTRIBUTION
THERMAL DIFFUSION
THERMODYNAMIC PROPERTIES
TIME DEPENDENCE
TRANSPORT THEORY
VAN HOVE THEORY
VARIATIONS