Quantum thermodynamics of nonequilibrium. Onsager reciprocity and dispersion-dissipation relations
A generalized Onsager reciprocity theorem emerges as an exact consequence of the structure of the nonlinear equation of motion of quantum thermodynamics and is valid for all the dissipative nonequilibrium states, close and far from stable thermodynamic equilibrium, of an isolated system composed of a single constituent of matter with a finite-dimensional Hilbert space. In addition, a dispersion-dissipation theorem results in a precise relation between the generalized dissipative conductivity that describes the mutual interrelation between dissipative rates of a pair of observables and the codispersions of the same observables and the generators of the motion. These results are presented together with a review of quantum thermodynamic postulates and general results.
- Research Organization:
- Massachusetts Institute of Technology, Cambridge
- OSTI ID:
- 5931030
- Journal Information:
- Found. Phys.; (United States), Vol. 17:4
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
IRREVERSIBLE PROCESSES
ONSAGER RELATIONS
QUANTUM MECHANICS
THERMODYNAMICS
BOSE-EINSTEIN GAS
DISPERSIONS
EQUATIONS OF MOTION
EQUILIBRIUM
FERMI GAS
HEAT LOSSES
HILBERT SPACE
MATHEMATICAL MANIFOLDS
PARTICLE MODELS
QUANTUM OPERATORS
THERMAL CONDUCTIVITY
BANACH SPACE
DIFFERENTIAL EQUATIONS
ENERGY LOSSES
EQUATIONS
FLUIDS
GASES
LOSSES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
SPACE
THERMODYNAMIC PROPERTIES
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics