Irreversibility paradox revised: onset of a center manifold in dissipative systems
Journal Article
·
· Int. J. Theor. Phys.; (United States)
A center-manifold-reduced Fokker-Planck equation is derived, starting from a time-reversible Liouville equation. The derivation is valid when there is a large separation of relaxation-time scales causing the phase-space contraction near a dynamic critical point. The paradox of breaking of time-reversal symmetry in the resulting Fokker-Planck equation at the onset of the center manifold is clarified.
- Research Organization:
- Princeton Univ., NJ (USA)
- OSTI ID:
- 6448387
- Journal Information:
- Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 27:6; ISSN IJTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN-VLASOV EQUATION
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
ENERGY LOSSES
ENTROPY
EQUATIONS
FOKKER-PLANCK EQUATION
FUNCTIONS
HAMILTONIANS
IRREVERSIBLE PROCESSES
LIOUVILLE THEOREM
LOSSES
MATHEMATICAL MANIFOLDS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
ORDER PARAMETERS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
PHYSICAL PROPERTIES
PROJECTION OPERATORS
QUANTUM MECHANICS
QUANTUM OPERATORS
RELAXATION TIME
SPACE
STATISTICAL MECHANICS
SYMMETRY
SYMMETRY BREAKING
THERMODYNAMIC PROPERTIES
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN-VLASOV EQUATION
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
ENERGY LOSSES
ENTROPY
EQUATIONS
FOKKER-PLANCK EQUATION
FUNCTIONS
HAMILTONIANS
IRREVERSIBLE PROCESSES
LIOUVILLE THEOREM
LOSSES
MATHEMATICAL MANIFOLDS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
ORDER PARAMETERS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
PHYSICAL PROPERTIES
PROJECTION OPERATORS
QUANTUM MECHANICS
QUANTUM OPERATORS
RELAXATION TIME
SPACE
STATISTICAL MECHANICS
SYMMETRY
SYMMETRY BREAKING
THERMODYNAMIC PROPERTIES