EQUIVALENCE BETWEEN THE TWO GENERALIZED MASTER EQUATIONS
Forms of the generalized master equation derived by L. Van Hove (Physica, 23: 441(1957)) and by I. Prigogine and P. Resibois (Physica, 27: 629(1961)) are examined using diagrams. Given the random phase initial condition, they equivalently describe the exact asymptotic behavior of a diagonal element of density matrix. Their interrelation is clarified. Both of the equations exhibit non-Markoffian evolution. The way in which they are derived suggests which conditions and in what manner such non-Markoffian equations are reduced to the usual Markoffian master equation s. (auth)
- Research Organization:
- Universite Libre, Brussels
- NSA Number:
- NSA-16-016637
- OSTI ID:
- 4781905
- Journal Information:
- Physica, Journal Name: Physica Vol. Vol: 28
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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Related Subjects
ADDITIVES
ALUMINUM
BERYLLIUM ALLOYS
CORROSION PROTECTION
ENTROPY
FABRICATION
FAILURES
HIGH TEMPERATURE
IMPURITIES
INTERMETALLIC COMPOUNDS
IRON
IRREVERSIBLE PROCESSES
MARKOV CHAINS
MATHEMATICS AND COMPUTERS
NICKEL
NIOBIUM ALLOYS
OXIDATION
PRIGOGINE THEOREM
PROBABILITY
TEMPERATURE
TENSILE PROPERTIES
THERMAL SHOCK
THERMAL STRESSES
THERMODYNAMICS
USES
ZIRCONIUM ALLOYS
ALUMINUM
BERYLLIUM ALLOYS
CORROSION PROTECTION
ENTROPY
FABRICATION
FAILURES
HIGH TEMPERATURE
IMPURITIES
INTERMETALLIC COMPOUNDS
IRON
IRREVERSIBLE PROCESSES
MARKOV CHAINS
MATHEMATICS AND COMPUTERS
NICKEL
NIOBIUM ALLOYS
OXIDATION
PRIGOGINE THEOREM
PROBABILITY
TEMPERATURE
TENSILE PROPERTIES
THERMAL SHOCK
THERMAL STRESSES
THERMODYNAMICS
USES
ZIRCONIUM ALLOYS