FORMULATION OF STATISTICAL MECHANICS IN TERMS OF OCCUPATION NUMBERS. PART II

Journal Article · Sun Jan 01 04:00:00 EST 1961 · Nuclear Phys.

DOI:https://doi.org/10.1016/0029-5582(61)90351-0· OSTI ID:4832180

Balian, R; Bloch, C; de Dominicis, C

A physical interpretation of the generalized free energy F, introduced (Nuclear Physics 25: 529(196l)) in connection with the variational principle, is obtained by relating it to the statistical distribution of the occupation numbers. The values of the occupation numbers derived from the variational principle are then interpreted as the most probable values in a grand canonical ensemble of identical systems. As a particular consequence of the theory, it is shown that in the case of an infinite system without Bose condensation, the probability distribution of any occupation number has the same form as in the absence of interactions. The classical limit of the theory is then considered. First, the great similarity of our results with the classical expansions expressed in terms of the local density is exhibited by rederiving the well known classical expressions with previously given methods. Finally the classical limit of the Gibbs potential is shown to be identical, term by term, with the classical virial expansion. (auth)

• Research Organization: Centre d'Etudes Nucleaires, Saclay, France
• NSA Number: NSA-16-003559
• OSTI ID: 4832180
• Journal Information: Nuclear Phys., Journal Name: Nuclear Phys. Vol. Vol: 27
• Country of Publication: Country unknown/Code not available
• Language: French

Related Subjects

BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN STATISTICS
CARBON
COILS
CYLINDERS
DENSITY
DISTRIBUTION
ELECTRIC CONDUCTIVITY
EMISSION
ENERGY
EQUATIONS
GRAPHITE
HEAT TRANSFER
HEATING
HIGH TEMPERATURE
IMPURITIES
INDUCTION
INTERACTIONS
MAGNETIC FIELDS
MATHEMATICS
MEASURED VALUES
MECHANICS
OCCUPATION NUMBER
PHYSICS
PROBABILITY
QUANTUM MECHANICS
RESISTORS
SPECTRA
STATISTICS
SUPERFLUIDITY
TEMPERATURE
THERMAL CONDUCTIVITY
THERMODYNAMICS