Accession Number : AD0612678

Title :   OBSERVATIONS ON THE SPHERICAL MODEL OF A FERROMAGNET,

Corporate Author : OREGON UNIV EUGENE

Personal Author(s) : Yan,C. C. ; Wannier,G. H.

Report Date : 1964

Pagination or Media Count : 21

Abstract : A discrepancy between the methods of the grand and the canonical ensemble which arose in the study of the spherical model of a ferromagnet even for properties of individual spins is traced to an incorrect order of taking limits. The spin system must be considered for a small but not vanishing field first, and the limit of zero field must only be taken after the limit of an infinite number of particles has been taken. For this case no discrepancy between the two ensembles arises. A calculation proceeding entirely at zero field cannot be considered as logically admissible; discrepancies arising in this case are thus of no physical consequence. (Author)

Descriptors :   (*FERROMAGNETIC MATERIALS, MATHEMATICAL MODELS), (*STATISTICAL MECHANICS, FERROMAGNETISM), STATISTICAL DISTRIBUTIONS, PROBABILITY, SPINNING(MOTION), NUMERICAL INTEGRATION, THERMODYNAMICS

Distribution Statement : APPROVED FOR PUBLIC RELEASE