Exact thermodynamic behavior of a generalized spin-isospin Ising system on the Bethe lattice

Journal Article · Sun Jan 01 00:00:00 EST 1989 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01023478· OSTI ID:6140694

Papatriantafillou, C; Paraskevaidis, C E; Krikos, C; Panagopoulos, P

The authors study a generalized Ising system consisting of a Bethe lattice on every site of which two spin-1/2 and two isospin-1/2 (or atomic species A) states can be realized, the spin-species interacting with appropriate nearest neighbor couplings. The system is equivalent to that of four states per site and they obtain in exact thermodynamic behavior. The case of a fixed concentration of species is the annealed or liquid magnetic binary alloy. The temperature dependence of the short-range-order (SRO) parameter of such systems is obtained as an application of the theory and discussed in connection with relevant material from the literature. When fixing both the concentration and the nearest neighbor spatial correlation of the species, they obtain Eggarter's formulas for the frozen-in species problem, which therefore are only approximately valid even on the Bethe lattice.

• Research Organization: NRC Demokritos, Athens (Greece)
• OSTI ID: 6140694
• Journal Information: J. Stat. Phys.; (United States), Vol. 54:1-2
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ISING MODEL
THERMODYNAMICS
ANNEALING
ATOMS
BINARY ALLOY SYSTEMS
CUBIC LATTICES
HAMILTONIANS
ISOSPIN
MAGNETIC FIELDS
MAGNETIC MATERIALS
ORDER PARAMETERS
SPIN
SPIN FLIP
SPIN GLASS STATE
STATISTICAL MECHANICS
THERMODYNAMIC PROPERTIES
ALLOY SYSTEMS
ANGULAR MOMENTUM
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
HEAT TREATMENTS
MATERIALS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
QUANTUM OPERATORS
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics