Critical behavior of the ferromagnetic ising chain with interaction Jij=li-jl-2
Journal Article
·
· Theor. Math. Phys.; (United States)
High-temperature expansions of the susceptibility and specific heat are calculated to the eighth and ninth orders, respectively, in the reciprocal temperature for the one-dimensional ferromagnetic Ising model with interaction that decreases inversely as the square of the distance between the lattice sites. An analysis is performed of the expansion of the susceptibility that indicates that at the critical point its logarithm diverges in accordance with a power law exponent. This estimate is close to the value obtained by the renormalization-group method and is the first numerical confirmation of the predictions of the renormalization-group approach for systems with long-range interaction.
- Research Organization:
- Leningrad Meteorological Institute
- OSTI ID:
- 5934825
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 63:3; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
656102* -- Solid State Physics-- Superconductivity-- Acoustic
Electronic
Magnetic
Optical
& Thermal Phenomena-- (-1987)
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
EXPANSION
FERROMAGNETISM
HAMILTONIANS
INTERACTIONS
ISING MODEL
MAGNETISM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
ONE-DIMENSIONAL CALCULATIONS
PHYSICAL PROPERTIES
QUANTUM OPERATORS
SPECIFIC HEAT
THERMAL EXPANSION
THERMODYNAMIC PROPERTIES
THERMODYNAMICS
Electronic
Magnetic
Optical
& Thermal Phenomena-- (-1987)
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
EXPANSION
FERROMAGNETISM
HAMILTONIANS
INTERACTIONS
ISING MODEL
MAGNETISM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
ONE-DIMENSIONAL CALCULATIONS
PHYSICAL PROPERTIES
QUANTUM OPERATORS
SPECIFIC HEAT
THERMAL EXPANSION
THERMODYNAMIC PROPERTIES
THERMODYNAMICS