Published January 1989
| Version v1
Journal article
Upper critical dimensions of random spin systems
Description
A set of critical exponent inequalities is proved for a large class of classical random spin systems. The inequalities imply rigorous (and probably the optimal) lower bounds for the upper critical dimensions, i.e., d/sub u/≥ 4 for regular and random ferromagnets, d/sub u/ ≥ 6 for spin glasses and random field systems
Additional details
Publishing Information
- Journal Title
- Journal of Statistical Physics
- Journal Volume
- 54
- Journal Issue
- 1-2
- Series
- J. Stat. Phys.
- Journal Page Range
- 163-170
- ISSN
- 0022-4715
- CODEN
- JSTPB
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 20050189
- Subject category
- S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY CONDITIONS; CRYSTAL MODELS; DIMENSIONS; FERROMAGNETIC MATERIALS; FERROMAGNETISM; HAMILTONIANS; HEISENBERG MODEL; INTERACTION RANGE; ISING MODEL; J-J COUPLING; MAGNETIC FIELDS; MEAN-FIELD THEORY; RANDOMNESS; SCALING LAWS; SPIN; SPIN EXCHANGE; SPIN GLASS STATE; STATISTICAL MECHANICS; THERMAL EXPANSION
- Descriptors DEC
- ANGULAR MOMENTUM; COUPLING; DISTANCE; EXPANSION; INTERMEDIATE COUPLING; MAGNETIC MATERIALS; MAGNETISM; MATERIALS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MECHANICS; PARTICLE PROPERTIES; QUANTUM OPERATORS