Annealed n-vector p spin model
Taucher, T; Frankel, N E
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FIELD THEORIES; ANNEALING; MATHEMATICAL MODELS; ANALYTICAL SOLUTION; HAMILTONIANS; PARTICLE KINEMATICS; SPIN; TEMPERATURE DEPENDENCE; THEORETICAL DATA; VECTORS; 661100; CLASSICAL AND QUANTUM MECHANICS
A disordered n-vector model with p spin interactions is introduced and studied in mean field theory for the annealed case. The complete solutions for the cases n = 2 and n = 3, is presented and explicit order parameter equations is given for all the stable solutions for arbitrary n. For all n and p was found on stable high temperature phase and one stable low temperature phase. The phase transition is of first order. For n = 2, it is continuous in the order parameters for p {<=} 4 and has a jump discontinuity in the order parameters if p > 4. For n = 3, it has a jump discontinuity in the order parameters for all p. 11 refs., 4 figs.
Melbourne Univ., Parkville, VIC (Australia). School of Physics
OSTI; NTIS (US Sales Only); INIS
Australia
1993-12-31
English
Technical Report
Numerical Data
Other Information: PBD: [1992]
Medium: X; Size: [92] p.
ON: DE93609844
UM-P-92/03
Other: ON: DE93609844; TRN: AU9212929003176
INIS; SCA: 661100; PA: AIX-24:003176; SN: 93000913694
2008-02-12
10109004