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Annealed n-vector p spin model

Technical Report:

Abstract

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.
Publication Date:
Dec 31, 1992
Product Type:
Technical Report
Report Number:
UM-P-92/03
Reference Number:
SCA: 661100; PA: AIX-24:003176; SN: 93000913694
Resource Relation:
Other Information: PBD: [1992]
Subject:
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
OSTI ID:
10109004
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE93609844; TRN: AU9212929003176
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[92] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Taucher, T, and Frankel, N E. Annealed n-vector p spin model. Australia: N. p., 1992. Web.
Taucher, T, & Frankel, N E. Annealed n-vector p spin model. Australia.
Taucher, T, and Frankel, N E. 1992. "Annealed n-vector p spin model." Australia.
@misc{etde_10109004,
title = {Annealed n-vector p spin model}
author = {Taucher, T, and Frankel, N E}
abstractNote = {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.}
place = {Australia}
year = {1992}
month = {Dec}
}