Composite systems of dilute and dense couplings

J. R. Raymond, D. Saad

Research output: Contribution to journalArticle

Abstract

Composite systems, where couplings are of two types, a combination of strong dilute and weak dense couplings of Ising spins, are examined through the replica method. The dilute and dense parts are considered to have independent canonical disordered or uniform bond distributions; mixing the models by variation of a parameter γ alongside inverse temperature β we analyse the respective thermodynamic solutions. We describe the variation in high temperature transitions as mixing occurs; in the vicinity of these transitions we exactly analyse the competing effects of the dense and sparse models. By using the replica symmetric ansatz and population dynamics we described the low temperature behaviour of mixed systems.

Original languageEnglish
Article number324014
JournalJournal of Physics A: Mathematical and Theoretical
Volume41
Issue number32
DOIs
Publication statusPublished - 15 Aug 2008

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replicas
Large scale systems
Composite
Replica Method
Population dynamics
composite materials
Weak Coupling
Population Dynamics
Replica
Ising
Superconducting transition temperature
Thermodynamics
Temperature
thermodynamics
Model
temperature

Cite this

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Composite systems of dilute and dense couplings. / Raymond, J. R.; Saad, D.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 41, No. 32, 324014, 15.08.2008.

Research output: Contribution to journalArticle

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