On composite systems of dilute and dense couplings

Details On composite systems of dilute and dense couplings On composite systems of dilute and dense couplings

2008-02-29

arxiv.org/abs/0802.4447v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

35 pages, 9 figures, submitted to JPhys A

Scientific paper

10.1088/1751-8113/41/32/324014

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 $\gamma$ alongside inverse temperature $\beta$ 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.

Affiliated with

Also associated with

No associations

Rating

On composite systems of dilute and dense couplings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On composite systems of dilute and dense couplings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On composite systems of dilute and dense couplings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-353357