Dilution Robustness for Mean Field Ferromagnets

Details Dilution Robustness for Mean Field Ferromagnets Dilution Robustness for Mean Field Ferromagnets

2008-12-08

arxiv.org/abs/0812.1568v2

Physics

Mathematical Physics

To appear on Journal of Statistical Mechanics

Scientific paper

10.1088/1742-5468/2009/03/P03028

In this work we compare two different random dilution of a mean field ferromagnet: the first model is built on a Bernoulli-diluted network while the second lives on a Poisson-diluted network. While it is known that the two models have in the thermodynamic limit the same free energy we investigate on the structural constraints that the two models must fulfill. We rigorously derive for each model the set of identities for the multi-overlaps distribution using different methods for the two dilutions: constraints in the former model are obtained by studying the consequences of the self-averaging of the internal energy density, while in the latter are obtained by a stochastic-stability technique. Finally we prove that the identities emerging in the two models are the same, showing "robustness" of the ferromagnetic properties of diluted networks with respect to the details of dilution.

Affiliated with

Also associated with

No associations

Rating

Dilution Robustness for Mean Field Ferromagnets 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 Dilution Robustness for Mean Field Ferromagnets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dilution Robustness for Mean Field Ferromagnets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-281456