Magnetization Densities as Replica Parameters: The Dilute Ferromagnet

Details Magnetization Densities as Replica Parameters: The Dilute Ferromagnet Magnetization Densities as Replica Parameters: The Dilute Ferromagnet

2009-09-23

arxiv.org/abs/0909.4215v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, 4 figures

Scientific paper

In this paper we compute exactly the ground state energy and entropy of the dilute ferromagnetic Ising model. The two thermodynamic quantities are also computed when a magnetic field with random locations is present. The result is reached in the replica approach frame by a class of replica order parameters introduced by Monasson. The strategy is first illustrated considering the SK model, for which we will show the complete equivalence with the standard replica approach. Then, we apply to the diluted ferromagnetic Ising model with a random located magnetic field, which is mapped into a Potts model. This formalism can be, in principle, applied to all random systems, and we believe that it could be of help in many other contexts.

Affiliated with

Also associated with

No associations

Rating

Magnetization Densities as Replica Parameters: The Dilute Ferromagnet 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 Magnetization Densities as Replica Parameters: The Dilute Ferromagnet, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Magnetization Densities as Replica Parameters: The Dilute Ferromagnet will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-182041