Magnetization densities as replica parameters: The dilute ferromagnet

Maurizio Serva

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 14, 2700-2707

Abstract: 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 (1998) [5]. 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.

Keywords: Disordered systems; Replica trick; Dilute ferromagnet (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:14:p:2700-2707

DOI: 10.1016/j.physa.2010.03.019

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