English

Diluted Generalized Random Energy Model

Disordered Systems and Neural Networks 2009-10-30 v2

Abstract

We introduce a layered random spin model, equivalent to the Generalized Random Energy Model (GREM). In analogy with diluted spin systems, a diluted GREM (DGREM) is introduced.It can be applied to calculate approximately thermodynamic properties of spin glass models in low dimensions. For Edwards -Anderson model it gives correct critical dimension and 5% accuracy for ground state energy in 2d.

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Cite

@article{arxiv.cond-mat/9709238,
  title  = {Diluted Generalized Random Energy Model},
  author = {D. Saakian},
  journal= {arXiv preprint arXiv:cond-mat/9709238},
  year   = {2009}
}

Comments

minor change have been made