Generalized Random Energy Model II

Author： Jana N.   Rao B.  

Publisher： Springer Publishing Company

ISSN： 0022-4715

Source： Journal of Statistical Physics, Vol.127, Iss.4, 2007-05, pp. : 841-850

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Abstract

The formulae for the free energy, when the driving distributions in Generalized Random Energy Model (GREM) are of the form for γ ≥ 1 are derived. The large deviation technique allows the use of different distributions at different levels of the GREM. As an illustration we consider, in detail, a two level GREM with exponential and Gaussian distributions. This simple case itself leads to interesting phenomena.

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