Abstract
The formulae for the free energy, when the driving distributions in Generalized Random Energy Model (GREM) are of the form \(Ce^{-|x|^\gamma}\) 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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Jana, N.K., Rao, B.V. Generalized Random Energy Model II. J Stat Phys 127, 841–850 (2007). https://doi.org/10.1007/s10955-007-9288-y
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DOI: https://doi.org/10.1007/s10955-007-9288-y