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- W1972962012 abstract "We investigate some implications of the freezing scenario proposed by Carpentier and Le Doussal (CLD) for a random energy model (REM) with logarithmically correlated random potential. We introduce a particular (circular) variant of the model, and show that the integer moments of the partition function in the high-temperature phase are given by the well-known Dyson Coulomb gas integrals. The CLD freezing scenario allows one to use those moments for extracting the distribution of the free energy in both high- and low-temperature phases. In particular, it yields the full distribution of the minimal value in the potential sequence. This provides an explicit new class of extreme-value statistics for strongly correlated variables, manifestly different from the standard Gumbel class. -" @default.
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- W1972962012 date "2008-08-07" @default.
- W1972962012 modified "2023-09-27" @default.
- W1972962012 title "Freezing and extreme-value statistics in a random energy model with logarithmically correlated potential" @default.
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- W1972962012 doi "https://doi.org/10.1088/1751-8113/41/37/372001" @default.
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