Freezing and extreme-value statistics in a random energy model with logarithmically correlated potential
Freezing and extreme-value statistics in a random energy model with logarithmically correlated potential
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 …