Sales, M, Bouchaud, JP.
Europhys. Lett. 56 , 181 -186 (2001).

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We show that the Random Energy Model has interesting rejuvenation properties in its frozen phase. Different susceptibilities to temperature changes, for the free energy and for other ( magnetic) observables, can be computed exactly. These susceptibilities diverge at the transition temperature, as (1T/T-c)(-3) for the free energy.