Random Energy Model
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In statistical physics of disordered systems the Random Energy Model is a toy model of a system with quenched disorder. It concerns the statistics of a system of N particles, such that the number of possible states for the systems grow as 2N, while the energy of such states is a gaussian stochastic variable. The model has an exact solution. Its simpicity makes this model suitable for pedagogical introduction of concepts like quenched disorder and replica symmetry.
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