Relaxation in the Random Energy Model
Derrida’s  random energy model (REM) is defined as a system of a large number, N, of energy levels that are independent random variables drawn from a Gaussian probability distribution. The model exhibits a critical temperature below which the free energy becomes a constant and the entropy vanishes. This indicates a completely frozen phase and is reminiscent of a spin glass phase in magnetic systems with random competing interactions .
KeywordsCritical Temperature Transition Rate Independent Random Variable Detailed Balance Condition Exponential Relaxation
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