Random Energy Model with complex replica number, complex temperatures and classification of the string's phases

Abstract

The results by E. Gardner and B.Derrida have been enlarged for the complex temperatures and complex numbers of replicas. The phase structure is found. There is a connection with string models and their phase structure is analyzed from the REM's point of view.

11 pages,revtex

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Cited by in corpus (7)

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• Finite size corrections in the random energy model and the replica approach
• Generalized Random Energy Model at Complex Temperatures
• Directed random walks on hierarchic trees with continuous branching: a renormalization group approach
• The Markov Switching Multi-fractal models as a new class of REM-like models in 1-dimensional space
• The calculation of multi-fractal properties of directed random walks on hierarchic trees with continuous branching
• On the existence of a glass transition in a Random Energy Model