Random Energy Model as a paradigm of complex systems

Details Random Energy Model as a paradigm of complex systems Random Energy Model as a paradigm of complex systems

1999-08-22

arxiv.org/abs/cond-mat/9908312v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

latex, The English is corrected

Scientific paper

A quadratic extension of REM has been treated. Discussed here is the origin of relation of REM to strings and other complex physical phenomena. Two basic features of the REM class of complex phenomena were identified: the double thermodynamic reflection (a hierarchy of free energies) including the strong reflection at the upper level (the free energy on the order of a logarithm of the degrees of freedom) and the loss (complete or partial) of the local symmetry property. Two main classes of complex phenomena related to REM are seen: the spin glass phase of REM and the boundary the spin glass-ferromagnetic phases. Some examples of physics interest are analyzed from this viewpoint.

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