1999/08/22 by D. B. Saakian, Saakian, D. B.
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9908312
latex, The English is corrected
arxiv created 2000/04/14 · arxiv updated 2009/11/30
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.