Consider a correlated Gaussian random energy model built by successively adding one particle (spin) into the system and imposing the positivity of the associated covariance matrix. We show that the validity of a recently isolated condition ensuring the existence of the thermodynamic limit forces the covariance matrix to exhibit the Parisi replica symmetry breaking scheme with a convexity conditions on the matrix elements.
Contucci, P., Graffi, S. (2004). Convex replica symmetry breaking from positivity and thermodynamic limit. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 18(4-5), 585-591 [10.1142/s0217979204024203].
Convex replica symmetry breaking from positivity and thermodynamic limit
Contucci P.;
2004
Abstract
Consider a correlated Gaussian random energy model built by successively adding one particle (spin) into the system and imposing the positivity of the associated covariance matrix. We show that the validity of a recently isolated condition ensuring the existence of the thermodynamic limit forces the covariance matrix to exhibit the Parisi replica symmetry breaking scheme with a convexity conditions on the matrix elements.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
