A generating function is introduced to determine the probabilty P(q) of the overlap q in disordered systems via a product of random transfer matrices. In one-dimensional models, the overlap is obtained by the Lyapunov exponent λ of the product. Replica symmetry breaking at zero temperature corresponds to a discontinuity of the derivative of λ with respect to an appropriate coupling variable in the replica space. The method is illustrated in a frustrated magnetic model where q≠0.
Random Transfer Matrices for the Overlap in Disordered Systems / Crisanti, Andrea; G., Paladin; M., Serva; Vulpiani, Angelo. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 71:(1993), pp. 789-792. [10.1103/PhysRevLett.71.789]
Random Transfer Matrices for the Overlap in Disordered Systems
CRISANTI, Andrea;VULPIANI, Angelo
1993
Abstract
A generating function is introduced to determine the probabilty P(q) of the overlap q in disordered systems via a product of random transfer matrices. In one-dimensional models, the overlap is obtained by the Lyapunov exponent λ of the product. Replica symmetry breaking at zero temperature corresponds to a discontinuity of the derivative of λ with respect to an appropriate coupling variable in the replica space. The method is illustrated in a frustrated magnetic model where q≠0.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
