We introduce a one-dimensional disordered Ising model which at zero temperature is characterized by a non-trivial, non-self-averaging, overlap probability distribution when the impurity concentration vanishes in the thermodynamic limit. The form of the distribution can be calculated analytically for any realization of disorder. For non-zero impurity concentration the distribution becomes a self-averaging delta function centered on a value which can be estimated by the product of appropriate transfer matrices.
LACK OF SELF-AVERAGING IN WEAKLY DISORDERED ONE-DIMENSIONAL SYSTEMS / Crisanti, Andrea; G., Paladin; M., Serva; Vulpiani, Angelo. - In: JOURNAL DE PHYSIQUE I. - ISSN 1155-4304. - STAMPA. - 3:10(1993), pp. 1993-2006. [10.1051/jp1:1993227]
LACK OF SELF-AVERAGING IN WEAKLY DISORDERED ONE-DIMENSIONAL SYSTEMS
CRISANTI, Andrea;VULPIANI, Angelo
1993
Abstract
We introduce a one-dimensional disordered Ising model which at zero temperature is characterized by a non-trivial, non-self-averaging, overlap probability distribution when the impurity concentration vanishes in the thermodynamic limit. The form of the distribution can be calculated analytically for any realization of disorder. For non-zero impurity concentration the distribution becomes a self-averaging delta function centered on a value which can be estimated by the product of appropriate transfer matrices.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.