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EnglishWe 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.
| Titolo: | Lack of self-averaging in weakly disordered one-dimensional systems |
| Autori: | |
| Data di pubblicazione: | 1993 |
| Rivista: | |
| 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. |
| Handle: | http://hdl.handle.net/11697/18133 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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