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EnglishA generating function is introduced to determine the probability 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 lambda of the product. Replica symmetry breaking at zero temperature corresponds to a discontinuity of the derivative of lambda with respect to an appropriate coupling variable in the replica space. The method is illustrated in a frustrated magnetic model where q not-equal 0.
http://hdl.handle.net/11697/11451| Titolo: | Random transfer matrices for the overlap in disordered systems |
| Autori interni: | SERVA, Maurizio |
| Data di pubblicazione: | 1993 |
| Rivista: | PHYSICAL REVIEW LETTERS |
| Abstract: | A generating function is introduced to determine the probability 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 lambda of the product. Replica symmetry breaking at zero temperature corresponds to a discontinuity of the derivative of lambda with respect to an appropriate coupling variable in the replica space. The method is illustrated in a frustrated magnetic model where q not-equal 0. |
| Handle: | http://hdl.handle.net/11697/11451 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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