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.
Random transfer matrices for the overlap in disordered systems
SERVA, Maurizio;
1993-01-01
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.File in questo prodotto:
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