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Sequence of constrained annealed averages for one-dimensional disordered systems
Phys. Rev. E 51, 2006 – Published 1 March, 1995
DOI: https://doi.org/10.1103/PhysRevE.51.2006
Abstract
We introduce a systematic way of implementing a sequence of constrained annealed averages which converges to the quenched average in one-dimensional systems with dichotomic disorder. It is formulated in the context of products of random matrices where the constraints correspond to imposing that each type of n-ple of consecutive matrices appears with the correct frequency according to the given probability distribution in the annealed average. We apply the method to a one-dimensional disordered Ising model, where the constraints have the effect of preventing the disappearance of frustration.
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