Perturbative test of single parameter scaling for 1D random media

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dc.creatorSchrader, R.
dc.creatorSchulz-Baldes, H.
dc.creatorSedrakyan, A.
dc.date2004-05-07
dc.date2004-07-26
dc.date.accessioned2026-07-07T06:30:04Z
dc.date.available2026-07-07T06:30:04Z
dc.descriptionProducts of random matrices associated to one-dimensional random media satisfy a central limit theorem assuring convergence to a gaussian centered at the Lyapunov exponent. The hypothesis of single parameter scaling states that its variance is equal to the Lyapunov exponent. We settle discussions about its validity for a wide class of models by proving that, away from anomalies, single parameter scaling holds to lowest order perturbation theory in the disorder strength. However, it is generically violated at higher order. This is explicitely exhibited for the Anderson model.
dc.descriptionminor corrections to previous version, to appear in Annales H. Poincare
dc.identifierhttps://arxiv.org/abs/math-ph/0405019
dc.identifierhttp://arxiv.org/abs/math-ph/0405019
dc.identifierAnnales Henri Poincare 5 (2004) 1159 - 1180
dc.identifierdoi:10.1007/s00023-004-0195-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98252
dc.subjectMathematical Physics
dc.subjectDisordered Systems and Neural Networks
dc.titlePerturbative test of single parameter scaling for 1D random media
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