Scale Invariance and Self-averaging in disordered systems

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dc.creatorParisi, Giorgio
dc.creatorPicco, Marco
dc.creatorSourlas, Nicolas
dc.date2003-12-31
dc.date.accessioned2026-07-07T02:55:41Z
dc.date.available2026-07-07T02:55:41Z
dc.descriptionIn a previous paper we found that in the random field Ising model at zero temperature in three dimensions the correlation length is not self-averaging near the critical point and that the violation of self-averaging is maximal. This is due to the formation of bound states in the underlying field theory. We present a similar study for the case of disordered Potts and Ising ferromagnets in two dimensions near the critical temperature. In the random Potts model the correlation length is not self-averaging near the critical temperature but the violation of self-averaging is weaker than in the random field case. In the random Ising model we find still weaker violations of self-averaging and we cannot rule out the possibility of the restoration of self-averaging in the infinite volume limit.
dc.description7 pages, 4 ps figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0312715
dc.identifierhttp://arxiv.org/abs/cond-mat/0312715
dc.identifierEurophysics Letters 66 (2004) 465
dc.identifierdoi:10.1209/epl/i2004-10014-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23031
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleScale Invariance and Self-averaging in disordered systems
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