Pinning Model in Random Correlated Environment: Appearance of an Infinite Disorder Regime
نویسندگان
چکیده
منابع مشابه
Random pinning model with finite range correlations : disorder relevant regime
The purpose of this paper is to show how one can extend some results on disorder relevance obtained for the random pinning model with i.i.d disorder to the model with finite range correlated disorder. In a previous work, the annealed critical curve of the latter model was computed, and equality of quenched and annealed critical points, as well as exponents, was proved under some conditions on t...
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We study the random pinning model, in the case of a Gaussian environment presenting power-law decaying correlations, of exponent decay a > 0. A similar study was done in a hierachical version of the model Berger and Toninelli (2013), and we extend here the results to the non-hierarchical (and more natural) case. We comment on the annealed (i.e. averaged over disorder) model, which is far from b...
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Recent results have lead to substantial progress in understanding the role of disorder in the (de)localization transition of polymer pinning models. Notably, there is an understanding of the crucial issue of disorder relevance and irrelevance that is now rigorous. In this work, we exploit interpolation and replica coupling methods to obtain sharper results on the irrelevant disorder regime of p...
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چکیده ندارد.
Random pinning glass model.
Glass transition, in which viscosity of liquids increases dramatically upon decrease of temperature without any major change in structural properties, remains one of the most challenging problems in condensed matter physics despite tremendous research efforts in past decades. On the other hand, disordered freezing of spins in magnetic materials with decreasing temperature, the so-called "spin g...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2014
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-014-0965-3