Delocalization transition of the selective interface model: distribution of pseudo-critical temperatures

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dc.creatorMonthus, Cecile
dc.creatorGarel, Thomas
dc.date2005-11-03
dc.date.accessioned2026-07-07T06:45:49Z
dc.date.available2026-07-07T06:45:49Z
dc.descriptionAccording to recent progress in the finite size scaling theory of critical disordered systems, the nature of the phase transition is reflected in the distribution of pseudo-critical temperatures $T_c(i,L)$ over the ensemble of samples $(i)$ of size $L$. In this paper, we apply this analysis to the delocalization transition of an heteropolymeric chain at a selective fluid-fluid interface. The width $ΔT_c(L)$ and the shift $[T_c(\infty)-T_c^{av}(L)]$ are found to decay with the same exponent $L^{-1/ν_{R}}$, where $1/ν_{R} \sim 0.26$. The distribution of pseudo-critical temperatures $T_c(i,L)$ is clearly asymmetric, and is well fitted by a generalized Gumbel distribution of parameter $m \sim 3$. We also consider the free energy distribution, which can also be fitted by a generalized Gumbel distribution with a temperature dependent parameter, of order $m \sim 0.7$ in the critical region. Finally, the disorder averaged number of contacts with the interface scales at $T_c$ like $L^ρ$ with $ρ\sim 0.26 \sim 1/ν_R $.
dc.description9 pages,6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0511072
dc.identifierhttp://arxiv.org/abs/cond-mat/0511072
dc.identifierJ. Stat. Mech. (2005) P12011
dc.identifierdoi:10.1088/1742-5468/2005/12/P12011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103151
dc.subjectDisordered Systems and Neural Networks
dc.subjectSoft Condensed Matter
dc.titleDelocalization transition of the selective interface model: distribution of pseudo-critical temperatures
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