Critical Scaling Properties at the Superfluid Transition of $^4$He in Aerogel

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dc.creatorNikolaou, Marios
dc.creatorWallin, Mats
dc.creatorWeber, Hans
dc.date2006-03-30
dc.date2006-12-04
dc.date.accessioned2026-07-07T07:05:07Z
dc.date.available2026-07-07T07:05:07Z
dc.descriptionWe study the superfluid transition of $^4$He in aerogel by Monte Carlo simulations and finite size scaling analysis. Aerogel is a highly porous silica glass, which we model by a diffusion limited cluster aggregation model. The superfluid is modeled by a three dimensional XY model, with excluded bonds to sites on the aerogel cluster. We obtain the correlation length exponent $ν=0.73 \pm 0.02$, in reasonable agreement with experiments and with previous simulations. For the heat capacity exponent $α$, both experiments and previous simulations suggest deviations from the Josephson hyperscaling relation $α=2-dν$. In contrast, our Monte Carlo results support hyperscaling with $α= -0.2\pm 0.05$. We suggest a reinterpretation of previous experiments, which avoids scaling violations and is consistent with our simulation results.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0603825
dc.identifierhttp://arxiv.org/abs/cond-mat/0603825
dc.identifierPhys. Rev. Lett. 97, 225702 (2006)
dc.identifierdoi:10.1103/PhysRevLett.97.225702
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109564
dc.subjectDisordered Systems and Neural Networks
dc.titleCritical Scaling Properties at the Superfluid Transition of $^4$He in Aerogel
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