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Critical scaling properties at the superfluid transition of 4He in aerogel
Kungliga tekniska högskolan, KTH.
Kungliga tekniska högskolan, KTH.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Material Science.
2006 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 97, no 22Article in journal (Refereed) Published
Abstract [en]

We study the superfluid transition of 4He 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±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±0.05. We suggest a reinterpretation of the experiments, which avoids scaling violations and is consistent with our simulation results.

Place, publisher, year, edition, pages
2006. Vol. 97, no 22
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URN: urn:nbn:se:ltu:diva-3389DOI: 10.1103/PhysRevLett.97.225702Local ID: 13640110-e6bd-11db-8a98-000ea68e967bOAI: diva2:976247
Validerad; 2006; Bibliografisk uppgift: Paper id:: 225702; 20061214 (weber)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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