Area distribution of the planar random loop boundary

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dc.creatorRichard, Christoph
dc.date2003-11-14
dc.date2004-05-19
dc.date.accessioned2026-07-07T09:58:44Z
dc.date.available2026-07-07T09:58:44Z
dc.descriptionWe numerically investigate the area statistics of the outer boundary of planar random loops, on the square and triangular lattices. Our Monte Carlo simulations suggest that the underlying limit distribution is the Airy distribution, which was recently found to appear also as area distribution in the model of self-avoiding loops.
dc.description10 pages, 2 figures. v2: minor changes, version as published
dc.identifierhttps://arxiv.org/abs/cond-mat/0311346
dc.identifierhttp://arxiv.org/abs/cond-mat/0311346
dc.identifierJ. Phys. A: Math. Gen. 37 (2003), 4493-4500
dc.identifierdoi:10.1088/0305-4470/37/16/002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167825
dc.subjectStatistical Mechanics
dc.titleArea distribution of the planar random loop boundary
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