Finite-size scaling in anisotropic systems

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dc.creatorTonchev, N. S.
dc.date2005-12-07
dc.date.accessioned2026-07-07T06:53:12Z
dc.date.available2026-07-07T06:53:12Z
dc.descriptionWe present analytical results for the finite-size scaling in d--dimensional O(N) systems with strong anisotropy where the critical exponents (e.g. ν_{||} and ν_{\perp}) depend on the direction. Prominent examples are systems with long-range interactions, decaying with the interparticle distance r as r^{-d-σ} with different exponents σin corresponding spatial directions, systems with space-"time"a anisotropy near a quantum critical point and systems with Lifshitz points. The anisotropic properties involve also the geometry of the systems. We consider systems confined to a d-dimensional layer with geometry L^{m}\times\infty^{n}; m+n=d and periodic boundary conditions across the finite m dimensions. The arising difficulties are avoided using a technics of calculations based on the analytical properties of the generalized Mittag-Leffler functions.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0512146
dc.identifierhttp://arxiv.org/abs/cond-mat/0512146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105499
dc.subjectStatistical Mechanics
dc.titleFinite-size scaling in anisotropic systems
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