Effective Critical Exponents of Ising Strips D*L with D<<L

dc.creatorMartinez, M. Felisa
dc.creatorGarcia, Carlos
dc.creatorGonzalo, Julio A.
dc.date2003-06-13
dc.date.accessioned2026-07-07T02:51:49Z
dc.date.available2026-07-07T02:51:49Z
dc.descriptionMonte Carlo data simulating phase transitions in Ising strips $D\times L,$ ($D\llL) $ with periodic boundary conditions show that $T_{c}(D)=0$ for $D\leq D^{\ast}\simeq 6$ and $0<T_{c}(D)<T_{c}(d=2)$ for $D>D^{\ast}.$ Regular scaling of $ML^{β/ν}$ vs $|T-T_{c}|L^{1/ν}$ is obtained only for $% D>D^{\ast}$and the Monte Carlo effective susceptibility critical exponent $γ_{eff} (D)$ is shown to be well described by $γ(d)=β(d)[δ(d)-1]$ with $% d_{eff}(D)$ given by $d_{eff}(D)\simeq 1.5+({1/200})(D-6)$ and $β(d)=(\frac{3d%}{16}-{1/4}),$ $δ^{-1}(d)=(\frac{2d}{15}-{1/5})$, which can be understood as valid with $d_{eff}(D)$.
dc.description6 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0306360
dc.identifierhttp://arxiv.org/abs/cond-mat/0306360
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21611
dc.subjectStatistical Mechanics
dc.titleEffective Critical Exponents of Ising Strips D*L with D<<L
dc.typetext

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