Universal amplitude ratios in finite-size scaling: three-dimensional Ising model
نویسندگان
چکیده
منابع مشابه
Universal amplitude ratios in finite-size scaling: three-dimensional Ising model
Motivated by the results of two-dimensional conformal field theory (CFT) we investigate the finite-size scaling of the mass spectrum of an Ising model on three-dimensional lattices with a spherical cross section. Using a cluster-update Monte Carlo technique we find a linear relation between the masses and the corresponding scaling dimensions, in complete analogy to the situation in two dimensio...
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We use the results of integrable field theory to determine the universal amplitude ratios in the two-dimensional Ising model. In particular, the exact values of the ratios involving amplitudes computed at nonzero magnetic field are provided. Work supported by the European Union under contract FMRX-CT96-0012 Universality is one of the most fascinating concepts of statistical mechanics [1]. Brief...
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We study the (analytic) finite-size corrections in the Ising model on the strip with free, fixed (++), and mixed boundary conditions. For fixed (++) boundary conditions, the spins are fixed to the same values on two sides of the strip. We find that subdominant finite-size corrections to scaling should be to the form a(p)/N(2p-1) for the free energy f(N) and b(p)/N(2p-1) for inverse correlation ...
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We present a high precision Monte Carlo study of various universal amplitude ratios of the three dimensional Ising spin model. Using state of the art simulation techniques we studied the model close to criticality in both phases. Great care was taken to control systematic errors due to finite size effects and correction to scaling terms. We obtain C+/C− = 4.75(3), f+,2nd/f−,2nd = 1.95(2) and u ...
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Using results from conformal field theory, we compute several universal amplitude ratios for the two-dimensional Ising model at criticality on a symmetric torus. These include the correlation-length ratio x⋆ = limL→∞ ξ(L)/L and the first four magnetization moment ratios V2n = 〈M2n〉/〈M2〉n. As a corollary we get the renormalized four-point coupling constant for the massless theory on a symmetric ...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2000
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(00)91787-0