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Universal Magnetic Fluctuations with a Field Induced Length Scale | | B. Portelli
; P.C.W. Holdsworth
; M. Sellitto
; S.T. Bramwell
; | | Date: |
15 Feb 2001 | | Journal: | Phys. Rev. E 64, 036111 (2001). | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | We calculate the probability density function for the order parameter fluctuations in the low temperature phase of the 2D-XY model of magnetism near the line of critical points. A finite correlation length, xi, is introduced with a small magnetic field, h, and an accurate expression for xi(h) is developed by treating non-linear contributions to the field energy using a Hartree approximation. We find analytically a series of universal non-Gaussian distributions with a finite size scaling form and present a Gumbel-like function that gives the PDF to an excellent approximation. We propose the Gumbel exponent, a(h), as an indirect measure of the length scale of correlations in a wide range of complex systems. | | Source: | arXiv, cond-mat/0102283 | | Services: | Forum | Review | PDF | Favorites | |
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