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- W1977402009 abstract "We calculate the probability density function for the order-parameter fluctuations in the low-temperature phase of the two-dimensional 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 expression for xi(h) is developed by treating nonlinear contributions to the field energy using a Hartree approximation. We find analytically a series of universal non-Gaussian distributions of the finite-size scaling form P(m,L,xi) approximately L(beta/nu)P(L)(mL(beta/nu),xi/L) and present a function of the form P(x) approximately [exp[x-exp(x)]](a(h)) that gives the probability density functions to an excellent approximation. We propose a(h) as an indirect measure of the length scale of correlations in a wide range of complex systems." @default.
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- W1977402009 date "2001-08-27" @default.
- W1977402009 modified "2023-10-18" @default.
- W1977402009 title "Universal magnetic fluctuations with a field-induced length scale" @default.
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- W1977402009 doi "https://doi.org/10.1103/physreve.64.036111" @default.
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