Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2013, Volume 98, Issue 9, Pages 602–607
DOI: https://doi.org/10.7868/S0370274X13210042 (Mi jetpl3561) 		 
CONDENSED MATTER

Nonextensive entropy and the non-Gaussian distribution of magnetization in two-dimensional spin ice

M. I. Ryzhkin

Institute of Solid State Physics, Russian Academy of Sciences
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DOI: https://doi.org/10.7868/S0370274X13210042
Abstract: The statistical properties of the magnetization of the finite clusters of two-dimensional spin ice have been investigated. It has been shown by Monte Carlo simulations that the short-range ice rules in two dimensions lead to long-range correlations, which decay by a power law with distance. The long-range correlations, in turn, cause the nonextensivity of entropy and inapplicability of the central limit theorem for the magnetization. The behavior of the moments and distribution function of the magnetization with the cluster size disagrees with the theoretical predictions of the dipolar behavior of the correlation functions in two-dimensional spin ice.
Received: 02.09.2013
English version:
Journal of Experimental and Theoretical Physics Letters, 2013, Volume 98, Issue 9, Pages 534–538
DOI: https://doi.org/10.1134/S0021364013220116
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Document Type: Article
Language: Russian
Citation: M. I. Ryzhkin, “Nonextensive entropy and the non-Gaussian distribution of magnetization in two-dimensional spin ice”, Pis'ma v Zh. Èksper. Teoret. Fiz., 98:9 (2013), 602–607; JETP Letters, 98:9 (2013), 534–538
Citation in format AMSBIB
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