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On finite-size scaling in the presence of dangerous irrelevant variables

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Abstract

A scaling hypothesis on finite-size scaling in the presence of a dangerous irrelevant variable is formulated for systems with long-range interaction and general geometryL d−d′×∞d′. A characteristic length which obeys a universal finite-size scaling relation is defined. The general conjectures are based on exact results for the mean spherical model with inverse power law interaction.

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Brankov, J.G., Tonchev, N.S. On finite-size scaling in the presence of dangerous irrelevant variables. J Stat Phys 60, 519–526 (1990). https://doi.org/10.1007/BF01314934

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  • DOI: https://doi.org/10.1007/BF01314934

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