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Deriving a differential equation for the spin-spin correlation in Ising systems
Authors:Fu-bin Li
Affiliation:(1) World Laboratory, Center of Theoretical Physics of the Center of Chinese Advanced Science and Technology, P.O. Box 8730, 100080 Beijing, China;(2) Mathematical and Mechanical Department, China University of Mining Technology Xuzhou, 221008 Jiangsu, P. R. China
Abstract:Summary The equipartition theorem and the high-temperature expansion are used to derive a differential equation for the spin-spin correlation in Ising systems. Some applications of this equation including improved upper bound on the three-dimensional transition temperature and correlation length are discussed. Due to the relevance of its scientific content, this paper has been given priority by the Journal Direction.
Keywords:Statistical physics and thermodynamics
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