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Finite-size effects at first-order transitions

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Abstract

Finite-size rounding of a first-order phase transition is studied in “block”- and “cylinder”-shaped ferromagnetic scalar spin systems. Crossover in shape is investigated and the universal form of the rounded susceptibility peak is obtained. Scaling forms on the low-temperature side of the critical point are considered both above and below the borderline dimensionality,d >=4. A method of phenomenological renormalization, applicable to both odd and even field derivatives, is suggested and used to estimate universal amplitudes for two-dimensional Ising models atT=Tc.

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  1. Baker Laboratory, Cornell University, 14853, Ithaca, New York

    Vladimir Privman & Michael E. Fisher

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  1. Vladimir Privman
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  2. Michael E. Fisher
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Privman, V., Fisher, M.E. Finite-size effects at first-order transitions. J Stat Phys 33, 385–417 (1983). https://doi.org/10.1007/BF01009803

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  • DOI: https://doi.org/10.1007/BF01009803

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