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Crossover behavior of the susceptibility and the specific heat near a second-order phase transition

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  • Belyakov, M.Y.
  • Kiselev, S.B.

Abstract

Simple crossover equations for the susceptibility and the specific heat in zero field have been obtained on the basis of the renormalization-group method and ε-expansion. The equations contain the Ginzburg number as a parameter. At temperatures near the critical temperature, scaling behavior including the first Wegner corrections is reproduced. At temperatures far away from the critical temperature the classical Landau expansion with square-root corrections is recovered. For small values of the Ginzburg number the crossover equations approach a universal form. The equations are applied to represent experimental specific heat data for CH4, C2H6, Ar, O2 and CO2 along the critical isochore in a universal form.

Suggested Citation

  • Belyakov, M.Y. & Kiselev, S.B., 1992. "Crossover behavior of the susceptibility and the specific heat near a second-order phase transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 190(1), pages 75-94.
    • Handle: RePEc:eee:phsmap:v:190:y:1992:i:1:p:75-94
    DOI: 10.1016/0378-4371(92)90078-5
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    3. Zinn, Karl Georg, 1976. "Hochkonjunktur bei Unterbeschäftigung? Die analytischen Defizite der jüngsten Aufschwungeuphorie," Wirtschaftsdienst – Zeitschrift für Wirtschaftspolitik (1949 - 2007), ZBW - Leibniz Information Centre for Economics, vol. 56(8), pages 395-403.
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    Cited by:

    1. Anisimov, M.A & Gorodetskii, E.E & Kulikov, V.D & Povodyrev, A.A & Sengers, J.V, 1995. "A general isomorphism approach to thermodynamic and transport properties of binary fluid mixtures near critical points," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 277-324.
    2. Povodyrev, A.A. & Anisimov, M.A. & Sengers, J.V. & Levelt Sengers, J.M.H., 1997. "Vapor-liquid equilibria, scaling, and crossover in aqueous solutions of sodium chloride near the critical line," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 298-328.

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