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Complex temperature plane zeros in the mean-field approximation

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Abstract

We derive asymptotic expressions for the complex temperature plane zeros of the infinite-range Ising model in the scaling regime. The results also apply to high-dimensional, short-range Ising systems. For thenth zero in a system ofN spins, the leading asymptotic result ist n ∝(n/N)1/2(−1 ±i).

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Clarkson University, 13676, Potsdam, New York

    M. L. Glasser

  2. Department of Physics, Clarkson University, 13676, Potsdam, New York

    V. Privman & L. S. Schulman

  3. Department of Physics, Technion, 32000, Haifa, Israel

    L. S. Schulman

Authors
  1. M. L. Glasser
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  2. V. Privman
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  3. L. S. Schulman
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Glasser, M.L., Privman, V. & Schulman, L.S. Complex temperature plane zeros in the mean-field approximation. J Stat Phys 45, 451–457 (1986). https://doi.org/10.1007/BF01021081

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  • DOI: https://doi.org/10.1007/BF01021081

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