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Partition function zeros for the two-dimensional Ising model III

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  • Stephenson, John
  • Van Aalst, Jan

Abstract

Complex temperature zeros are calculated numerically from a polynomial form of the partition function of the two-dimensional Ising model in the absence of a magnetic field. In terms of a suitably chosen variable, z, the distribution of zeros is symmetrical under reflection in both the real and imaginary axes. The numerical results confirm the analytical theory in the neighbourhood of the critical point(s), and extend into the complex plane, permitting an analysis of the symmetries of zero distribution for a variety of selected cases of interaction ratios.

Suggested Citation

  • Stephenson, John & Van Aalst, Jan, 1986. "Partition function zeros for the two-dimensional Ising model III," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(1), pages 160-175.
    • Handle: RePEc:eee:phsmap:v:136:y:1986:i:1:p:160-175
    DOI: 10.1016/0378-4371(86)90048-8
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    Cited by:

    1. Stephenson, John, 1989. "Partition function zeros for the two-dimensional Ising model VI," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(2), pages 324-343.
    2. Stephenson, John, 1988. "Partition function zeros for the two-dimensional Ising model V," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(1), pages 107-123.
    3. Stephenson, John, 1989. "Partition function zeros for the two-dimensional Ising model VII," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(2), pages 344-364.
    4. Stephenson, John, 1988. "Partition function zeros for the two-dimensional using model IV," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(1), pages 88-106.

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