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A quasi-exact formula for Ising critical temperatures on hypercubic lattices

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  • Galam, Serge
  • Mauger, Alain

Abstract

We report a quasi-exact power law behavior for Ising critical temperatures on hypercubes. It reads JkBTc = K0[(1 − 1/d)(q−1)]a where K0 = 0.8633747, d is the space dimension q the coordination number (q = 2d), J the coupling constant kB the Boltzman constant and Tc the critical temperature. Absolute errors from available exact estimates (d=2−7) are always less than 0.0005. Extension to other lattice is discussed.

Suggested Citation

  • Galam, Serge & Mauger, Alain, 1997. "A quasi-exact formula for Ising critical temperatures on hypercubic lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(3), pages 573-576.
    • Handle: RePEc:eee:phsmap:v:235:y:1997:i:3:p:573-576
    DOI: 10.1016/S0378-4371(96)00353-6
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