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Deriving a differential equation for the spin-spin correlation in Ising systems

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Il Nuovo Cimento D

Summary

The equipartition theorem and the high-temperature expansion are used to derive a differential equation for the spin-spin correlation in Ising systems. Some applications of this equation including improved upper bound on the three-dimensional transition temperature and correlation length are discussed.

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References

  1. K. Wilson:Phys. Rev. B,4, 3184 (1971).

    Article  ADS  Google Scholar 

  2. C. Domb, M. S. Green:Phase Transition and Critical Phenomena (Academic Press, New York, N.Y., 1973), Vol.3.

    Google Scholar 

  3. R. Griffiths:Commun. Math. Phys.,6, 121 (1967).

    Article  ADS  Google Scholar 

  4. M. E. Fisher:Phys. Rev.,162, 480 (1988).

    Article  ADS  Google Scholar 

  5. L. P. Kadanoff:Nuovo Cimento B,44, 276 (1966).

    Google Scholar 

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Authors and Affiliations

  1. World Laboratory, Center of Theoretical Physics of the Center of Chinese Advanced Science and Technology, P.O. Box 8730, 100080, Beijing, China

    Fu-bin Li

  2. Mathematical and Mechanical Department, China University of Mining Technology Xuzhou, 221008, Jiangsu, P. R. China

    Fu-bin Li

Authors
  1. Fu-bin Li
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Due to the relevance of its scientific content, this paper has been given priority by the Journal Direction.

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Li, Fb. Deriving a differential equation for the spin-spin correlation in Ising systems. Il Nuovo Cimento D 13, 687–695 (1991). https://doi.org/10.1007/BF02451291

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  • DOI: https://doi.org/10.1007/BF02451291

PACS 05.50

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