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Prog. Theor. Phys. Vol. 38 No. 3 (1967) pp. 568-575

[ Full Text PDF : FREE ACCESS (373K) ]

Critical Behavior of Pair Correlation Function in Ising Ferromagnets

Ryuzo Abe

Department of Pure and Applied Sciences, College of General Education, University of Tokyo, Komaba, Meguro-ku, Tokyo

(Received May 1, 1967)

Abstract:

Behavior of pair correlation function in Ising ferromagnets near the transition point is studied in two different ways. First, it is studied by means of the Lee-Yang theoremon the distribution of zeros of partition function. Secondly, a diagrammatic method is developed and a connection is discussed between the results obtained by these two different methods.


URL : http://ptp.ipap.jp/link?PTP/38/568/
DOI : 10.1143/PTP.38.568

[ Full Text PDF : FREE ACCESS (373K) ] Citation:

References:

  1. R. Abe, Prog. Theor. Phys. 38 (1967), 72[PTP].
  2. T. D. Lee and C. N. Yang, Phys. Rev. 87 (1952), 410[APS].
  3. R. Abe, Prog. Theor. Phys. 33 (1965), 600[PTP].
  4. M. E. Fisher, Physica 28 (1962), 172[CrossRef].
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  7. L. P. Kadanoff, Physics 2 (1966), 263.
  8. C. Domb, Proceedings of the 1966 Low Temperature Calorimetry Conference, edited by O. V. Lounasmaa, Ann. Acad. Sci. Fennicæ A VI (1966), 167.
  9. G. Horwitz and H. B. Callen, Phys. Rev. 124 (1961), 1757[APS].
    F. Englert, Phys. Rev. 129 (1963), 567[APS].
    A. Z. Patashinsky and V. L. Pokrovsky, Sov. Phys. -JETP 19 (1964), 677.
    F. H. Stillinger, Jr., Phys. Rev. 146 (1966), 209[APS].
  10. M. E. Fisher, Proceedings of the Conference on Phenomena in the Neighborhood of Critical Points (National Bureau of Standards, Washington, D. C., 1965), p. 108.
    R. J. Burford, Thesis, University of London.
    M. E. Fisher and R. J. Burford, Phys. Rev. 156 (1967), 583[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 39 No. 2 (1968) pp. 349-364 :
    A Theory of the Second Order Phase Transitions in Spin Systems. III
    Masuo Suzuki
  2. Progress of Theoretical Physics Vol. 40 No. 6 (1968) pp. 1246-1256 :
    Theorems on Extended Ising Model with Applications to Dilute Ferromagnetism
    Masuo Suzuki
  3. Progress of Theoretical Physics Vol. 41 No. 6 (1969) pp. 1438-1449 :
    On the Distribution of Zeros for the Heisenberg Model
    Masuo Suzuki
  4. Progress of Theoretical Physics Vol. 44 No. 2 (1970) pp. 339-347 :
    Some Remarks on Perturbation Theory and Phase Transition with an Application to Anisotropic Ising Model
    Ryuzo Abe
  5. Progress of Theoretical Physics Vol. 46 No. 4 (1971) pp. 1054-1070 :
    Scaling with a Parameter in Spin Systems near the Critical Point. I
    Masuo Suzuki
  6. Progress of Theoretical Physics Vol. 46 No. 5 (1971) pp. 1337-1359 :
    Relationship among Exactly Soluble Models of Critical Phenomena. I
    Masuo Suzuki
  7. Progress of Theoretical Physics Vol. 49 No. 2 (1973) pp. 442-452 :
    Critical Exponents and Scaling Relations in 1/n Expansion
    Ryuzo Abe and Shinobu Hikami

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