The Phase Transition in Z(N) Potts Spin Model: An Analytical Analysis

SONG Yong-Shen; CUI Jian-Ying; YANG Ji-Min; LU Gong-Ru; LIU Wen-Sheng

Chinese Physics C> 1992, Vol. 16> Issue(7) : 588-595

The Phase Transition in Z(N) Potts Spin Model: An Analytical Analysis

Physics Department,Sichuan University,Chengdu 610064Physics Department,Henan Normal University,Xinxiang 453002

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Abstract：
We study the phase transition in Z(N) Pots spin model by an analytical approach—the generalized cumulant expansion with mean field approximation.As a test,we perform the expansion to the third order correction for Z(3),Z(4),Z(5) and Z(60 cases.The critical points turn out to be closer to the exact values when higher corrections are taken into account.

References

[1]

For a review, see F. Y. Wu, Rev. Mod. Phys., 54(1982), 235.[2] Schick, M. and R. B. Griffiths, J. Phys., A10(1977), 2123.[3] Blote, H. W. and R. H. Swendsen, Phys. Rev. Lett, 43(1979), 799.[4] Ditziam, R. V. and L. P. Kadanoff, Phys., A12(1979), L229.[5] Ono, I. and K. Ito, 1982 "Monte Carlo Simulation and Pair Approximation on the Phase Transition of Restricted Orientational Lattice Model for Liquid Crystal", Preprint.[6] L. G. Yaffe and B. Svetitsky, Phys. Rev., D26(1982), 963; Nucl. Phys., B210.[7] E. Meeron, J. Chem. Phys., 27(1957), 1238; R. Kubo, J. Phys. Soc. Japan, 17(1962), 1100[8] Y. X. Song, SU-DP-90-O1; SU-DP-90-02; submitted to J. Phys. A.[9] Y. X. Song, J. M. Yang, G. R. Lu, Submitted to J. Stat. Phys.[10] Y. X. Song and Y. Dai, J. Math. Phys., 31(1990), 2015.

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SONG Yong-Shen, CUI Jian-Ying, YANG Ji-Min, LU Gong-Ru and LIU Wen-Sheng. The Phase Transition in Z(N) Potts Spin Model: An Analytical Analysis[J]. Chinese Physics C, 1992, 16(7): 588-595.

SONG Yong-Shen, CUI Jian-Ying, YANG Ji-Min, LU Gong-Ru and LIU Wen-Sheng. The Phase Transition in Z(N) Potts Spin Model: An Analytical Analysis[J]. Chinese Physics C, 1992, 16(7): 588-595. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

The Phase Transition in Z(N) Potts Spin Model: An Analytical Analysis

Corresponding author: SONG Yong-Shen,

Physics Department,Sichuan University,Chengdu 610064Physics Department,Henan Normal University,Xinxiang 453002

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-07-05

Abstract: We study the phase transition in Z(N) Pots spin model by an analytical approach—the generalized cumulant expansion with mean field approximation.As a test,we perform the expansion to the third order correction for Z(3),Z(4),Z(5) and Z(60 cases.The critical points turn out to be closer to the exact values when higher corrections are taken into account.