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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.
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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. |
-
[1] |
GUO Yun-Jun
, HE Kang-Lin
. Muon Identification Using the Efficiencies Ratio Method at BESⅡ. Chinese Physics C,
2007, 31(11): 1050-1055. |
[2] |
HUANG Wen-Xue
, WANG Yue
, ZHU Zhi-Chao
, TIAN Yu-Lin
, XU Hu-Shan
, SUN Zhi-Yu
, XIAO Guo-Qing
, ZHAN Wen-Long
. Experimental Study of the High-Voltage Breakdown and Simulations for the RFQ Cooler and Buncher RFQ1L. Chinese Physics C,
2006, 30(S2): 261-264. |
[3] |
HU Xi-Duo
, SHAO Ming-Zhu
, LUO Shi-Yu
, LIU Yong-Sheng
, ZHU De-Hai
. Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C,
2004, 28(2): 196-199. |
[4] |
LI Ming-Liang
, ZHU Sheng-Jiang
, CHE Xing-Lai
, YU Ying-Nan
. Research on Two-Quasiparticle Bands in 98Sr. Chinese Physics C,
2004, 28(S1): 75-77. |
[5] |
Guo Hua
. In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C,
1999, 23(5): 459-468. |
[6] |
Yang Jianjun
, Ma Boqiang
, Li Guanglie
. Non-perturbative Quark Propagator and the Study of the Non-trivial Q2 Dependence in the Nucleon Structure Functions. Chinese Physics C,
1997, 21(2): 146-156. |
[7] |
BES Collaboration
. Experimental Study of Resonance f2(1270) in the J/ψ Hadronic Decay. Chinese Physics C,
1993, 17(2): 97-106. |
[8] |
SANG Jian-Ping
, LIU Chao-Shan
, LIU Yong
. Relation Between the Gap at Z=64 Subshell and the Abrupt Transition in the Region N=88~90. Chinese Physics C,
1991, 15(2): 150-157. |
[9] |
ZHU Xiang
, SHEN Wen-Qing
, HU Xiao-Qing
, ZHU Yong-Tai
, WANG Bing
. A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C,
1990, 14(9): 835-841. |
[10] |
WU Zhong-Li
. ANALYSIS OF THE MOMENTUM DISTRIBUTION WIDTH OF THE PREOJECTILE-LIKE-FRAGMENT FROM HEAVY ION COLLISIONS. Chinese Physics C,
1989, 13(8): 752-754. |
[11] |
WANG Man
, LI Jin
, CUI Xiang-Zong
, XIA Xiao-Mi
, LAI Yuan-Fen
, YAO Xiao-Guang
. PROTOTYPE OF END CAP SHOWER COUNTERAND ITS BEAM TEST. Chinese Physics C,
1987, 11(3): 321-326. |
[12] |
Sa Ben-hao
, Zhang Xi-zhen
, Li Zhu-xia
, Shi Yi-jin
. A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C,
1980, 4(3): 398-400. |
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