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

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

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

Abstract
HTML
Reference
Related

PDF

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.

[1]	Xue Pan , Yanhua Zhang , Lizhu Chen , Mingmei Xu , Yuanfang Wu . Finite-size behaviour of generalized susceptibilities in the whole phase plane of the Potts model. Chinese Physics C, 2018, 42(2): 023110. doi: 10.1088/1674-1137/42/2/023110
[2]	HOU Zhan-Feng , ZHANG Yu , LIU Yu-Xin . Nuclear Shape Phase Transition in the Shell Model. Chinese Physics C, 2006, 30(S2): 48-52.
[3]	ZHANG Ying-Xun , WU Xi-Zhen , LI Zhu-Xia . Dynamical Behaviors of Liquid-Gas Phase Transition in Nuclei. Chinese Physics C, 2002, 26(10): 1065-1071.
[4]	PAN Yue-Wu , QU Sheng-Chun , CUI Qi-Liang , ZHANG Wei-Wei , LIU Xi-Zhe , LIU Jing , LIU Bing-Bing , GAO Chun-Xiao , ZOU Guang-Tian . Pressure-Induced Phase Transition of Nanocrystalline Zinc Sulfide. Chinese Physics C, 2001, 25(S1): 58-61.
[5]	Ren Xuezao , Chen Ying , Zhu Yunlun . Analytical Study of Lattice U(1) Gauge-Higgs ModelsWith Fixed Modulus. Chinese Physics C, 1998, 22(4): 315-321.
[6]	Ren Xuezao , Zhu Yunlun , Chen Ying . Analytical study of Lattice U(1) and U(1)-Higgs Models at Finite Temperature With Symanzik Action. Chinese Physics C, 1998, 22(6): 492-498.
[7]	Wang Hui , Zheng Yuming , Sa Benhao , Zhang Xiaoze . Incomplete-Fusion-Fragmentation Model and Nuclear Liquid-Gas Phase Transition. Chinese Physics C, 1997, 21(1): 44-50.
[8]	Liu Beishu , Zheng Xite . Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[9]	Zheng Xite , Chen Hong , Lu Zao , He Yuan . Analytical Calculation of the Fixed Length Lattice SU(2)-Higgs Model. Chinese Physics C, 1995, 19(2): 137-142.
[10]	Zhao Peiying . The Analytical Approach for the Two-dimensional O(3) Non-linear σ Model. Chinese Physics C, 1995, 19(2): 143-147.
[11]	Hou Defu , Li Jiarong . The Self-consistent Study of Electroweak Transition. Chinese Physics C, 1994, 18(10): 928-935.
[12]	Lin Hai , Zhang Yang , Liu Lianshou . The Refinement of α Model and the Analytical Calculation of Levy Exponent. Chinese Physics C, 1994, 18(9): 858-864.
[13]	Liu Wensheng , Cui Jianying , Yang Jinmin , Wan Lingde . The Phase Tansitions in Abelian Lattice Gauge Theories at Finite Temperature:An Analytical Analysis. Chinese Physics C, 1994, 18(11): 996-1002.
[14]	WANG Bao-Lin . Analytical Calculation of the Vibrator-Rotor Transition in the Sdg Interacting Boson Model. Chinese Physics C, 1992, 16(5): 475-480.
[15]	LOU Sen-Yue . Deconfinement Phase Transition for the Nontopological Soliton Bag Model and Symmetry Restore Phase Transition for φ⁴ Model. Chinese Physics C, 1991, 15(9): 797-803.
[16]	ZHENG Xi-Te , XU Yong . ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[17]	WANG Jie , YAN Zu-Guo , ZHENG Xi-Te . ANALYTICAL STUDY OF U(1)-HIGGS SYSTEM ON A LATTICE. Chinese Physics C, 1988, 12(3): 329-335.
[18]	XU Gong-Ou , LI Fu-Li . THE PHASE TRANSITION IN THE TWO-LEVEL PAIRING FORCE R(4) MODEL. Chinese Physics C, 1986, 10(2): 235-244.
[19]	CHEN De-Fang , SONG Yong-Shen , CHEN Tian-Lun , ZHENG Xi-Te , HE Xiang-Hao , XIAN Ding-Chang . ON THE ANALYTICAL STUDY IN LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1986, 10(1): 32-39.
[20]	FENG Ren-Fa , ZHUO Yi-Zhong , LI Jun-Qing . ANALYTICAL MODEL FOR THE CALCULATION OF FISSION RATE. Chinese Physics C, 1984, 8(4): 453-460.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2824)
PDF Downloads(457)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.