A CLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL (Ⅱ)——LIMITATIONS OF THE Q-APPROXIMATION

SHI HE; HAO BAI-LIN

doi:10.7498/aps.29.1564

Abstract
We present an analysis of further physical consequences of the Q-approximation and a discussion on the number of closed paths taken into account by this method. A counter example ("Incense" graph in Fig. 3) shows there exists no rotation angle mapping which would give the proper number of closed paths on a 3-dimensional lattice.
Authors and contacts
SHI HE,

HAO BAI-LIN

1.
中国科学院
References

[1]

Cited By
[1]

[1]	Yuan Xiao-Juan. Effects of trimodal random magnetic field on spin dynamics of quantum Ising chain. Acta Physica Sinica, 2023, 72(8): 087501. doi: 10.7498/aps.72.20230046
[2]	Yin Li-Jun, Wu Jin-Rong, Hou Qian-Nan, Ma Li. Surface reverberation based on small-slope approximation in deep water. Acta Physica Sinica, 2021, 70(17): 174303. doi: 10.7498/aps.70.20210404
[3]	Ma Chuang, Yang Xiao-Long, Chen Han-Shuang, Zhang Hai-Feng. A mean-field approximation based BP algorithm for solving the stochastic block model. Acta Physica Sinica, 2021, 70(22): 228901. doi: 10.7498/aps.70.20210511
[4]	Si Qing-Dan, Luo Xiu-Juan, Zeng Zhi-Hong. Analyses on limitations of coherent field imaging principle. Acta Physica Sinica, 2014, 63(10): 104203. doi: 10.7498/aps.63.104203
[5]	Zhang Jia-Ming, Xu Xiao-Dong, Sun Bao-Hua. A model for rp-process within the (p,)-(,p) equilibrium approximation and its application. Acta Physica Sinica, 2013, 62(13): 132501. doi: 10.7498/aps.62.132501
[6]	Mo Jia-Qi, Lin Wan-Tao. Approimate solution for three dimentional equatorial sea-air oscillator model. Acta Physica Sinica, 2008, 57(3): 1291-1294. doi: 10.7498/aps.57.1291
[7]	Han Xiang－Lin. The approximate solution for a combustion model. Acta Physica Sinica, 2004, 53(12): 4061-4064. doi: 10.7498/aps.53.4061
[8]	SHAO YUAN-ZHI, LAN TU, LIN GUANG-MING. DYNAMICAL TRANSITION AND TRICRITICAL POINTS OF 3D KINETIC ISING SPIN SYSTEM . Acta Physica Sinica, 2001, 50(5): 942-947. doi: 10.7498/aps.50.942
[9]	FANG XI-MING, FENG MANG, SHI LEI, GAO KE-LIN, ZHU XI-WEN. EXACT SOLUTION OF JAYNES-CUMMINGS MODEL UNDER ROTATIONLESS WAVE APPROXIMATION USING-COHERENT-STATE REPRESENTATION. Acta Physica Sinica, 1997, 46(11): 2160-2165. doi: 10.7498/aps.46.2160
[10]	Chen Xiao-Yu. . Acta Physica Sinica, 1995, 44(9): 1484-1488. doi: 10.7498/aps.44.1484
[11]	YI LIN, YAO KAI-LUN. THEORY OF THREE-DIMENSIONAL QUANTUM SPIN GLASS (I)——STATIC REPTICA SYMMETRY APPROACH. Acta Physica Sinica, 1993, 42(3): 488-495. doi: 10.7498/aps.42.488
[12]	JI DA-REN, ZHANG JIAN-BO. MONTE CARLO SIMULATIONS OF THE ISING MODEL ON THREE-DIMENSIONAL RANDOM LATTICE USING THE CLUSTER ALGORITHM. Acta Physica Sinica, 1993, 42(11): 1741-1746. doi: 10.7498/aps.42.1741
[13]	Teng Bao-hua. GREEN'S FUNCTION APPROACH TO 3-DIMENSIONAL ISING MODEL. Acta Physica Sinica, 1991, 40(5): 826-832. doi: 10.7498/aps.40.826
[14]	ZHANG ZHAO-QING. AN ALTERNATIVE DERIVATION OF COHERENT-POTENTIAL APPROXIMATION FOR DISORDERED ALLOYS-TIGHT BINDING MODEL. Acta Physica Sinica, 1982, 31(3): 285-293. doi: 10.7498/aps.31.285
[15]	ZHANG ZHAO-QING. DIAGRAMMATIC EQUIVALENT OF COHERENT POTENTIAL APPROXIMATION FOR DISORDERED n-COMPONENT ALLOYS. Acta Physica Sinica, 1981, 30(1): 97-104. doi: 10.7498/aps.30.97
[16]	SHI HE, HAO BAI-LIN. CLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL (Ⅲ)——THE POSSIBILITY OF IMPROVING THE NUMERICAL RESULTS WITH HYPERCOMPLEX NUMBER SYSTEMS. Acta Physica Sinica, 1981, 30(9): 1225-1233. doi: 10.7498/aps.30.1225
[17]	SHI HE, HAO BAI-LIN. CLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL (Ⅳ)——THE APPROXIMATE INTERPOLATION FORMULA FOR THE PARTITION FUNCTION. Acta Physica Sinica, 1981, 30(9): 1234-1241. doi: 10.7498/aps.30.1234
[18]	SHI HE, XU YI-CHAO, HAO BAI-LIN. A CLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL. Acta Physica Sinica, 1978, 27(1): 47-62. doi: 10.7498/aps.27.47
[19]	. . Acta Physica Sinica, 1966, 22(4): 510-514. doi: 10.7498/aps.22.510
[20]	CHENG LU. THE PERTURBATION THEORY FOR THE FIRST-ORDER APPROXIMATION OF THE DIFFRACTION PROBLEMS. Acta Physica Sinica, 1966, 22(2): 223-232. doi: 10.7498/aps.22.223

Catalog

Vol. 29, Issue 12 - 1980-06-20

Metrics

Abstract views: 7272
PDF Downloads: 526
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

A CLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL (Ⅱ)——LIMITATIONS OF THE Q-APPROXIMATION

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

A CLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL (Ⅱ)——LIMITATIONS OF THE Q-APPROXIMATION

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About