THE UPPER LIMIT OF CRITICAL TEMPERATURE OF N DIMENSIONAL ISING MODEL

LUAN CHANG-FU

doi:10.7498/aps.38.497

Abstract
In the present article, by using coupling technique, we establish the relation between Ising model and contact process. From this relation, the upper limit of critical temperature of higher dimensional Ising model is obtained. That is, the critical point βc(n) of n-dimensional Ising model must satisfy exp{2βc(n)(2n-1)}·(exp{2βc(n)}-1)≥2/2n-1 and especially, crirical point βc(3) of the three-dimensional Ising model must satisfy βc(3)> 1/2ln1.17.
Authors and contacts
LUAN CHANG-FU

1.
中山大学数学系
References

Cited By

[1]	Wang Chun-Yang, Kong Xiang-Mu. Critical temperature of the Gauss system under long-range interactions. Acta Physica Sinica, 2005, 54(9): 4365-4369. doi: 10.7498/aps.54.4365
[2]	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
[3]	WANG FU-GAO, HU JIA-ZHEN. CRITICAL TEMPERATURE CURVES FOR THE GENERALIZED MIXED SPIN MODEL. Acta Physica Sinica, 1993, 42(7): 1179-1187. doi: 10.7498/aps.42.1179-2
[4]	TANG KUN-FA, HU JIA-ZHEN. THE CRITICAL TEMPERATURE CURVE OF THE GENERALIZED MIXED SPIN MODEL. Acta Physica Sinica, 1988, 37(1): 132-135. doi: 10.7498/aps.37.132
[5]	WENG ZHENG-YU, WU HANG-SHENG. THEORY OF THE CRITICAL TEMPERATURE FOR SUPERCONDUCTORS WITH SMALL λ(III). Acta Physica Sinica, 1986, 35(4): 549-552. doi: 10.7498/aps.35.549
[6]	WANG GUANG-HOU. HYDROGEN DISTRIBUTION IN THE ION IMPLANTED SUPERCONDUCTOR PdCu AND ITS TRANSITION TEMPERATURE. Acta Physica Sinica, 1984, 33(10): 1434-1436. doi: 10.7498/aps.33.1434
[7]	WU HANG-SHENG, WENG ZHEN-YU. THEORY OF THE CRITICAL TEMPERATURE FOR SUPERCONDUCTORS WITH SMALL λ (Ⅰ). Acta Physica Sinica, 1984, 33(7): 975-988. doi: 10.7498/aps.33.975
[8]	WENG ZHENG-YU, WU HANG-SHENG. THEORY OF THE CRITICAL TEMPERATURE FOR SUPERCONDUCTORS WITH SMALLλ (Ⅱ). Acta Physica Sinica, 1984, 33(9): 1326-1331. doi: 10.7498/aps.33.1326
[9]	GONG CHANG-DE, XING DING-YU, LIU MIE. DISCUSSION ON THE SUPERCONDUCTING CRITICAL TEMPERATURE IN A N-S MULTI-FILM STRUCTURE. Acta Physica Sinica, 1984, 33(7): 967-974. doi: 10.7498/aps.33.967
[10]	LI HONG-CHENG. MODIFICATION OF THE COEFFICIENTS OF THE SERIES FORMULA FOR THE SUPERCONDUCTING CRITICAL TEMPERATURE. Acta Physica Sinica, 1982, 31(5): 693-698. doi: 10.7498/aps.31.693
[11]	LEI XIAO-LIN. SINGULAR POINT zph AND THE SERIES FOR SUPERCONDUCTING CRITICAL TEMPERATURE. Acta Physica Sinica, 1981, 30(10): 1376-1382. doi: 10.7498/aps.30.1376
[12]	Wang Zhong-yan, Zhou Zi-fang, Mao De-qiang, Zhang Xi-xiang, Wu Hang-sheng. AN APPROXIMATE T_c FORMULA OF TYPE A SUPERCONDUCTORS (Ⅱ)——IN CASE OFμ^{^≠0}. Acta Physica Sinica, 1980, 29(7): 843-849. doi: 10.7498/aps.29.843*
[13]	WU HANG-SHENG, ZHOU ZI-FANG, WANG ZHONG-YAN, ZHANG XI-XIANG. AN APPROXIMATE T_c FORMULA OF TYPE A SUPERCONDUCTORS (Ⅰ)——CASE OF μ^= 0. Acta Physica Sinica, 1980, 29(4): 409-418. doi: 10.7498/aps.29.409*
[14]	LEI XIAO-LIN. A NOTE ON THE RADIUS OF CONVERGENCE OF THE SERIES FOR SUPERCONDUCTING CRITICAL TEMPERATURE. Acta Physica Sinica, 1980, 29(10): 1333-1337. doi: 10.7498/aps.29.1333
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[16]	JI GUANG-DA, CAI JUN-DAO. APPLICATIONS OF THE SERIES FORMULA OF SUPERCON-DUCTING CRITICAL TEMPERATURE. Acta Physica Sinica, 1979, 28(6): 853-864. doi: 10.7498/aps.28.853
[17]	CAI JUN-DAO, JI GUANG-DA, WU HANG-SHENG, CAI JIAN-HUA, GONG CHANG-DE. THEORY OF THE SUPERCONDUCTING CRITICAL TEMPERATURE (Ⅲ). Acta Physica Sinica, 1979, 28(3): 393-405. doi: 10.7498/aps.28.393
[18]	GONG CHANG-DE, WU HANG-SHENG, CAI JIAN-HUA, CAI JUN-DAO, JI GUANG-DA. THEORY OF THE SUPERCONDUCTING CRITICAL TEMPERATURE (Ⅱ). Acta Physica Sinica, 1978, 27(1): 85-93. doi: 10.7498/aps.27.85
[19]	CAI JIAN-HUA, WU HANG-SHENG. SEARCH FOR A RIGOROUS FORMULA OF THE SUPERCONDUCTING CRITICAL TEMPERATURE. Acta Physica Sinica, 1977, 26(6): 550-552. doi: 10.7498/aps.26.550
[20]	WU HANG-SHENG, CAI JIAN-HUA, GONG CHANG-DE, JI GUANG-DA, CAI JUN-DAO. THEORY OF THE SUPERCONDUCTING CRITICAL TEMPERATURE (Ⅰ). Acta Physica Sinica, 1977, 26(6): 509-520. doi: 10.7498/aps.26.509

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Vol. 38, Issue 3 - 1989-02-05

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