| 复杂Sierpinski地毯上的Potts模型 |
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| 引用本文： | 林沛歆,吴英凯.复杂Sierpinski地毯上的Potts模型[J].北京师范大学学报(自然科学版),1991,27(4):409-415. |
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| 作者姓名： | 林沛歆 吴英凯 |
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| 作者单位： | 北京师范大学物理系，北京师范大学物理系 100875 北京市新外大街，100875 北京市新外大街 |
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| 摘 要： | 考察了复杂Sierpinski地毯上Potts模型的相变与临界现象。给出了其连接性维数D_(con)和(?)_(con)的表达式,并讨论了临界指数随连接性维数(?)_(con)、分形维数D(D_(con))、连接度Q、空隙度L和Potts模型的自旋态数q的变化情况。结果表明存在一定规律性,(?)_(con),D和Q是表征分形的重要参量。还指出了Suzuki的不等式v(d)>v(d~′)(d
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| 关 键 词： | 分形维数 SC Potts模型 连接度 |
POTTS MODEL ON COMPLEX SIERPINSKI CARPETS |
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| Lin Peixin Wu Yingkai.POTTS MODEL ON COMPLEX SIERPINSKI CARPETS[J].Journal of Beijing Normal University(Natural Science),1991,27(4):409-415. |
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| Authors: | Lin Peixin Wu Yingkai |
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| Institution: | Lin Peixin Wu Yingkai Department of Physics,Beijing Normal University,100875,Beijing,PRC |
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| Abstract: | Rhase transitions and critical behaviours of the Ports model on some complex Sierpinski carpets are studied. The expressions of the connectivity dimensionality D_(con) and D_(con) are given for Sierpinski carpets. The variations of the critical exponents with varying connectivity Q, connectivity dimensionality D_(con) fractal dimensionality D(D_(con)), lacunarity L and the number of states of the Potts model q are discussed. It is found that some regularities exist and D_(con) D and Q are important parameters to characterise a fractal. It is also found that Suzuki's inequality, v(d)>v(d')for d
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| Keywords: | fractal Sierpinski carpets Potts model phase transition critical behaviours connectivity dimensionality fractal dimensionality connectivity |
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