| 多分形测度的正则系综描述 |
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| 引用本文： | 屈世显 黄琳. 多分形测度的正则系综描述[J]. 陕西师范大学学报(自然科学版), 1997, 25(2): 28-30 |
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| 作者姓名： | 屈世显 黄琳 |
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| 作者单位： | 西安石油学院基础课部，陕西师范大学物理学系 |
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| 摘 要： | 借助多分形公式与热力学、统计物理学间的类比关系，建立了多分形测度的正则系综描述．根据系综理论，证明了多分形测度的ｑ阶矩等于相应正则系综的配分函数．这为发展多分形理论，提供了另一思路
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| 关 键 词： | 分形；多分形；配分函数；正则系综 |
Canonical ensemble description of multifractal measure |
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| Qu Shixian ,Huang Lin ,Zheng Hairong. Canonical ensemble description of multifractal measure[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1997, 25(2): 28-30 |
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| Authors: | Qu Shixian Huang Lin Zheng Hairong |
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| Affiliation: | Qu Shixian 1,Huang Lin 2,Zheng Hairong 2 |
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| Abstract: | Using the analogy relation between multifractal formula and thermodynamics and statistical physics, a canonical ensemble of multifractal measure has been estiblished. It has been proved that the q th momentum of multifractal measure is the same as the partition function of the corresponding ensenmble in terms of canonical ensemble theory. It may provide another way to develope the statitical physics theory of multifractal. |
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| Keywords: | fractal multifractal partition function canonical ensemble |
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