| 最短轨道凝聚模型的相变 |
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| 引用本文： | 龙超云,李后强,罗文锋,朱治军. 最短轨道凝聚模型的相变[J]. 计算物理, 1998, 15(4): 435-438 |
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| 作者姓名： | 龙超云 李后强 罗文锋 朱治军 |
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| 作者单位： | 1. 贵州大学物理系, 贵阳 550025;2. 四川大学物理系, 成都 610064;3. 美国休斯顿大学物理系 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 应用重整化群计算最短轨道模型的生长几率分布{Pα,i}及其构型权重Cα(2×2原胞和3×3原胞),从而得出多分形热力学的配分函数Z(q,L),自由能F(q,L),能量E(q,L),比热c(q,L)和广义维数Dq,结果表明该模型在q=qc≈0处发生相变,即当q < qc时,生长几率分布{Pα,i}不具有多分形性质。
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| 关 键 词： | 分形 重整化群 相变 |
| 收稿时间： | 1997-05-26 |
| 修稿时间： | 1998-04-27 |
PHASE TRANSITION OF THE SHORTEST-PATH AGGREGATION |
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| Long Chaoyun,Li Houqiang,Luo Wenfeng,Zhu Zhijun. PHASE TRANSITION OF THE SHORTEST-PATH AGGREGATION[J]. Chinese Journal of Computational Physics, 1998, 15(4): 435-438 |
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| Authors: | Long Chaoyun Li Houqiang Luo Wenfeng Zhu Zhijun |
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| Affiliation: | 1. Department of physics, Guizhou University, Guiyang 550025;2. Department of physics, Sichuan University, Chengdu 610064;3. Department of physics, Houston University, Houston, USA |
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| Abstract: | The growth probabilities {Pα,i} and configuration weights Cα (for 2×2 cell and 3×3 cell) are obtained by using the renormalization-group method. The "partition function" Z(q,L), "Free energy" F(q,L),"energy" E(q,L),"specific heat" c(q,L) and hierarchical dimensions Dq are calculated. The evidence has been found for suggesting the existence of phase transition in the multifractal spectrum of the SPA model and position of critical point qc=0. In the words, the distribution of growth probability has no multifractal features. |
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| Keywords: | fractal renormalization-group phase transition |
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