| 分形维数与熵间的关系 |
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| 引用本文： | 屈世显,董连科.分形维数与熵间的关系[J].高压物理学报,1993,7(2):127-131. |
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| 作者姓名： | 屈世显 董连科 |
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| 作者单位： | 西安石油学院，中国科学院金属研究所 西安 710061，沈阳 110015 |
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| 摘 要： | 分形维数是熵的另一种量度，并且还是一个态函数，这就是分形维数与熵间的定量关系或者叫做分形维数的物理意义。我们用非晶结构的位形（信息）熵与信息维数随压力变化的标度关系S1(ε)∝ε-D1证明了我们的论断。这对于演化动力学的发展，特别是对于Prigogine提出的解决动力学与热力学的统一具有重要意义，同时也指出了用比例关系式作为测量分形维数的实验原理应该注意的问题。
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| 关 键 词： | 分形维数 位形熵 演化动力学 |
| 收稿时间： | 1992-11-13; |
THE RELATION BETWEEN FRACTAL DIMEN-SIONALITY AND ENTROPY |
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| Qu Shixian.THE RELATION BETWEEN FRACTAL DIMEN-SIONALITY AND ENTROPY[J].Chinese Journal of High Pressure Physics,1993,7(2):127-131. |
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| Authors: | Qu Shixian |
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| Institution: | 1. Department of Basic Courses, Xi'an Petroleum Institute, Xi'an 710061, China;2. Institute of Metal Research, Academia Sinica, Shenyang 110015, China |
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| Abstract: | The relation between fractal dimensionality and entropy was demonstrated theoretically in the paper, in which the fractal dimensionality is a measure of the entropy and a state function. This is the physical meaning of fractal dimensionality. The relation between the configuration (information)entropy and the information dimensionality in amorphous structure could be used to prove our present conclusion.This result is of significance in the uniting of evolution dynamics and thermodynamics. |
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| Keywords: | fractal dimensionality configuration entropy evolution dynamics |
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