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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()-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。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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Key words:
- fractal dimensionality /
- configuration entropy /
- evolution dynamics
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Mandelbrot B B. The Fractal Geometry of Nature. New Yark: W. H. Freeman, 1982. Feder J. Fractals. New York, London: Plenum Press, 1988. Renyi A. 2nd Prague Conf. on Information Theory, Statistical Decision Function, Random Processes, Prague, 1968: 546-556. Hawkes J. Proc London Math Soc, 1974, 3(28): 700. Hong J X, Shen X Y, et al. Acta Physica Sinica, 1987, 36: 1313. 董连科, 吕国浩, 王克钢, 等. 髙压物理学报, 1990, 4(3): 187. -
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