分形与凝聚态物理

The Fractal and The Condensed State Physics

分形(Fractal)是于1973年由曼德布罗特(Mandelbrot)首先提出来的,他的专著《分形一形,机遇和维数》于1975年出版,标志着分形理论的正式诞生。他对分形的定义是:其组成部分与整体以某种方式相似的"形"叫做分形。分形研究受到如此广泛重视的原因是:一是它具有广泛而巨大的实用价值;二是它有着重大的理论价值。分形给人们展示了一类具有标度不变对称性的全新世界,在此世界中可能存在着许多新的物理规律和特征。本文将简要介绍有关规则分形和随机分形在凝聚态物理中的应用。

The Fractal have been first put forward by B. B. Mandelbrot in 1973. His 《Fractals, Form,Chance and Dimension》 have been published in 1975, It marked the birth of the fractal theory. A fractal is a shape made of parts similar to the whole in some way. The cause of lay stress on the fractal research are: one side, the fractal has a giant the value of application, and another side, the fractal has great the value of theory. The nature of the scaling and the self-similarity in the fractal is being revealed, and there exist many of the new physical laws and characteristics. In this work the rule fractal and the random fractal application in the Condensed State Physics was expounded.