Scaling Theory and Fractal Geometry

DONG Lian-Ke; L&uuml; Guo-Hao; WANG Ke-Gang; WANG Xiao-Wei

doi:10.11858/gywlxb.1990.03.004

Volume 4 Issue 3

Jul 2015

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Chinese Journal of High Pressure Physics > 1990 > 4(3): 187-193 .

DONG Lian-Ke, Lü Guo-Hao, WANG Ke-Gang, WANG Xiao-Wei. Scaling Theory and Fractal Geometry[J]. Chinese Journal of High Pressure Physics, 1990, 4(3): 187-193 . doi: 10.11858/gywlxb.1990.03.004

Citation:

DONG Lian-Ke, Lü Guo-Hao, WANG Ke-Gang, WANG Xiao-Wei. Scaling Theory and Fractal Geometry[J]. Chinese Journal of High Pressure Physics, 1990, 4(3): 187-193 . doi: 10.11858/gywlxb.1990.03.004

DONG Lian-Ke, Lü Guo-Hao, WANG Ke-Gang, WANG Xiao-Wei. Scaling Theory and Fractal Geometry[J]. Chinese Journal of High Pressure Physics, 1990, 4(3): 187-193 . doi: 10.11858/gywlxb.1990.03.004

Citation:

DONG Lian-Ke, Lü Guo-Hao, WANG Ke-Gang, WANG Xiao-Wei. Scaling Theory and Fractal Geometry[J]. Chinese Journal of High Pressure Physics, 1990, 4(3): 187-193 . doi: 10.11858/gywlxb.1990.03.004

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Scaling Theory and Fractal Geometry

doi: 10.11858/gywlxb.1990.03.004

1.
Institute of Metal Research, Academia Sinica, Shenyang 110015, China;
2.
International Center for Materials Physics, Academia Sinica, Shenyang 110015, China;
3.
Shenyang Institute of Technology, Shenyang 110016, China

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Corresponding author: DONG Lian-Ke
Received Date: 06 Mar 1990
Rev Recd Date: 06 Mar 1990
Issue Publish Date: 05 Sep 1990

Abstract

Abstract

In this paper, the relation of perimeter-are and the length formula of ordinary fractal curve in fractal are considered by the method of the dimensional analysis; the quantitative relation between the ordinary scaling transformation and scaling transformation in fractal is established. Finally, we give F-P equation of fractional Brownian moton.
- Scaling,
- fractal,
- fraction

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References(7)

References

Mandelbrot B B. The Fractal Geometry of Nature. W H Freemann. San Fransico, 1983.

Mu Z Q, Lung C W. J Phys D, 1983, 21: 848.

Xie H P. Chinese Science Bulletion, 1989, 34: 1292.

穆在勤, 龙期威. 材料科学进展, 1989, 3(2): 110.

Feder J. Fractal Plenum Press. New York and London, 1988: 201.

Feder J. Fractal Plenum Press. New York and London, 1988: 177.

Aharony A. Scaling Phenomena in Disordered System. Ed by R Pynn, A Skjeltop. New York and London: Plenum Publishing Corporation, 1985: 289.

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Scaling Theory and Fractal Geometry

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