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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
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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
  • Publish Date: 05 Sep 1990
    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.

     

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    • References(7)
  • 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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