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Measures of Complexity and Chaos pp 461–464Cite as

Characterization of Irregular Interfaces: Roughness and Self-Affine Fractals

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Part of the book series: NATO ASI Series ((NSSB,volume 208))

Abstract

Many physical systems with complex spatiotemporal behavior give rise to structures with fractal geometries in phase space or real space1,2. The paradigm of such a fractal structure in phase space is the strange attractor appearing in the chaotic motion of a dissipative system. The structure of a strange attractor is statistically self-similar. Several techniques of evaluating the fractal dimension have been widely used3.

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References

  1. B. B., Mandelbrot, “The Fractal Geometry of Nature”, Freeman, New York (1982).

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  2. J. Feder, “Fractals”, Plenum Press, New York (1988).

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  3. G. Mayer-Kress, “Dimensions and Entropies in Chaotic Systems”, Springer-Verlag, Berlin (1986).

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  4. P. Meakin, in: “Phase Transitions and Critical Phenomena”, Vol. 12, C. Domb and J.L. Lebowitz, eds., Academic Press, London (1988).

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  9. M. A. Rubio, C. Edwards, A. Dougherty and J. P. Gollub, to be published (1989).

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Author information

Authors and Affiliations

  1. Physics Department, Haverford College, Haverford, PA, 19041, USA

    Miguel A. Rubio, Andrew Dougherty & Jerry P. Gollub

  2. Dept. Fisica Fundamental, Universidad Nacional de Educación a Distancia, Aptdo, Correos 60141, Madrid, 28080, Spain

    Miguel A. Rubio

  3. Physics Department, University of Pennsylvania, Philadelphia, PA, 19104, USA

    Jerry P. Gollub

Authors
  1. Miguel A. Rubio
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  2. Andrew Dougherty
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  3. Jerry P. Gollub
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Editor information

Editors and Affiliations

  1. Department of Physics, Bryn Mawr College, 19010-2899, Bryn Mawr, Pennsylvania, USA

    Neal B. Abraham  & Alfonso M. Albano  & 

  2. Naval Air Development Center, 18974, Warminster, Pennsylvania, USA

    Anthony Passamante

  3. Department of Physiology and Biochemistry, The Medical College of Pennsylvania, 3300 Henry Ave., 19129, Philadelphia, Pennsylvania, USA

    Paul E. Rapp

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© 1989 Plenum Press, New York

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Rubio, M.A., Dougherty, A., Gollub, J.P. (1989). Characterization of Irregular Interfaces: Roughness and Self-Affine Fractals. In: Abraham, N.B., Albano, A.M., Passamante, A., Rapp, P.E. (eds) Measures of Complexity and Chaos. NATO ASI Series, vol 208. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0623-9_63

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  • DOI: https://doi.org/10.1007/978-1-4757-0623-9_63

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0625-3

  • Online ISBN: 978-1-4757-0623-9

  • eBook Packages: Springer Book Archive

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