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Is the fossil record indicative of a critical system?

Author

Listed:
  • Naeem Jan

    (Physics Department, St Francis Xavier University, Antigonish, Nova Scotia, Canada B2G 2W5, Canada)

  • Leo Moseley

    (Physics Department, St Francis Xavier University, Antigonish, Nova Scotia, Canada B2G 2W5, Canada;
    Department of Computer Science, Mathematics and Physics, U.W.I., Cave Hill, Barbados)

  • Tane Ray

    (Physics Department, St Francis Xavier University, Antigonish, Nova Scotia, Canada B2G 2W5, Canada;
    Department of Computer Science, Mathematics and Physics, U.W.I., Cave Hill, Barbados)

  • Dietrich Stauffer

    (Physics Department, St Francis Xavier University, Antigonish, Nova Scotia, Canada B2G2 W5, Canada;
    Institute for Theoretical Physics, Cologne University, D-50923 Köln, Euroland)

Abstract

We examine the distribution of the relative fractional fluctuation of the magnetisation of a 3D Ising ferromagnet at the critical temperatureTcby considering a histogram of frequency of the fractional magnetisation. The distribution is highly non-Gaussian and is reminiscent of the histogram of extinction intensity for fossil genera shown by Raup1(1991) (see also Newman (1996)). The graph of relative fractional change ofmagnetisation vs MC time is compatible in appearance with the graph showing the variation of the number of extinction of families of marine animals with time (over hundreds of millions of years) given by Raup (1991), Sepkoski (1993) or Newman (1996). Our results show a power law dependence usually taken as evidence for the existence of a critical system.

Suggested Citation

  • Naeem Jan & Leo Moseley & Tane Ray & Dietrich Stauffer, 1999. "Is the fossil record indicative of a critical system?," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 2(02), pages 137-141.
    • Handle: RePEc:wsi:acsxxx:v:02:y:1999:i:02:n:s0219525999000084
    DOI: 10.1142/S0219525999000084
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