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Critical behavior of a stochastic anisotropic Bak–Sneppen model

Author

Listed:
  • Jihui Han

    (School of Computer and Communication Engineering, Zhengzhou University of Light Industry)

  • Wei Li

    (Complexity Science Center, Central China Normal University)

  • Zhu Su

    (National Engineering Laboratory for Technology of Big Data Applications in Education, Central China Normal University)

  • Webing Deng

    (Complexity Science Center, Central China Normal University)

Abstract

In this paper we present our study on the critical behavior of a stochastic anisotropic Bak–Sneppen (saBS) model, in which a parameter α is introduced to describe the interaction strength among nearest species. We estimate the threshold fitness f c and the critical exponent τ r by numerically integrating a master equation for the distribution of avalanche spatial sizes. Other critical exponents are then evaluated from previously known scaling relations. The numerical results are in good agreement with the counterparts yielded by the Monte Carlo simulations. Our results indicate that all saBS models with nonzero interaction strength exhibit self-organized criticality, and fall into the same universality class, by sharing the universal critical exponents.

Suggested Citation

  • Jihui Han & Wei Li & Zhu Su & Webing Deng, 2017. "Critical behavior of a stochastic anisotropic Bak–Sneppen model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(11), pages 1-6, November.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:11:d:10.1140_epjb_e2017-80022-y
    DOI: 10.1140/epjb/e2017-80022-y
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    Statistical and Nonlinear Physics;

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