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Between disorder and order: A case study of power law

Author

Listed:
  • Cao, Yong
  • Zhao, Youjie
  • Yue, Xiaoguang
  • Xiong, Fei
  • Sun, Yongke
  • He, Xin
  • Wang, Lichao

Abstract

Power law is an important feature of phenomena in long memory behaviors. Zipf ever found power law in the distribution of the word frequencies. In physics, the terms order and disorder are Thermodynamic or statistical physics concepts originally and a lot of research work has focused on self-organization of the disorder ingredients of simple physical systems. It is interesting what make disorder–order transition. We devise an experiment-based method about random symbolic sequences to research regular pattern between disorder and order. The experiment results reveal power law is indeed an important regularity in transition from disorder to order. About these results the preliminary study and analysis has been done to explain the reasons.

Suggested Citation

  • Cao, Yong & Zhao, Youjie & Yue, Xiaoguang & Xiong, Fei & Sun, Yongke & He, Xin & Wang, Lichao, 2016. "Between disorder and order: A case study of power law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 244-255.
    • Handle: RePEc:eee:phsmap:v:456:y:2016:i:c:p:244-255
    DOI: 10.1016/j.physa.2016.03.045
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    References listed on IDEAS

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    1. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
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    3. Marco Bardoscia & Giancarlo De Luca & Giacomo Livan & Matteo Marsili & Claudio J. Tessone, "undated". "The Social Climbing Game," Working Papers ETH-RC-12-014, ETH Zurich, Chair of Systems Design.
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    1. Chen, Xiongwen & Guo, Qinfeng & Brockway, Dale G., 2017. "Power Laws in Cone Production of Longleaf Pine across Its Native Range in the United States," Sustainable Agriculture Research, Canadian Center of Science and Education, vol. 6(4), November.

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