IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v456y2016icp244-255.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437116300437
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2016.03.045?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    2. 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.
    3. Slobodan Maletić & Danijela Horak & Milan Rajković, 2012. "Cooperation, Conflict And Higher-Order Structures Of Social Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(supp0), pages 1-29.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bosker, Maarten & Brakman, Steven & Garretsen, Harry & Schramm, Marc, 2008. "A century of shocks: The evolution of the German city size distribution 1925-1999," Regional Science and Urban Economics, Elsevier, vol. 38(4), pages 330-347, July.
    2. Klein, Alexander & Leunig, Tim, 2013. "Gibrat’s Law and the British Industrial Revolution," CAGE Online Working Paper Series 146, Competitive Advantage in the Global Economy (CAGE).
    3. Satyajit Chatterjee & Esteban Rossi‐Hansberg, 2012. "Spinoffs And The Market For Ideas," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(1), pages 53-93, February.
    4. Luc Christiaensen & Ravi Kanbur, 2017. "Secondary Towns and Poverty Reduction: Refocusing the Urbanization Agenda," Annual Review of Resource Economics, Annual Reviews, vol. 9(1), pages 405-419, October.
    5. Rafael González-Val & Arturo Ramos & Fernando Sanz-Gracia & María Vera-Cabello, 2015. "Size distributions for all cities: Which one is best?," Papers in Regional Science, Wiley Blackwell, vol. 94(1), pages 177-196, March.
    6. González-Val, Rafael, 2019. "Lognormal city size distribution and distance," Economics Letters, Elsevier, vol. 181(C), pages 7-10.
    7. Alves, L.G.A. & Ribeiro, H.V. & Lenzi, E.K. & Mendes, R.S., 2014. "Empirical analysis on the connection between power-law distributions and allometries for urban indicators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 175-182.
    8. Stephen J. Redding, 2010. "The Empirics Of New Economic Geography," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 297-311, February.
    9. Segarra, Agustí & Teruel, Mercedes, 2012. "An appraisal of firm size distribution: Does sample size matter?," Journal of Economic Behavior & Organization, Elsevier, vol. 82(1), pages 314-328.
    10. González-Val, Rafael & Lanaspa, Luis & Sanz-Gracia, Fernando, 2013. "Gibrat’s law for cities, growth regressions and sample size," Economics Letters, Elsevier, vol. 118(2), pages 367-369.
    11. Huang, Siyu & Shi, Yi & Chen, Qinghua & Li, Xiaomeng, 2022. "The growth path of high-tech industries: Statistical laws and evolution demands," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    12. Jesús Clemente & Rafael González-Val & Irene Olloqui, 2011. "Zipf’s and Gibrat’s laws for migrations," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 47(1), pages 235-248, August.
    13. Oshiro, Jun & Sato, Yasuhiro, 2021. "Industrial structure in urban accounting," Regional Science and Urban Economics, Elsevier, vol. 91(C).
    14. Birkmaier, Daniel & Wohlrabe, Klaus, 2014. "The Matthew effect in economics reconsidered," Journal of Informetrics, Elsevier, vol. 8(4), pages 880-889.
    15. Albouy, David & Behrens, Kristian & Robert-Nicoud, Frédéric & Seegert, Nathan, 2019. "The optimal distribution of population across cities," Journal of Urban Economics, Elsevier, vol. 110(C), pages 102-113.
    16. Duranton, Gilles & Puga, Diego, 2014. "The Growth of Cities," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 5, pages 781-853, Elsevier.
    17. Rémi Lemoy & Geoffrey Caruso, 2020. "Evidence for the homothetic scaling of urban forms," Environment and Planning B, , vol. 47(5), pages 870-888, June.
    18. Rafael González-Val, 2012. "A Nonparametric Estimation of the Local Zipf Exponent for all US Cities," Environment and Planning B, , vol. 39(6), pages 1119-1130, December.
    19. Marcus Berliant & Axel H. Watanabe, 2018. "A scale‐free transportation network explains the city‐size distribution," Quantitative Economics, Econometric Society, vol. 9(3), pages 1419-1451, November.
    20. Denise PUMAIN, 2012. "Une Théorie Géographique Pour La Loi De Zipf," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 31-54.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:456:y:2016:i:c:p:244-255. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.