IDEAS home Printed from https://ideas.repec.org/a/wsi/acsxxx/v15y2012i05ns0219525912500324.html
   My bibliography  Save this article

Simulating Network Structures Using Bernoulli'S Principle

Author

Listed:
  • YICHEOL HAN

    (Department of Rural Systems Engineering, Seoul National University, Seoul 151-921, Republic of Korea)

  • STEPHAN J. GOETZ

    (Northeast Regional Center for Rural Development and Department of Agricultural Economics and Rural Sociology, Pennsylvania State University, PA 16802-5602, USA)

  • JEONGJAE LEE

    (Department of Rural Systems Engineering and Research Institute for Agriculture and Life Science, Seoul National University, Seoul 151-921, Republic of Korea)

  • SEONGSOO YOON

    (Department of Agricultural and Rural Engineering, Chungbuk National University, Chungbuk 361-763, Republic of Korea)

Abstract

Using the fact that connections between vertices of a network often represent directed and weighted flows, we apply hydraulic principles to develop novel insights into network structure and growth. We develop a network model based on Bernoulli's principle and use it to analyze changes in network properties. Simulation results show that velocity of flow, resistance, fitness and existing connections in a system determine network connections of a vertex as well as overall network structure. We demonstrate how network structure is affected by changes in velocity and resistance, and how one vertex can monopolize connections within a network. Using Bernoulli's principle, we are able to independently reproduce key results in the network literature.

Suggested Citation

  • Yicheol Han & Stephan J. Goetz & Jeongjae Lee & Seongsoo Yoon, 2012. "Simulating Network Structures Using Bernoulli'S Principle," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1-14.
  • Handle: RePEc:wsi:acsxxx:v:15:y:2012:i:05:n:s0219525912500324
    DOI: 10.1142/S0219525912500324
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219525912500324
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S0219525912500324?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. ., 2006. "Physical and Social Indicators," Chapters, in: Middle East Oil Exporters, chapter 5, Edward Elgar Publishing.
    Full references (including those not matched with items on IDEAS)

    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. Janghyuk Youn & Junghoon Lee & Woojin Chang, 2011. "Stock Market Differences In Correlation-Based Weighted Network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(11), pages 1227-1245.
    2. Fa Wang & Li Li & Jian-Ming Hu & Yan Ji & Rui Ma & Rui Jiang, 2009. "A Markov-Process Inspiredcamodel Of Highway Traffic," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 117-131.
    3. Elena Kartashova & Alexey Kartashov, 2006. "Laminated Wave Turbulence: Generic Algorithms I," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(11), pages 1579-1596.
    4. Gündüz, Güngör & Gündüz, Yalin, 2016. "A thermodynamical view on asset pricing," International Review of Financial Analysis, Elsevier, vol. 47(C), pages 310-327.
    5. Çağlar Tuncay, 2007. "Formation Of Languages: Equality, Hierarchy And Teachers," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(06), pages 1061-1070.
    6. Jia-Bei Zeng & Biao Leng & Zhang Xiong & Zheng Qin, 2011. "Pedestrian Dynamics In A Two-Dimensional Complex Scenario Using A Local View Floor Field Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(08), pages 775-803.
    7. Bo Shen & Yun Liu, 2010. "Effects Of Confidence Scale And Network Structure On Minority Opinion Spreading," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(08), pages 1001-1010.
    8. Wen Fang & Jun Wang, 2012. "Statistical Properties And Multifractal Behaviors Of Market Returns By Ising Dynamic Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(03), pages 1-14.
    9. F. W. S. Lima & Georg Zaklan, 2008. "A Multi-Agent-Based Approach To Tax Morale," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(12), pages 1797-1808.
    10. Edina M. S. Luz & F. W. S. Lima, 2007. "Majority-Vote On Directed Small-World Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(08), pages 1251-1261.
    11. H. E. Roman & M. Porto, 2008. "Fractional Brownian Motion With Stochastic Variance: Modeling Absolute Returns In Stock Markets," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(08), pages 1221-1242.
    12. F. W. S. Lima, 2012. "Tax Evasion And Nonequilibrium Model On Apollonian Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(11), pages 1-8.
    13. N. I. Prasianakis & K. B. Boulouchos, 2007. "Lattice Boltzmann Method For Simulation Of Weakly Compressible Flows At Arbitrary Prandtl Number," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 602-609.
    14. Biao Leng & Jianyuan Wang & Xiaoxi Zhao & Jun Fang & Zhang Xiong, 2013. "Out Flow In A Virtual Mtr Station Using A Local View Floor Field Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(06), pages 1-19.
    15. Arvind Kumar Gupta, 2013. "A Section Approach To A Traffic Flow Model On Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(05), pages 1-23.
    16. David E. Hiebeler, 2007. "Transient Dynamics And Quasistationary Equilibria Of Continuous-Time Linear Stochastic Cellular Automata Voter Models With Multiscale Neighborhoods," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 10(supp0), pages 145-165.
    17. K. BERRADA & M. El BAZ & H. ELEUCH & Y. HASSOUNI, 2010. "A Comparative Study Of Negativity And Concurrence Based On Spin Coherent States," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(03), pages 291-305.
    18. M. Patriarca & X. Castelló & J. R. Uriarte & V. M. Eguíluz & M. San Miguel, 2012. "Modeling Two-Language Competition Dynamics," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(03n04), pages 1-24.
    19. Qi Gao & Xintong Ding & Feng Pan & Weixing Li, 2014. "An improved sampling method of complex network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(05), pages 1-11.
    20. Xi-Qun Chen & Wei-Jun Xie & Jing Shi & Qi-Xin Shi, 2010. "Perturbation And Stability Analysis Of The Multi-Anticipative Intelligent Driver Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(05), pages 647-668.

    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:wsi:acsxxx:v:15:y:2012:i:05:n:s0219525912500324. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/acs/acs.shtml .

    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.