IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v245y1997i3p453-460.html
   My bibliography  Save this article

Self-organised criticality in some dissipative sandpile models

Author

Listed:
  • Ruskin, H.J.
  • Feng, Y.

Abstract

We investigate here self-organised criticality (SOC) in two-dimensional dissipative sandpile models without the local conservation law. Both dissipative cellular automata and dissipative coupled map lattice models with open boundary conditions are considered. There appears to be no evidence for the existence of SOC in the former models. In 2he CML models, scale-invariant avalanches are observed to occur for some specific local dynamical rules. This suggests that the occurrence of SOC depends, at least in part, on the nature of the dissipative dynamics.

Suggested Citation

  • Ruskin, H.J. & Feng, Y., 1997. "Self-organised criticality in some dissipative sandpile models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 453-460.
  • Handle: RePEc:eee:phsmap:v:245:y:1997:i:3:p:453-460
    DOI: 10.1016/S0378-4371(97)00317-8
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197003178
    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/S0378-4371(97)00317-8?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. Bak, Per & Flyvbjerg, Henrik, 1992. "Self-organization of magnetic domain patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 3-10.
    2. Sachdev, Perminder S., 1990. "Behavioural factors affecting physical health of the New Zealand Maori," Social Science & Medicine, Elsevier, vol. 30(4), pages 431-440, January.
    3. Drossel, B. & Schwabl, F., 1992. "Self-organized criticality in a forest-fire model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 47-50.
    4. Stauffer, D. & Kertész, J., 1990. "On the Alexandrowicz relation between static and dynamic Ising exponents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 167(2), pages 333-337.
    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. de Benicio, Rosilda B. & Stošić, Tatijana & de Figueirêdo, P.H. & Stošić, Borko D., 2013. "Multifractal behavior of wild-land and forest fire time series in Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6367-6374.
    2. Satulovsky, Javier E., 1997. "On the synchronizing mechanism of a class of cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(1), pages 52-58.
    3. Kondor, Dániel & Mátray, Péter & Csabai, István & Vattay, Gábor, 2013. "Measuring the dimension of partially embedded networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4160-4171.
    4. Jánosi, I.M. & Kertész, J., 1993. "Self-organized criticality with and without conservation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 179-188.
    5. Bill McKelvey & Benyamin B. Lichtenstein & Pierpaolo Andriani, 2012. "When organisations and ecosystems interact: toward a law of requisite fractality in firms," International Journal of Complexity in Leadership and Management, Inderscience Enterprises Ltd, vol. 2(1/2), pages 104-136.
    6. Batac, Rene & Longjas, Anthony & Monterola, Christopher, 2012. "Statistical distributions of avalanche size and waiting times in an inter-sandpile cascade model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 616-624.
    7. Marzouk, Cyril, 2016. "Fires on large recursive trees," Stochastic Processes and their Applications, Elsevier, vol. 126(1), pages 265-289.
    8. Benavent-Corai, J. & Rojo, C. & Suárez-Torres, J. & Velasco-García, L., 2007. "Scaling properties in forest fire sequences: The human role in the order of nature," Ecological Modelling, Elsevier, vol. 205(3), pages 336-342.
    9. LaViolette, Randall A. & Glass, Kristin & Colbaugh, Richard, 2009. "Deep information from limited observation of robust yet fragile systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3283-3287.
    10. Honecker, A. & Peschel, I., 1997. "Length scales and power laws in the two-dimensional forest-fire model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 239(4), pages 509-530.
    11. Tang, Da-Hai & Han, Xiao-Pu & Wang, Bing-Hong, 2010. "Stretched exponential distribution of recurrent time of wars in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(13), pages 2637-2641.
    12. Gran, Joseph D. & Rundle, John B. & Turcotte, Donald L. & Holliday, James R. & Klein, William, 2011. "A damage model based on failure threshold weakening," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1269-1278.
    13. Vittorio Zanon & Fátima Viveiros & Catarina Silva & Ana Hipólito & Teresa Ferreira, 2008. "Impact of lightning on organic matter-rich soils: influence of soil grain size and organic matter content on underground fires," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 45(1), pages 19-31, April.
    14. Bonabeau, Eric, 1994. "Self-reorganizations in a simple model of the immune system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(3), pages 336-350.
    15. Drossel, B. & Schwabl, F., 1993. "Forest-fire model with immune trees," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(2), pages 183-197.
    16. Khakzad, Nima, 2019. "Modeling wildfire spread in wildland-industrial interfaces using dynamic Bayesian network," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 165-176.
    17. Bak, Per, 1992. "Self-organized criticality in non-conservative models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 41-46.
    18. De Caux, Robert & McGroarty, Frank & Brede, Markus, 2017. "The evolution of risk and bailout strategy in banking systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 109-118.
    19. Zinck, Richard D. & Johst, Karin & Grimm, Volker, 2010. "Wildfire, landscape diversity and the Drossel–Schwabl model," Ecological Modelling, Elsevier, vol. 221(1), pages 98-105.
    20. Macpherson, K.P. & MacKinnon, A.L., 1997. "One-dimensional percolation models of transient phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(1), pages 1-13.

    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:245:y:1997:i:3:p:453-460. 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.