Volume 58, Number 2, April 2002
|Page(s)||250 - 256|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 August 2002|
A solvable non-conservative model of Self-Organised Criticality
Department of Mathematics, Imperial College
Gate, London SW7 2BZ, UK
Accepted: 25 January 2002
We present the first solvable non-conservative sandpile-like critical model of Self-Organised Criticality (SOC), and thereby substantiate the suggestion by Vespignani and Zapperi (Vespignani A. and Zapperi S., Phys. Rev. E, 57 (1998) 6345) that a lack of conservation in the microscopic dynamics of an SOC model can be compensated by introducing an external drive and thereby re-establishing criticality. The model shown is critical for all values of the conservation parameter. The analytical derivation follows the lines of Bröker and Grassberger (Bröker H.-M. and Grassberger P., Phys. Rev. E, 56 (1997) 3944) and is supported by numerical simulation. In the limit of vanishing conservation the Random Neighbour Drossel Schwabl Forest Fire Model (R-DS-FFM) is recovered.
PACS: 64.60.Ht – Dynamic critical phenomena / 05.65.+b – Self-organized systems / 02.50.-r – Probability theory, stochastic processes, and statistics
© EDP Sciences, 2002
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.