Issue |
Europhys. Lett.
Volume 50, Number 2, April II 2000
|
|
---|---|---|
Page(s) | 162 - 168 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2000-00249-7 | |
Published online | 01 September 2002 |
On the physical relevance of extremal dynamics
1
Department of Mathematics, Imperial College - 180 Queens Gate
London SW7 2BZ, UK
2
Blackett Laboratory, Imperial College - Prince Consort Road
London SW7 2BZ, UK
Corresponding authors: a.s.datta@ic.ac.uk k.christensen@ic.ac.uk h.jensen@ic.ac.uk
Received:
5
November
1999
Accepted:
9
February
2000
Taking the Bak-Sneppen evolution model as an example (Phys. Rev. Lett., 71 (1993) 4083), we study extremal dynamics where M > 1 smallest barriers are simultaneously updated as opposed to models in the limit where only the smallest barrier is updated. We investigate the scaling properties of the nearest-neighbour and the random-neighbour model. We demonstrate that the behaviour of models with extremal dynamics in the limit of single update per time step is irrelevant to physical observations.
PACS: 05.65+b – Self-organised systems / 05.45-a – Nonlinear dynamics and nonlinear dynamical systems / 87.10+e – General theory and mathematical aspects
© EDP Sciences, 2000
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