Keywords
1/f noise
Self-organized criticality
Scale invariance,
Lattice gas model
How to Cite
Abstract
Henrik Jeldtoft Jensen explains how fractal structures and 1/f noise arise as two manifestations of the same self-organized critical state. Using a lattice gas model as a starting point, he demonstrates how complex patterns and signals can form spontaneously in dynamical systems with many degrees of freedom. A deep and theoretically grounded article that draws connections from chaos theory to statistical physics and shows how simple rules can give rise to scale-invariant phenomena.
References
1. B. Mandelbrot, The Fractal Geometry of Nature (Freeman,San Fransisco, 1982).
2. W. H. Press, Commun. Mod. Phys. C 7, 103 (1978).
3. M. B. Weissman, Rev. Mod. Phys. 60. 537 (1988).
https://doi.org/10.1103/RevModPhys.60.537
4. D. K. C. MacDonal, Noise and Fluctuations: An Introduction (Wiley. New York, 1962).
5. P. Bak. C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381,(1987) and Phys. Rev. A 38, 364 (1989).
https://doi.org/10.1111/j.1438-8677.1989.tb01362.x
6. H. M. Jaeger, Chu-heng Liu, and Sidney R. Nagel, Phys.Rev. Lett. 62. 40 (1989).
https://doi.org/10.1103/PhysRevLett.62.40
7. H. J. Jensen, K. Christensen and H. C. Fogedby, Phys. Rev. B 40, 7425 (1989).
https://doi.org/10.1103/PhysRevB.40.7425
8. H. J. Jensen, Preprint.
9. I det tidsskridt en partikel er introduceret på et kant felt, lader vi en enheds kraft virke på partiklen for at forsøge at skubbe partiklen ind på gitteret.
10. Mig bekendt er det kun den her beskrevne model, som vides at udvise både l//-spektra og fraktaler; de fleste undersøgelser har beskæftiget sig med at vise at modellernes fordelingsfunktioner har potenslovs form.
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