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Stationary self-organized fractal structures in an open, dissipative electrical system

Marani, Marco and Banavar, Jayanth R and Caldarelli, Guido and Maritan, Amos and Rinaldo, Andrea Stationary self-organized fractal structures in an open, dissipative electrical system. Journal of Physics A: Mathematical and General, 31 (18). L337-L343. ISSN 0305-4470 (1999)

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We study the stationary state of a Poisson problem for a system of N perfectly conducting metal balls driven by electric forces to move within a medium of very low electrical conductivity onto which charges are sprayed from outside. When grounded at a confining boundary, the system of metal balls is experimentally known to self-organize into stable fractal aggregates. We simulate the dynamical conditions leading to the formation of such aggregated patterns and analyse the fractal properties. From our results and those obtained for steady-state systems that obey minimum total energy dissipation (and potential energy of the system as a whole), we suggest a possible dynamical rule for the emergence of scale-free structures in nature.

Item Type: Article
Identification Number: 10.1088/0305-4470/31/18/002
Uncontrolled Keywords: PACS: 05.65.+b Self-organized systems; 41.20.Cv Electrostatics; Poisson and Laplace equations, boundary-value problems; 02.60.Lj Ordinary and partial differential equations; boundary value problems
Subjects: Q Science > QC Physics
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 24 Feb 2012 12:56
Last Modified: 20 Nov 2013 13:19
URI: http://eprints.imtlucca.it/id/eprint/1172

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