Cluster formation in complex multi-scale systems Academic Article

abstract

• Based on the competition between members of a hierarchy of length scales in complex multi-scale systems, it is shown how clustering of active quantities into concentrated sets, like bubbles in a Swiss cheese, is a generic property that dominates the intermittent structure. The halo-like surfaces of these clusters have scaling exponents lower than that of their kernels, which can be as high as the domain dimension. Possible examples include spots in fluid turbulence and droplets in spin-glasses.

authors

• Titi, Edriss

published proceedings

• PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

author list (cited authors)

• Gibbon, J. D., & Titi, E. S.

citation count

• 11

complete list of authors

• Gibbon, JD||Titi, ES

publication date

• October 2005

publisher

• The Royal Society  Publisher

published in

• Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences  Journal

keywords

• Clustering
• Complex Systems
• Fluid Turbulence
• Intermittency
• Multi-scale
• Spin Glass

Digital Object Identifier (DOI)

• 10.1098/rspa.2005.1548

start page

• 3089

end page

• 3097

volume

• 461

issue

• 2062

URL

• http%3A%2F%2Fdx.doi.org%2F10.1098%2Frspa.2005.1548