Cluster formation in complex multi-scale systems

DOI10.1098/rspa.2005.1548zbMath1206.82123arXivphysics/0501015OpenAlexW3104525135WikidataQ125768050 ScholiaQ125768050MaRDI QIDQ5428299

Edriss S. Titi, John D. Gibbon

Publication date: 21 November 2007

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/0501015

zbMATH Keywords

clusteringcomplex systemsfluid turbulenceintermittencyspin glassmulti-scale

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Turbulence (76F99) Fractals (28A80)

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Cites Work

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• The infinite number of generalized dimensions of fractals and strange attractors
• Forest fires and the structure of the universe
• Vorticity and Incompressible Flow
• The Fourth Dimension of Life: Fractal Geometry and Allometric Scaling of Organisms
• Clustering and collisions of heavy particles in random smooth flows
• A model for preferential concentration
• Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
• The dynamics of vorticity tubes in homogeneous turbulence
• Intermittency in solutions of the three-dimensional Navier–Stokes equations
• On the origin of ultrametricity
• Partial regularity of suitable weak solutions of the navier-stokes equations
• The multifractal nature of turbulent energy dissipation
• The nature of turbulent motion at large wave-numbers