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Celani A, Vergassola M. Statistical geometry in scalar turbulence. Phys Rev Lett. 2001;86(3):424-7doi: 10.1103/PhysRevLett.86.424.
Celani, A., & Vergassola, M. (2001). Statistical geometry in scalar turbulence. Physical review letters, 86(3), 424-7. https://doi.org/10.1103/PhysRevLett.86.424
Celani, A, and Vergassola, M. "Statistical geometry in scalar turbulence." Physical review letters vol. 86,3 (2001): 424-7. doi: https://doi.org/10.1103/PhysRevLett.86.424
Celani A, Vergassola M. Statistical geometry in scalar turbulence. Phys Rev Lett. 2001 Jan 15;86(3):424-7. doi: 10.1103/PhysRevLett.86.424. PMID: 11177846.
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Phys Rev Lett. 2001 Jan 15;86(3):424-7. doi: 10.1103/PhysRevLett.86.424.

Statistical geometry in scalar turbulence.

Physical review letters

A Celani, M Vergassola

Affiliations

  1. CNRS, Observatoire de la Côte d'Azur, B.P. 4229, 06304 Nice Cedex 4, France.

PMID: 11177846 DOI: 10.1103/PhysRevLett.86.424

Abstract

A general link between geometry and intermittency in passive scalar turbulence is established. The anomalous part of the scalar correlation functions is shown to be dominated by special functions of particle configurations. Their major property is that those functions calculated along the particle trajectories remain statistically constant in time. Those conservation laws qualitatively imply the persistence of scalar particles in strongly clustered geometries.

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