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How tangled is a tangle?

Lookup NU author(s): Professor Carlo Barenghi, Dr David Samuels

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Abstract

New measures of algebraic, geometric and topological complexity are introduced and tested to quantify morphological aspects of a generic tangle of filaments. The tangle is produced by standard numerical simulation of superfluid helium turbulence, which we use as a benchmark for numerical investigation of complex systems. We find that the measures used, based on crossing number information, are good indicators of generic behaviour and detect accurately a tangle's complexity. Direct measurements of kinetic helicity are found to be in agreement with the other complexity-based measures, proving that helicity is also a good indicator of structural complexity. We find that complexity-based measure growth rates are consistently similar to one another. The growth rate of kinetic helicity is found to be twice that of energy. © 2001 Elsevier Science B.V. All rights reserved.

Publication metadata

Author(s): Barenghi CF, Ricca RL, Samuels DC

Publication type: Article

Publication status: Published

Journal: Physica D: Nonlinear Phenomena

Year: 2001

Volume: 157

Issue: 3

Pages: 197-206

ISSN (print): 0167-2789

ISSN (electronic): 1872-8022

Publisher: Elsevier BV

URL: http://dx.doi.org/10.1016/S0167-2789(01)00304-9

DOI: 10.1016/S0167-2789(01)00304-9

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