ePrints

How tangled is a tangle?

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

Downloads

Full text for this publication is not currently held within this repository. Alternative links are provided below where available.

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 treasures, 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. (C) 2001 Elsevier Science B.V. All rights reserved.

Publication metadata

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

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

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

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

Altmetrics

Share