New measures of algebraic, geometric and topological complexity are introduced and tested to quantify morphological as- pects 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 measure- ments 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.

Barenghi, C., Ricca, R., Samuels, D. (2001). How tangled is a tangle?. PHYSICA D-NONLINEAR PHENOMENA, 157(3), 197-206 [10.1016/S0167-2789(01)00304-9].

How tangled is a tangle?

RICCA, RENZO;
2001

Abstract

New measures of algebraic, geometric and topological complexity are introduced and tested to quantify morphological as- pects 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 measure- ments 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.
Articolo in rivista - Articolo scientifico
vortex tangle; vortex dynamics; superfluidity; structural complexity
English
2001
157
3
197
206
reserved
Barenghi, C., Ricca, R., Samuels, D. (2001). How tangled is a tangle?. PHYSICA D-NONLINEAR PHENOMENA, 157(3), 197-206 [10.1016/S0167-2789(01)00304-9].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/20232
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