Ralf Metzler 2002 New J. Phys. 4 91 doi:10.1088/1367-2630/4/1/391
Localization behaviour in a phenomenological model of three-dimensional knots
Ralf Metzler
Show affiliationsWe propose to model three-dimensional (3D) knots as effective vertex networks with vanishing topological exponents to study their equilibrium behaviour. This model is self-consistent and predicts weak localization in knots with up to five essential crossings. The resulting localization exponent for the 3D trefoil is in numerical agreement with a recent simulation study. In more complex knots, however, delocalization is expected. It is shown that this approach corresponds to the decomposition of the knot into C coupled loops of variable size, where C is the number of essential crossings.
- PACS
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61.41.+e Polymers, elastomers, and plastics
61.43.Bn Structural modeling: serial-addition models, computer simulation
- Subjects
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Soft matter, liquids and polymers
- Dates
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Issue 1 (November 2002)
Received 26 July 2002
Published 12 November 2002
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Localization behaviour in a phenomenological model of three-dimensional knots
Ralf Metzler 2002 New J. Phys. 4 91
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