Localization behaviour in a phenomenological model of three-dimensional knots

Details Localization behaviour in a phenomenological model of three-dimensional knots Localization behaviour in a phenomenological model of three-dimensional knots

Nov 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002njph....4...91m&link_type=abstract

New Journal of Physics, Volume 4, Issue 1, pp. 91 (2002).

Physics

4

Scientific paper

We 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.

Affiliated with

Also associated with

No associations

Rating

Localization behaviour in a phenomenological model of three-dimensional knots does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Localization behaviour in a phenomenological model of three-dimensional knots, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localization behaviour in a phenomenological model of three-dimensional knots will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1192134