Open Access
Issue
EPL
Volume 88, Number 3, November 2009
Article Number 31001
Number of page(s) 4
Section The Physics of Elementary Particles and Fields
DOI http://dx.doi.org/10.1209/0295-5075/88/31001
Published online 30 October 2009
EPL, 88 (2009) 31001
DOI: 10.1209/0295-5075/88/31001

Crumpled wires and Liouville field theory

B. Carneiro da Cunha

Departamento de Física, Universidade Federal de Pernambuco - CEP 53901-970, Recife, Pernambuco, Brazil

bcunha@df.ufpe.br

received on 7 October 2009; accepted in final form by D. Bazeia on 14 October 2009; published November 2009
published online 30 October 2009

Abstract
The study of the packing of a length of wire in the elastic phase in a two-dimensional domain is done using techniques of conformal maps. An analogy is drawn between this system and the 2D gravity —or Liouville field theory— coupled to a massive point particle in two dimensions. The resulting scaling properties for the stored elastic energy and the number of loops is derived and compared with existing data from experiments and simulations.

PACS
11.25.Hf - Conformal field theory, algebraic structures.
04.60.Kz - Lower dimensional models; minisuperspace models.
68.35.Rh - Phase transitions and critical phenomena.

© EPLA 2009