Crumpled wires and Liouville field theoryB. Carneiro da Cunha
Departamento de Física, Universidade Federal de Pernambuco - CEP 53901-970, Recife, Pernambuco, Brazil
received on 7 October 2009; accepted in final form by D. Bazeia on 14 October 2009; published November 2009
published online 30 October 2009
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.
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