Crumpled Wires and Liouville Field Theory
arXiv:0805.2896 · doi:10.1209/0295-5075/88/31001
Abstract
The study of the packing of a length of wire in a two dimensional domain is done using techniques of conformal maps. The resulting scaling properties are derived through the Coulomb gas formalism of Conformal Field Theories. An analogy is drawn between this system and the 2D gravitational -- or Liouville -- coupling of non-conformally invariant matter in two dimensions.
arXiv comment4 pages, RevTeX4, Preliminary discussion changed to clarify the global structure
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Cited by in corpus (5)
- A comparative study of crumpling and folding of thin sheets
- Unpacking of a crumpled wire from two-dimensional cavities
- Tight packing of a flexible rod in two-dimensional cavities
- Gravitational action for a massive Majorana fermion in 2d quantum gravity
- Deformation of loops in 2D packing of flexible rods