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Crumpled states of a wire in a two-dimensional cavity with pins
M A F Gomes1, V P Brito, M S Araújo
1Departamento de Física, Universidade Federal de Pernambuco, 50670-901 Recife, PE, Brasil.
Abstract:
In this paper, we report an extensive experimental study of the configurations of a plastic wire injected into a two-dimensional planar cavity populated with fixed pins. The wire is not allowed to cross any pin, but it can move in a wormlike manner within the cavity until to become jammed in a crumpled state. The jammed packing fraction depends heavily on the topology of the cavity, which depends on the number of pins. The experiment reveals nontrivial entanglement effects and scaling laws which are largely independent of the details of the distribution of pins, the symmetry of the cavity or the type of the wire. A mean-field model for the process is presented and analogies with some basic aspects of statistical thermodynamics are discussed.
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