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hal-00514557, version 1 |
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arXiv:1009.1001 |
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| Domaine : |
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| Titre : |
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Statistical distributions in the folding of elastic structures |
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| Auteur(s) : |
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Mokhtar Adda-Bedia1, Arezki Boudaoud1, 2, Laurent Boué1, 3, Stephanie Deboeuf1, 4 |
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| Laboratoire : |
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| 1 : |
LPS - Laboratoire de Physique Statistique de l'ENS |
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RDP - Reproduction et développement des plantes |
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Department of Chemical Physics |
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Department of Physics - McGill University |
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| Résumé : |
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The behaviour of elastic structures undergoing large deformations is the result of the competition between confining conditions, self-avoidance and elasticity. This combination of multiple phenomena creates a geometrical frustration that leads to complex fold patterns. By studying the case of a rod confined isotropically into a disk, we show that the emergence of the complexity is associated with a well defined underlying statistical measure that determines the energy distribution of sub-elements,``branches'', of the rod. This result suggests that branches act as the ``microscopic'' degrees of freedom laying the foundations for a statistical mechanical theory of this athermal and amorphous system. |
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Langue du texte
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Anglais |
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| Mots Clés : |
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Elasticity – Folding – Energy distributions – Effective particles – Experiments – Simulations |
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| Classification : |
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46.32.+x ; 46.65.+g ; 64.70.qd |
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