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Phys. Rev. Lett. 94, 110602 (2005) [4 pages]

Bounded Step Superdiffusion in an Oriented Hexagonal Phase

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Yann Gambin1, Gladys Massiera2,*, Laurence Ramos2, Christian Ligoure2, and Wladimir Urbach1
1Laboratoire de Physique Statistique de l’Ecole Normale Superieure, UMR CNRS 8550, 24 rue Lhomond, 75005 Paris, France
2Laboratoire des Colloïdes Verres, et Nanomatériaux, UMR CNRS 5587, place Bataillon, 34095 Montpellier, France

Received 22 October 2004; published 22 March 2005

Fluorescence recovery after pattern photobleaching is used to measure the self-diffusion of surfactant molecules, along cylinders and perpendicular to their main axis in an oriented hexagonal lyotropic phase. Unexpectedly, while the motion along cylinders is diffusive, a superdiffusive behavior is observed in the direction perpendicular to the cylinder axis. Moreover, varying the lattice parameter, we found that the perpendicular diffusion time is governed only by the number of cylinders to cross, providing experimental evidence for superdiffusion with a bounded step length.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.110602
DOI:
10.1103/PhysRevLett.94.110602
PACS:
05.40.-a, 02.50.-r, 61.30.St, 82.70.-y

*Present Address: Laboratoire de Spectrométrie Physique, BP 87, 140 avenue de la Physique, 38402 St. Martin d’Hères, France.