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Phys. Rev. Lett. 104, 193901 (2010) [4 pages]

Frustrated Brownian Motion of Nonlocal Solitary Waves

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V. Folli1,2 and C. Conti2,*
1Department of Physics, University Sapienza, Piazzale Aldo Moro 2, 00185, Rome, Italy
2Institute for Complex Systems (ISC-CNR), Department of Physics, University Sapienza, Piazzale Aldo Moro 2, 00185, Rome, Italy

Received 30 December 2009; published 11 May 2010

We investigate the evolution of solitary waves in a nonlocal medium in the presence of disorder. By using a perturbational approach, we show that an increasing degree of nonlocality may largely hamper the Brownian motion of self-trapped wave packets. The result is valid for any kind of nonlocality and in the presence of nonparaxial effects. Analytical predictions are compared with numerical simulations based on stochastic partial differential equations.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.104.193901
DOI:
10.1103/PhysRevLett.104.193901
PACS:
42.65.Jx, 03.75.Lm, 05.45.Yv, 11.10.Lm

*claudio.conti@roma1.infn.it