2004/12/31 by Claudio Conti · 1 citation
Computer Science · Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #cond-mat.soft #nlin.PS #physics.optics
paper · pdf · doi:10.1103/physreve.72.066620
published as Phys. Rev. E 72, 066620 (2005) · 11 pages, 20 figures. Small revisions, added a reference
arxiv created 2005/11/08 · openalex publication_date 2005/12/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The dynamics of several light filaments (spatial optical solitons) propagating in an optically nonlinear and non-local random medium is investigated using the paradigms of the physics of complexity. Cluster formation is interpreted as a dynamic phase transition. A connection with the random matrices approach for explaining the vibrational spectra of an ensemble of solitons is pointed out. General arguments based on a Brownian dynamics model are validated by the numerical simulation of a stochastic partial differential equation system. The results are also relevant for Bose condensed gases and plasma physics.