2014/01/31 by Fivos Perakis, F. Perakis, Marios Mattheakis +2
Computer Science · Mathematics · Physics and Astronomy · #Combinatorics #Complex Network Analysis Techniques #Complex network #Computer science #Condensed matter physics #Crossover #Exponent #Lattice (music) #Mathematics #Monte Carlo method #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Physics #Small-world network #Statistical physics #cond-mat.dis-nn #physics.optics
paper · pdf · doi:10.1088/2040-8978/16/10/102003
published as J. Opt. 16 (2014) 102003
arxiv created 2014/08/08 · openalex publication_date 2014/09/23 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We use a simple dynamical model and explore coherent dynamics of wavepackets in complex networks of optical fibers. We start from a symmetric lattice and through the application of a Monte-Carlo criterion we introduce structural disorder and deform the lattice into a small-world network regime. We investigate in the latter both structural (correlation length) as well as dynamical (diffusion exponent) properties and find that both exhibit a rapid crossover from the ordered to the fully random regime. For a critical value of the structural disorder parameter ρ ≈ 0.25 transport changes from ballistic to sub-diffusive due to the creation strongly connected local clusters and channels of preferential transport in the small world regime.