2016/05/19 by Jaime Cisternas, Orazio Descalzi, Tony Albers +1 · 17 citations
Computer Science · Mathematics · Physics and Astronomy · #Anomalous diffusion #Classical mechanics #Diffusion #Diffusion equation #Dissipative system #Ginzburg–Landau theory #Innovation diffusion #Mathematical physics #Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear system #Physics #Quantum mechanics #Quintic function #Random walk #Spectroscopy and Quantum Chemical Studies #Statistical physics #nlin.PS
paper · pdf · doi:10.1103/physrevlett.116.203901
published in Physical Review Letters 116(20), 203901 (American Physical Society) · 6 pages, 6 figures
openalex publication_date 2016/05/19 · arxiv created 2018/03/22 · arxiv updated 2018/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We demonstrate the occurrence of anomalous diffusion of dissipative solitons in a "simple" and deterministic prototype model: the cubic-quintic complex Ginzburg-Landau equation in two spatial dimensions. The main features of their dynamics, induced by symmetric-asymmetric explosions, can be modeled by a subdiffusive continuous-time random walk, while in the case dominated by only asymmetric explosions, it becomes characterized by normal diffusion.