2003/05/22 by Matthias Meister, Luis Vázquez, Meister, Matthias +1
Computer Science · Neuroscience · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #Pattern Formation and Solitons (nlin.PS) #cond-mat #nlin.PS
paper · pdf · doi:10.48550/arxiv.nlin/0305043
13 pages, 2 figures
arxiv created 2003/05/22 · openalex publication_date 2003/05/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Propagating intrinsic localised modes (discrete breathers) exist in the dissipative driven sine-Gordon chain as attractors of the dynamics. Thermal fluctuations induce random transitions between attracting configurations corresponding to opposite signs of the propagation velocity, effecting a diffusive motion of the breather. Results for the mean value and the variance of the position from numerical simulations (Heun method) are compared with predictions from a two-parameter model developed in this paper.