2017/06/01 by Ming Yi, Yi Ming, Dong-Bo Ling +4 · 7 citations
Computer Science · Neuroscience · Physics and Astronomy · Psychology · #Advanced Fiber Laser Technologies #Breather #Classical mechanics #Energy (signal processing) #Mechanics #Neuroscience #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear system #Physics #Psychology #Quantum mechanics #Relaxation (psychology) #Statistical physics #Thermal #Thermal equilibrium #Thermodynamics #cond-mat.mes-hall #cond-mat.stat-mech #nlin.PS #physics.class-ph
paper · pdf · doi:10.1063/1.4985016
published in Chaos An Interdisciplinary Journal of Nonlinear Science 27(6), 063106 (American Institute of Physics) · 26 pages, 0 figures
openalex publication_date 2017/06/01 · arxiv created 2017/06/12 · openalex created_date 2017/06/23 · arxiv updated 2018/02/13 · openalex updated_date 2026/08/05
So far, only the energy thresholds of single discrete breathers in nonlinear Hamiltonian systems have been analytically obtained. In this work, the energy thresholds of discrete breathers in thermal equilibrium and the energy thresholds of long-lived discrete breathers which can remain after a long time relaxation are analytically estimated for nonlinear chains. These energy thresholds are size dependent. The energy thresholds of discrete breathers in thermal equilibrium are the same as the previous analytical results for single discrete breathers. The energy thresholds of long-lived discrete breathers in relaxation processes are different from the previous results for single discrete breathers but agree well with the published numerical results known to us. Because real systems are either in thermal equilibrium or in relaxation processes, the obtained results could be important for experimental detection of discrete breathers.