Supratransmission-induced travelling breathers in long Josephson junctions
arXiv:2205.01990 · doi:10.1016/j.cnsns.2022.106736
Abstract
The emergence of travelling sine-Gordon breathers due to the nonlinear supratransmission effect is theoretically studied in a long Josephson junction driven by suitable magnetic pulses, taking into account the presence of dissipation, a current bias, and a thermal noise source. The simulations clearly indicate that, depending on the pulse's shape and the values of the main system parameters, such a configuration can effectively yield breather excitations only. Furthermore, a nonmonotonic behavior of the breather-only generation probability is observed as a function of the noise intensity. Finally, the dynamics of the supratransmission-induced breathers is characterized by looking at quantities such as their radiative decay lifetime and the medium's energy.
27 pages, 12 figures
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- Effects of correlated noise on the excitation of robust breathers in an ac-driven, lossy sine-Gordon system
- Long-time soliton dynamics via a coarse-grained space-time method