Breather dynamics in a stochastic sine-Gordon equation: evidence of noise-enhanced stability
arXiv:2205.03938 · doi:10.1016/j.chaos.2023.113115
Abstract
The dynamics of sine-Gordon breathers is studied in the presence of dissipative and stochastic perturbations. Taking a stationary breather with a random phase value as the initial state, the performed simulations demonstrate that a spatially-homogeneous noisy source can make the oscillatory excitation more stable, i.e., it enables the latter to last significantly longer than it would in a noise-free scenario. Both the frequency domain and the localization of energy are examined to document the effectiveness of the noise-enhanced stability phenomenon, which emerges as a nonmonotonic behavior of an average characteristic time for the breather as a function of the noise intensity. The influence of the mode's starting frequency on the results and their robustness against an additional thermal background are also addressed.
24 pages, 8 figures
References in corpus (10)
- Switching times in long-overlap Josephson junctions subject to thermal fluctuations and non-Gaussian noise sources
- Anomalous transport effects on switching currents of graphene-based Josephson junctions
- Lévy noise effects on Josephson junctions
- Generation of travelling sine-Gordon breathers in noisy long Josephson junctions
- Metastability, nucleation, and noise-enhanced stabilization out of equilibrium
- Noise Enhanced Stability
- Lifetime of metastable states and suppression of noise in Interdisciplinary Physical Models
- Perturbation theory for localized solutions of sine-Gordon equation: decay of a breather and pinning by microresistor
- Supratransmission-induced travelling breathers in long Josephson junctions
- Reversible Fluxon Logic with optimized CNOT gate components
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