Breather dynamics in a stochastic sine-Gordon equation: Evidence of noise-enhanced stability

Duilio De Santis, Claudio Guarcello, Bernardo Spagnolo, Angelo Carollo and Davide Valenti

Chaos, Solitons & Fractals, 2023, vol. 168, issue C

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 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 illustrate the effectiveness of the noise-enhanced stability phenomenon, which manifests itself as a nonmonotonic behavior of the mean first-passage time for the breather as a function of the noise intensity. The influence of the mode’s initial frequency on the results and their robustness against an additional thermal background are also addressed. Overall, the analysis highlights a counter-intuitive, positive role of noise in the breather’s persistence.

Keywords: Soliton dynamics; Noise-enhanced stability; Perturbed sine-Gordon model; Breathers (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000164

DOI: 10.1016/j.chaos.2023.113115

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