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.

De Santis D., Guarcello C., Spagnolo B., Carollo A., Valenti D. (2023). Breather dynamics in a stochastic sine-Gordon equation: Evidence of noise-enhanced stability. CHAOS, SOLITONS AND FRACTALS, 168, 113115 [10.1016/j.chaos.2023.113115].

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

De Santis D.
;
Guarcello C.;Spagnolo B.;Carollo A.;Valenti D.
2023-01-12

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.
12-gen-2023
Settore FIS/02 - Fisica Teorica, Modelli E Metodi Matematici
De Santis D., Guarcello C., Spagnolo B., Carollo A., Valenti D. (2023). Breather dynamics in a stochastic sine-Gordon equation: Evidence of noise-enhanced stability. CHAOS, SOLITONS AND FRACTALS, 168, 113115 [10.1016/j.chaos.2023.113115].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/587650
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