A noise-induced enhancement of the breather stability in a lossy, stochastic sine-Gordon system is discussed. The numerical solutions indicate that a spatially uniform noisy source enables a stationary breather to survive way beyond its deterministic lifetime. An average characteristic time for the breather is defined, whose values vary nonmonotonically as a function of the noise strength, while being almost unaffected by the mode's initial phase.
De Santis, D., Guarcello, C., Spagnolo, B., Carollo, A., Valenti, D. (2023). Noise-enhanced stability of sine-Gordon breathers. IL NUOVO CIMENTO C, 46(4), 1-4 [10.1393/ncc/i2023-23108-8].
Noise-enhanced stability of sine-Gordon breathers
De Santis, D
;Guarcello, C;Spagnolo, B;Carollo, A;Valenti, D
2023-08-30
Abstract
A noise-induced enhancement of the breather stability in a lossy, stochastic sine-Gordon system is discussed. The numerical solutions indicate that a spatially uniform noisy source enables a stationary breather to survive way beyond its deterministic lifetime. An average characteristic time for the breather is defined, whose values vary nonmonotonically as a function of the noise strength, while being almost unaffected by the mode's initial phase.
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