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

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

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.

Suggested Citation

  • De Santis, Duilio & Guarcello, Claudio & Spagnolo, Bernardo & Carollo, Angelo & Valenti, Davide, 2023. "Breather dynamics in a stochastic sine-Gordon equation: Evidence of noise-enhanced stability," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000164
    DOI: 10.1016/j.chaos.2023.113115
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    References listed on IDEAS

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    1. Guarcello, C., 2021. "Lévy noise effects on Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    2. De Santis, Duilio & Guarcello, Claudio & Spagnolo, Bernardo & Carollo, Angelo & Valenti, Davide, 2022. "Generation of travelling sine-Gordon breathers in noisy long Josephson junctions," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    3. D. Gulevich & M. Gaifullin & F. Kusmartsev, 2012. "Controlled dynamics of sine-Gordon breather in long Josephson junctions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(1), pages 1-5, January.
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    1. De Santis, Duilio & Guarcello, Claudio & Spagnolo, Bernardo & Carollo, Angelo & Valenti, Davide, 2023. "Ac-locking of thermally-induced sine-Gordon breathers," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Pankratov, A.L. & Revin, L.S. & Pankratova, E.V. & Shitov, S.V., 2024. "Oscillations in a Josephson junction lattice stimulated by a common load," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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