6533b859fe1ef96bd12b6f44
RESEARCH PRODUCT
Breather dynamics in a stochastic sine-Gordon equation: evidence of noise-enhanced stability
Duilio De SantisClaudio GuarcelloBernardo SpagnoloAngelo CarolloDavide Valentisubject
Perturbed sine-Gordon modelSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciStatistical Mechanics (cond-mat.stat-mech)Condensed Matter - Mesoscale and Nanoscale PhysicsGeneral MathematicsApplied MathematicsFOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsPattern Formation and Solitons (nlin.PS)Noise-enhanced stabilityNonlinear Sciences - Pattern Formation and SolitonsBreathersMesoscale and Nanoscale Physics (cond-mat.mes-hall)Breathers; Noise-enhanced stability; Perturbed sine-Gordon model; Soliton dynamicsSoliton dynamicsCondensed Matter - Statistical Mechanicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2023-01-12 |