Search results for "noise-enhanced stability"

showing 3 items of 3 documents

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

2023

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 influenc…

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 Mechanics
researchProduct

Signatures of noise-enhanced stability in metastable state

2005

The lifetime of a metastable state in the transient dynamics of an overdamped Brownian particle is analyzed, both in terms of the mean first passage time and by means of the mean growth rate coefficient. Both quantities feature non monotonic behaviors as a function of the noise intensity, and are independent signatures of the noise enhanced stability effect. They can therefore be alternatively used to evaluate and estimate the presence of this phenomenon, which characterizes metastability in nonlinear physical systems.

Statistical Mechanics (cond-mat.stat-mech)Physical systemFOS: Physical sciencesNoise (electronics)Stability (probability)Nonlinear systemMetastabilityQuantum mechanicsStatistical physicsTransient (oscillation)noise-enhanced stability Circuit resonance Magnetic resonance vibrational resonanceFirst-hitting-time modelBrownian motionCondensed Matter - Statistical MechanicsMathematics
researchProduct

Statistics of residence time for Lévy flights in unstable parabolic potentials

2020

We analyze the residence time problem for an arbitrary Markovian process describing nonlinear systems without a steady state. We obtain exact analytical results for the statistical characteristics of the residence time. For diffusion in a fully unstable potential profile in the presence of Lévy noise we get the conditional probability density of the particle position and the average residence time. The noise-enhanced stability phenomenon is observed in the system investigated. Results from numerical simulations are in very good agreement with analytical ones.

Steady stateSettore FIS/02 - Fisica Teorica Modelli E Metodi Matematicinoise-enhanced stability nonlinear relaxation time stochastic processes Lévy noiseMarkov process01 natural sciencesStability (probability)010305 fluids & plasmasNonlinear systemsymbols.namesakeLévy flight0103 physical sciencessymbolsConditional probability densityStatistical physicsDiffusion (business)010306 general physicsResidence time (statistics)Mathematics
researchProduct