Noise-to-signal transition of a Brownian particle in the cubic potential: I. general theory. (22nd April 2016)

• Record Type: Journal Article
• Authors: Filip, Radim; Zemánek, Pavel
• Is Part Of: Journal of optics. Volume 18:Number 6(2016:Jun.)
• Publication Date: 2016-04-22
• Subjects: optically trapped particles -- Brownian motion -- optomechanics; Optics -- Periodicals; 535.05
• DOI: 10.1088/2040-8978/18/6/065401
• Languages: English
• ISSNs: 2040-8978

Abstract

Abstract: The noise-to-signal transitions are very interesting processes in physics, as they might transform environmental noise to useful mechanical effects. We theoretically analyze stochastic noise-to-signal transition of overdamped Brownian motion of a particle in the cubic potential. The particle reaches thermal equilibrium with its environment in the quadratic potential which is suddenly swapped to the cubic potential. We predict a simultaneous increase of both the displacement and signal-to-noise ratio in the cubic potential for the position linearly powered by the temperature of the particle environment. The short-time analysis and numerical simulations fully confirm different dynamical regimes of this noise-to-signal transition.