Control the relaxation properties of the diffuse bistable potential

• Published in: Chinese journal of physics (Taipei) Vol. 60; pp. 141 - 152
• Main Authors: Oliveira, H.A., Delben, G.J.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.08.2019
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2019.02.013

•We apply a piecewise control method to the double oscillator.•We describe and control the system dynamics through the population probability over the barrier.•We demonstrate the limits of control in this system.•We associate qualitatively the control and diffusion of the system. The purpose of this work is to investigate procedures to control the population dynamics in a bistable potential. We use the solutions of the Fokker–Planck equation for the distribution function corresponding to a bistable potential under action of an external electric field. The control is performed with a piecewise protocol with time independent potentials. This protocol provides to be adequate for this problem, controlling the time necessary to balance of system probabilities. Some trajectories were controlled and the limits of procedure clarified. Nevertheless, with the application of the control protocol we clarify some simple phenomena of the system, associating the application of the external field with the system diffusion coefficient.