Overdamped dynamics of a brownian particle levitated in a Paul trap

作     者：Conangla, Gerard P. Nwaigwe, Dwight Wehr, Jan Rica, Raúl A. 

作者机构：ICFO Institut de Ciencies Fotoniques Mediterranean Technology Park CastelldefelsBarcelona08860 Spain Program in Applied Mathematics University of Arizona TucsonAZ85721-0089 United States Department of Mathematics University of Arizona TucsonAZ85721-0089 United States Department of Applied Physics School of Sciences University of Granada Granada18071 Spain 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2019年

核心收录：

主　　题：Equations of motion 

摘      要：We study the dynamics of the center of mass of a Brownian particle levitated in a Paul trap. We focus on the overdamped regime in the context of levitodynamics, comparing theory with our numerical simulations and experimental data from a nanoparticle in a Paul trap. We provide an exact analytical solution to the stochastic equation of motion, expressions for the standard deviation of the motion, and thermalization times by using the WKB method under two different limits. Finally, we prove the power spectral density of the motion can be approximated by that of an Ornstein-Uhlenbeck process and use the found expression to calibrate the motion of a trapped particle. Copyright © 2019, The Authors. All rights reserved.