Overdamped dynamics of a Brownian particle levitated in a Paul trap
| Autor: | Dwight Nwaigwe, Gerard P. Conangla, Raúl A. Rica, Jan Wehr |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
Statistical Mechanics (cond-mat.stat-mech) Dynamics (mechanics) FOS: Physical sciences Equations of motion Spectral density Context (language use) Mathematical Physics (math-ph) 01 natural sciences WKB approximation 010305 fluids & plasmas Classical mechanics 0103 physical sciences Center of mass Ion trap 010306 general physics Condensed Matter - Statistical Mechanics Mathematical Physics Brownian motion Physics - Optics Optics (physics.optics) |
| Zdroj: | Physical Review A |
| ISSN: | 2469-9934 2469-9926 |
| DOI: | 10.1103/physreva.101.053823 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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