Related Experiment Video
Updated: May 7, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Brownian motion of a harmonic oscillator in a noninertial reference frame
J I Jiménez-Aquino1, M Romero-Bastida
1Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa Apartado Postal 55-534, C.P. 09340, México, Distrito Federal, México.
Abstract:
The Brownian motion of a charged harmonic oscillator in the presence of additional force fields, such as a constant magnetic field and arbitrary time-dependent electric and mechanical forces, is studied in a rotational reference frame under uniform motion. By assuming an isotropic surrounding medium (a scalar friction constant), we solve explicitly the Smoluchowski equation associated with the Langevin equation for the charged harmonic oscillator and calculate the mean square displacements along and orthogonal to the rotation axis.
Related Concept Videos
Simple Harmonic Motion and Uniform Circular Motion
There is an easy way to produce simple harmonic motion by using uniform circular motion. For instance, consider a ball attached to a uniformly rotating...
Simple Harmonic Motion
Damped Oscillations
Although friction and other non-conservative...
Energy in Simple Harmonic Motion
Oscillations about an Equilibrium Position
Forced Oscillations

