Brownian motion of a harmonic oscillator in a noninertial reference frame

J. I. Jiménez-Aquino, M. Romero-Bastida

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.

Original languageEnglish
Article number022151
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume88
Issue number2
DOIs
StatePublished - 30 Aug 2013

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