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Non-Markovian stationary probability density for a harmonic oscillator in an electromagnetic field.

作者信息

Jiménez-Aquino J I, Romero-Bastida M

机构信息

Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa 09340, Distrito Federal, Mexico.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Dec;86(6 Pt 1):061115. doi: 10.1103/PhysRevE.86.061115. Epub 2012 Dec 12.

DOI:10.1103/PhysRevE.86.061115
PMID:23367901
Abstract

We calculate the exact solution of the Fokker-Planck equation for the stationary-state probability density of a harmonic oscillator embedded in an electromagnetic field. The magnetic field is assumed to be a constant and the electric field an external stochastic force with the properties of a Gaussian and exponentially correlated noise (Ornstein-Uhlenbeck process). In this work, we first study the problem in the absence of the magnetic field, then we obtain the complete solution and corroborate that the latter reduces to the former when the magnetic field is suppressed.

摘要

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