Eur. Phys. J. B 75, 267-273 (2010)
https://doi.org/10.1140/epjb/e2010-00127-1

Information dynamics of a particle in a magnetic field

Department of Chemistry, Visa-Bharati, 731 235 Santiniketan, India

Corresponding author: ^a pcbcb@rediffmail.com

Received: 12 December 2009
Revised: 1 March 2010
Published online: 13 April 2010

Abstract

We discuss the time evolution of information entropy (S) of a harmonic oscillator driven by thermal noise in the presence of a magnetic field. Our analysis is based on the Fokker-Planck description of the stochastic process. It shows that the relaxation time of a given non equilibrium state increases with increase of strength of the applied magnetic field. It further increases if the thermal noise becomes colored. The dependence of the time derivative of the entropy, its upper bound and related quantity on the strength of magnetic field, damping, noise correlation time and temperature is studied in detail.