<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>Brownian oscillator, ie a micron-sized or smaller particle trapped in a thermally fluctuating environment is studied. The confining harmonic potential can move with a constant velocity. As distinct from the standard Langevin theory, the chaotic force driving the particle is correlated in time. The dynamics of the particle is described by the generalized Langevin equation with the inertial term, a coloured noise force, and a memory integral. We consider two kinds of the memory in the system. The first one corresponds to the exponentially correlated noise and in the second case the memory naturally arises within the Navier-Stokes hydrodynamics. Exact analytical solutions are obtained in both the cases using a simple and effective method not applied so far in this kind of problems.</p></abstract>

Brownian oscillator, ie a micron-sized or smaller particle trapped in a thermally fluctuating environment is studied. The confining harmonic potential can move with a constant velocity. As distinct from the standard Langevin theory, the chaotic force driving the particle is correlated in time. The dynamics of the particle is described by the generalized Langevin equation with the inertial term, a coloured noise force, and a memory integral. We consider two kinds of the memory in the system. The first one corresponds to the exponentially correlated noise and in the second case the memory naturally arises within the Navier-Stokes hydrodynamics. Exact analytical solutions are obtained in both the cases using a simple and effective method not applied so far in this kind of problems.

Brownian Oscillators Driven by Correlated Noise in a Moving Trap

Department of Mathematics and Physics, The University of Security Management, Kukučínova 17, 040 01 Košice, Slovakia

Department of Physics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Park Komenského 2, 042 00 Košice, Slovakia

Journal of Electrical Engineering

{"article-title":"Brownian Oscillators Driven by Correlated Noise in a Moving Trap"}

Brownian oscillator, ie a micron-sized or smaller particle trapped in a thermally fluctuating environment is studied. The confining harmonic potential can move...

Brownian Oscillators Driven by Correlated Noise in a Moving Trap

Published Online: Feb 22, 2012

Page range: 53 - 58

DOI: https://doi.org/10.2478/v10187-012-0008-8

Keywords
Brownian oscillator, correlated noise, moving harmonic trap

This content is open access.

Brownian Oscillators Driven by Correlated Noise in a Moving Trap

Published Online: Feb 22, 2012

Page range: 53 - 58

DOI: https://doi.org/10.2478/v10187-012-0008-8

KeywordsBrownian oscillator, correlated noise, moving harmonic trap

This content is open access.

Keywords
Brownian oscillator, correlated noise, moving harmonic trap