<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The dynamics of a magnetic domain wall (DW) in a wire is studied. The DW is modeled as a Brownian particle subjected to thermal fluctuations and is characterized by the mass, position and velocity. Its motion is damped by friction, pinned by the irregularities in the material and driven by a constant force due to the external magnetic field. We have obtained the corresponding Langevin equation that contains a white-noise force. The use of an effective method taken from the statistical physics allowed us to convert this stochastic equation into an ordinary differential equation. From its solution the mean square displacement of the DW with other relevant time correlation functions and their spectral densities have been found. The electric current induced by the moving DW is also calculated.</p></abstract>

The dynamics of a magnetic domain wall (DW) in a wire is studied. The DW is modeled as a Brownian particle subjected to thermal fluctuations and is characterized by the mass, position and velocity. Its motion is damped by friction, pinned by the irregularities in the material and driven by a constant force due to the external magnetic field. We have obtained the corresponding Langevin equation that contains a white-noise force. The use of an effective method taken from the statistical physics allowed us to convert this stochastic equation into an ordinary differential equation. From its solution the mean square displacement of the DW with other relevant time correlation functions and their spectral densities have been found. The electric current induced by the moving DW is also calculated.

Field-Driven Brownian Motion of Magnetic Domain Walls

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

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

Journal of Electrical Engineering

{"article-title":"Field-Driven Brownian Motion of Magnetic Domain Walls"}

The dynamics of a magnetic domain wall (DW) in a wire is studied. The DW is modeled as a Brownian particle subjected to thermal fluctuations and is...

Field-Driven Brownian Motion of Magnetic Domain Walls

Pubblicato online: 07 giu 2011

Pagine: 282 - 286

DOI: https://doi.org/10.2478/v10187-010-0041-4

Parole chiave
magnetic domain wall, motion in wires, thermal fluctuations, Brownian motion, induced electric current

This content is open access.

Field-Driven Brownian Motion of Magnetic Domain Walls

Pubblicato online: 07 giu 2011

Pagine: 282 - 286

DOI: https://doi.org/10.2478/v10187-010-0041-4

Parole chiavemagnetic domain wall, motion in wires, thermal fluctuations, Brownian motion, induced electric current

This content is open access.

Parole chiave
magnetic domain wall, motion in wires, thermal fluctuations, Brownian motion, induced electric current