Parametrically forced sine-Gordon equation and domain wall dynamics in ferromagnets

Journal Article · Sun Mar 01 04:00:00 EST 1998 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.57.5033· OSTI ID:570298

Zharnitsky, V ^[1]; Mitkov, I ^[2]; Levi, M ^[3]

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1. Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912 (United States)
2. Applied Theoretical and Computational Physics Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
3. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12180 (United States)

A parametrically forced sine-Gordon equation with a fast periodic {ital mean-zero} forcing is considered. It is shown that {pi} kinks represent a class of solitary-wave solutions of the equation. This result is applied to quasi-one-dimensional ferromagnets with an easy-plane anisotropy, in a rapidly oscillating magnetic field. In this case the {pi}-kink solution we have introduced corresponds to the uniform {open_quotes}true{close_quotes} domain-wall motion, since the magnetization directions on opposite sides of the wall are antiparallel. In contrast to previous work, no additional anisotropy is required to obtain a true domain wall. Numerical simulations showed good qualitative agreement with the theory. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 570298
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 9 Vol. 57; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
66 PHYSICS
ANISOTROPY
DOMAIN STRUCTURE
FERROMAGNETISM
HAMILTONIANS
MAGNETIC FIELDS
MAGNETIC PROPERTIES
MAGNETIZATION
OSCILLATIONS
SIMULATION
SINE-GORDON EQUATION