# A phenomenological theory of damping in ferromagnetic materials

@article{Gilbert2004APT,
title={A phenomenological theory of damping in ferromagnetic materials},
author={Thomas L. Gilbert},
journal={IEEE Transactions on Magnetics},
year={2004},
volume={40},
pages={3443-3449}
}
• T. Gilbert
• Published 8 November 2004
• Physics
• IEEE Transactions on Magnetics
In 1955, a phenomenological theory of ferromagnetism was well established and had been corroborated by a considerable amount of experimental data. However, there were problems in the phenomenological theory of the dynamics of the magnetization field. The Landau-Lifshitz equation for damping of the motion of the magnetization field could not account for the large noneddy-current damping in thin Permalloy sheets. The problem undertaken herein is a reformulation of the theory in a way that is more… Expand
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#### References

SHOWING 1-10 OF 31 REFERENCES
Ferromagnetic Resonance and the Internal Field in Ferromagnetic Materials
A classical treatment of the domain energy terms of a homogeneous ferromagnetic solid leads to a formula for the internal field contributions from these terms. With this result, modifications in theExpand
A mechanism of magnetic hysteresis in heterogeneous alloys
• Physics
• 1991
It is suggested that in many ferromagnetic materials there may occur particles distinct in magnetic character from the general matrix, and below the critical size, depending on shape, for whichExpand
Motion of individual domain walls in a nickel-iron ferrite
Samples have been cut from single crystals of the nickel-iron ferrite (NiO) 0.75 (FeO 0.25 Fe 2 O 3 in such a way that they contain one and only one movable ferromagnetic domain wall. The viscousExpand
Field dependence of the intrinsic domain magnetization of a ferromagnet
• Physics
• 1940
In this paper, the variation of the intrinsic domain magnetization of a ferromagnetic with the external magnetic field, is obtained. The basis of the treatment is the exchange interaction modelExpand
ON THE THEORY OF THE DISPERSION OF MAGNETIC PERMEABILITY IN FERROMAGNETIC BODIES
• Computer Science
• 1935
This chapter examines the distribution of magnetic moments in a ferromagnetic crystal and finds that if the crystal is placed in an external magnetic field, the boundaries between the layers begin to move so that the layers with magnetic moments parallel to the field become wider. Expand
Relaxation Processes in Ferromagnetism
Publisher Summary This chapter provides an overview of relaxation processes in ferromagnetism. A relaxation process means either a “spin–lattice’’ relaxation or a “spin–spin” relaxation. The formerExpand
The time-decrease of permeability at low magnetizing forces
• Materials Science
• 1934
It has been found that in both normal and incremental permeability measurements the values obtained at low flux densities are increased by the application of a large magnetizing force, such as isExpand
On the Theory of Ferromagnetic Resonance Absorption
The theory of ferromagnetic resonance absorption previously developed is extended to include the effect of the shape of the specimen and, in the case of a single crystal, the effect of crystalExpand
Zur Theorie des Austauschproblems und der Remanenzerscheinung der Ferromagnetika
ZusammenfassungDie Slatersche Methode zur Behandlung der Austauschaufspaltung und Termsystemeinteilung beim Mehrkörperproblem wird analog zur Jordan-Kleinschen Theorie umgeformt in eine nichtlineareExpand
Time effects in magnetization
Zusammenfassung Es wird eine Theorie der langzeitlichen magnetischen Nachwirkung und der zeitlichen Desakkomodation entwickelt, welche die beiden Erscheinungen als Folgen derselben Tatsache auffasst,Expand