I'm looking for the Gilbert's original paper where he derives the gyromagnetic Landau Lifshitz Gilbert (LLG) equation of motion from a variational principle.

Most of the people cite:

Gilbert, Thomas L. "A Lagrangian formulation of the gyromagnetic equation of the magnetization field." Phys. Rev. 100 (1955): 1243.

So I've asked my library to retrieve it and... surprise! This page (1243) shows only a paragraph referencing something like a session in a conference, not a paper!

Physical Review Journals Archive, Volume 100, Issue 4, November 1955

I guess my expectations were too high (you know, some equations, maybe more than one paragraph...)

Does anyone know the correct reference then?

  • $\begingroup$ You probably need to supply a proper reference, at the very least the precise title. $\endgroup$ – StephenG Jul 14 at 7:48
  • 7
    $\begingroup$ This post Landau Lifshitz Gilbert equation may be of use? $\endgroup$ – Farcher Jul 14 at 8:00
  • $\begingroup$ @Farcher, yes, a really curious case. An excellent find! $\endgroup$ – kkm Jul 14 at 8:06
  • $\begingroup$ I don't have Gilbert's reference, but a clear presentation of Gilbert's equation and assumptions is gven by Wegrowe and Ciornei in the following article: arxiv.org/abs/1109.6782v1 $\endgroup$ – David Bar Moshe Jul 14 at 11:20
  • $\begingroup$ Some background: mogadalai.wordpress.com/2007/10/11/… $\endgroup$ – Bob Jacobsen Jul 14 at 16:57

Gilbert cites himself in:

Gilbert, Thomas L. "A phenomenological theory of damping in ferromagnetic materials." IEEE Transactions on Magnetics 40.6 (2004): 3443-3449.


T. L. Gilbert and J. M. Kelly, “Anomalous rotational damping in fer- romagnetic sheets,” in Conf. Magnetism and Magnetic Materials, Pitts- burgh, PA, June 14–16, 1955. NewYork: American Institute ofElectrical Engineers, Oct. 1955, pp. 253–263.

In the acknowledgments of the former he recognizes:

"This paper is a condensed version of chapters I–III of my Ph.D. thesis in which a new equation for the damped motion of the magnetization field in a ferromagnet was derived (...)"

So I guess the thesis is the "original paper" and the 2004 IEEE paper reference should be used to help people looking for easy access to the derivation. Does that make sense?


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