English

Gyroscopic tensor of a magnetic soliton

Pattern Formation and Solitons 2022-09-01 v2 Mesoscale and Nanoscale Physics

Abstract

The gyroscopic force acting on a ferromagnetic soliton reflects the tendency of spins to precess. Its components increase linearly with (generalized) velocities of the soliton. The proportionality coefficients form the gyroscopic tensor, a generalization of Thiele's gyrovector. Originally introduced as an auxiliary quantity, the gyroscopic tensor turns out to be a mathematical object of fundamental importance with a long history going back to Lagrange. We review the applications of the gyroscopic tensor and its historical roots.

Keywords

Cite

@article{arxiv.2206.07158,
  title  = {Gyroscopic tensor of a magnetic soliton},
  author = {Rocio Gonzalez and Oleg Tchernyshyov},
  journal= {arXiv preprint arXiv:2206.07158},
  year   = {2022}
}

Comments

This paper has been submitted to a special issue of the Journal of Magnetism and Magnetic Materials in honor of C.L. Chien's 80th birthday. This version has been revised in response to referee reports