English

Variations on the adiabatic invariance: the Lorentz pendulum

Classical Physics 2015-06-11 v1 Mathematical Physics math.MP Quantum Physics

Abstract

We analyze a very simple variant of the Lorentz pendulum, in which the length is varied exponentially, instead of uniformly, as it is assumed in the standard case. We establish quantitative criteria for the condition of adiabatic changes in both pendula and put in evidence their substantially different physical behavior with regard to adiabatic invariance.

Cite

@article{arxiv.1210.4241,
  title  = {Variations on the adiabatic invariance: the Lorentz pendulum},
  author = {Luis L. Sanchez-Soto and J. Zoido},
  journal= {arXiv preprint arXiv:1210.4241},
  year   = {2015}
}

Comments

To appear in American Journal of Physics

R2 v1 2026-06-21T22:22:17.741Z