Variations on the adiabatic invariance: the Lorentz pendulum

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.

To appear in American Journal of Physics

References in corpus (2)

• The Adiabatic Invariance of the Action Variable in Classical Dynamics
• Geometry of the adiabatic theorem

Cited by in corpus (3)

• Higher-derivative harmonic oscillators: stability of classical dynamics and adiabatic invariants
• The Rayleigh-Lorentz Invariant and Optimal Adiabatic Qubit-Information Detection for Superconducting Qubit Resonators
• The Ermakov-Pinney Equation: its varied origins and the effects of the introduction of symmetry-breaking functions