Longitudinal Force on a Moving Potential
Jian-Ming Tang, D. J. Thouless
TL;DR
This paper derives a formal result for the longitudinal force on a moving potential, applicable to systems like electrons with magnetic flux and phonons scattering off vortices, using phase-shift analysis.
Contribution
It establishes the equivalence between adiabatic perturbation theory and kinetic theory for the longitudinal force in velocity-dependent potentials.
Findings
Formal derivation of longitudinal force on moving potentials.
Equivalence between adiabatic and kinetic theories.
Applicable to systems with velocity-dependent potentials.
Abstract
We show a formal result of the longitudinal force acting on a moving potential. The potential can be velocity-dependent, which appears in various interesting physical systems, such as electrons in the presence of a magnetic flux-line, or phonons scattering off a moving vortex. By using the phase-shift analysis, we are able to show the equivalence between the adiabatic perturbation theory and the kinetic theory for the longitudinal force in the dilute gas limit.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.