Surface currents in Hall devices

A variational approach is used in order to study the stationary states of Hall devices. Charge accumulation, electric potentials and electric currents are investigated on the basis of the Kirchhoff-Helmholtz principle of least heat dissipation. A simple expression for the state of minimum power diss...

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Bibliographic Details
Published in:arXiv.org 2019-08
Main Authors: Creff, M, Faisant, F, Rubì, J M, J -E Wegrowe
Format: Article
Language:English
Subjects:
Accumulation
Boundary layers
Chemical potential
Electric charge
Longitude
Organic chemistry
Online Access:Get full text
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Summary:A variational approach is used in order to study the stationary states of Hall devices. Charge accumulation, electric potentials and electric currents are investigated on the basis of the Kirchhoff-Helmholtz principle of least heat dissipation. A simple expression for the state of minimum power dissipated -- that corresponds to zero transverse current and harmonic chemical potential -- is derived. It is shown that a longitudinal surface current proportional to the charge accumulation is flowing near the edges of the device. Charge accumulation and surface currents define a boundary layer over a distance of the order of the Debye-Fermi length.
ISSN:2331-8422
DOI:10.48550/arxiv.1908.06282