Volume 87, Number 1, July 2009
|Number of page(s)||3|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||15 July 2009|
On the Bohr-van Leeuwen theorem, the non-existence of classical magnetism in thermal equilibrium
Department of Physics and Astronomy and Institute for Quantum Sciences, Michigan State University East Lansing, MI 48824, USA
Corresponding author: firstname.lastname@example.org
Accepted: 25 June 2009
We point out that the classical Langevin equation for a charged particle moving on a ring in a constant magnetic field perpendicular to the ring leads at long times to thermal equilibrium and to zero magnetic moment, consistent with the Bohr-van Leeuwen theorem. This fact is a counter-example to the recent claim that the Langevin equation leads to a non-zero diamagnetic moment in thermal equilibrium when the particle moves in a finite but unbounded space.
PACS: 75.20.-g – Diamagnetism, paramagnetism, and superparamagnetism / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 71.10.Ca – Electron gas, Fermi gas
© EPLA, 2009
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