Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-12-23
EPL, vol. 89, 37001 (2010)
Physics
Condensed Matter
Statistical Mechanics
6 pages; typos corrected
Scientific paper
10.1209/0295-5075/89/37001
We show that the classical Langevin dynamics for a charged particle on a closed curved surface in a time-independent magnetic field leads to the canonical distribution in the long time limit. Thus the Bohr-van Leeuwen theorem holds even for a finite system without any boundary and the average magnetic moment is zero. This is contrary to the recent claim by Kumar and Kumar (EPL, {\bf 86} (2009) 17001), obtained from numerical analysis of Langevin dynamics, that a classical charged particle on the surface of a sphere in the presence of a magnetic field has a nonzero average diamagnetic moment. We extend our analysis to a many-particle system on a curved surface and show that the nonequilibrium fluctuation theorems also hold in this geometry.
Pradhan Punyabrata
Seifert Udo
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