A charged particle in a magnetic field - Jarzynski Equality

Details A charged particle in a magnetic field - Jarzynski Equality A charged particle in a magnetic field - Jarzynski Equality

2006-11-20

arxiv.org/abs/cond-mat/0611516v2

Phys. Rev. E 75 , 032102 (2007)

Physics

Condensed Matter

Statistical Mechanics

5 pages, minor corrections made and journal reference added

Scientific paper

We describe some solvable models which illustrate the Jarzynski theorem and related fluctuation theorems. We consider a charged particle in the presence of magnetic field in a two dimensional harmonic well. In the first case the centre of the harmonic potential is translated with a uniform velocity, while in the other case the particle is subjected to an ac force. We show that Jarzynski identity complements Bohr-van Leeuwen theorem on the absence of diamagnetism in equilibrium classical system.

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