Charged particle in a magnetic field: Jarzynski equality

We describe some solvable models which illustrate the Jarzynski theorem and related fluctuation theorems. We consider a charged particle in the presence of a magnetic field in a two-dimensional harmonic well. In the first case the center of the harmonic potential is translated with a uniform velocit...

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Bibliographic Details
Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 75; no. 3 Pt 1; p. 032102
Main Authors Jayannavar, A M, Sahoo, Mamata
Format Journal Article
LanguageEnglish
Published United States 01.03.2007
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Summary:We describe some solvable models which illustrate the Jarzynski theorem and related fluctuation theorems. We consider a charged particle in the presence of a magnetic field in a two-dimensional harmonic well. In the first case the center 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 the Jarzynski identity complements the Bohr-van Leeuwen theorem on the absence of diamagnetism in an equilibrium classical system.
ISSN:1539-3755
DOI:10.1103/physreve.75.032102