Nonequilibrium work distributions for a trapped Brownian particle in a time-dependent magnetic field

Saha, Arnab ; Jayannavar, A. M. (2008) Nonequilibrium work distributions for a trapped Brownian particle in a time-dependent magnetic field Physical Review E, 77 (2). 022105_1-022105_4. ISSN 1063-651X

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Official URL: http://link.aps.org/doi/10.1103/PhysRevE.77.022105

Related URL: http://dx.doi.org/10.1103/PhysRevE.77.022105

Abstract

We study the dynamics of a trapped, charged Brownian particle in the presence of a time-dependent magnetic field. We calculate work distributions for different time-dependent protocols numerically. In our problem, thermodynamic work is related to variation of the vector potential with time as opposed to the earlier studies where the work is related to time variation of the potentials, a quantity that depends only on the coordinates of the particle. Using the Jarzynski and the Crooks equalities, we show that the free energy of the particle is independent of the magnetic field, thus complementing the Bohr-van Leeuwen theorem. We also show that our system exhibits a parametric resonance in a certain parameter space.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:14337
Deposited On:12 Nov 2010 08:42
Last Modified:16 May 2016 23:19

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