Abstract
The solution of the Langevin equation including the inertia term is used to prove the transient work-fluctuation theorem for an electrically charged Brownian harmonic oscillator in an electromagnetic field. The theorem is proved for the physical situation in which the system is driven out of equilibrium by an arbitrary time-dependent dragging of the trap potential minimum. The proof is first given for a harmonic oscillator in the absence of an electromagnetic field, and then is extended to include the case of a charged harmonic oscillator under the action of crossed electric and magnetic fields. The case of a linear motion for the potential minimum is explicitly addressed.
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