Dragging of an electrically charged particle in a magnetic field.
We study the statistical properties of the total work associated with the Langevin equation for an electrically charged Brownian particle in a two-dimensional harmonic trap and in the presence of a uniform magnetic field. The calculations are performed under the overdamped approximation. The center of the harmonic trap is dragged in an arbitrary time-dependent way. As a result we have found the relation of the averaged work and the variance in the work distribution in the presence of the magnetic field. In addition, the Jarzynski equality (JE) is considered when the potential associated with the working force contains a time-dependent term, giving a way to calculate the change in the free energy. The particular cases in Jayannavar and Sahoo's work [Phys. Rev. E 75, 032102 (2007)] and their use of the JE are also discussed.
Jiménez-Aquino
J I
JI
Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, Codigo Postal 09340, México, Distrito Federal, Mexico. ines@xanum.uam.mx
Velasco
R M
RM
Uribe
F J
FJ