Work-fluctuation relations for a Brownian particle in an electromagnetic field

In statistical physics of nano-sized systems out of equilibrium, a variety of theoretical approaches and experimental demonstrations to prove some work-fluctuation have been reported recently in the literature[1,5]. In this work , we discuss how some of those theoretical approaches can be extended to give a proof of some work-fluctuation relations for an electrically charged harmonic oscillator in the presence of an uniform electromagnetic field. The perspectives of our proposal will also be discussed. [1] R. van Zon and E. G. D. Cohen, Phys. Rev. E {\bf 67}, 046102 (2003). [2] C. Bustamante, J. Liphardt, F. Ritort, Phys. Today {\bf 58} (7), 43 (2005). [3] D. J. Evans, D. J. Searles, Adv. Phys. {\bf 51}, 1529 (2002). [4] G. M. Wang {\it et al}., Phys. Rev. Lett. {\bf 89}, 050601 (2002). [5] A. M. Jayannavar, M. Sahoo, Phys, Rev. E {\bf 75}, 032102 (2007).