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

Details Nonequilibrium Work distributions for a trapped Brownian particle in a time dependent magnetic field Nonequilibrium Work distributions for a trapped Brownian particle in a time dependent magnetic field

2007-07-14

arxiv.org/abs/0707.2131v1

Physics

Condensed Matter

Statistical Mechanics

4 pages and 5 figures

Scientific paper

10.1103/PhysRevE.77.022105

We study the dynamics of a trapped, charged Brownian particle in presence of a time dependent magnetic field. We calculate work distributions for different time dependent protocols. In our problem thermodynamic work is related to variation of vector potential with time as opposed to the earlier studies where the work is related to time variation of the potentials which depends only on the coordinates of the particle. Using Jarzynski identity and Crook's equality 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 certain parameter space.

Affiliated with

Also associated with

No associations

Rating

Nonequilibrium Work distributions for a trapped Brownian particle in a time dependent magnetic field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonequilibrium Work distributions for a trapped Brownian particle in a time dependent magnetic field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonequilibrium Work distributions for a trapped Brownian particle in a time dependent magnetic field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254046