Work fluctuations for Bose particles in grand canonical initial states

Details Work fluctuations for Bose particles in grand canonical initial states Work fluctuations for Bose particles in grand canonical initial states

2012-02-15

arxiv.org/abs/1202.3229v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 4 figures

Scientific paper

We consider bosons in a harmonic trap and investigate the fluctuations of the work performed by an adiabatic change of the trap curvature. Depending on the reservoir conditions such as temperature and chemical potential that provide the initial equilibrium state, the exponentiated work average (EWA) defined in the context of the Crooks relation and the Jarzynski equality may diverge if the trap becomes wider. We investigate how the probability distribution function (PDF) of the work signals this divergence. It is shown that at low temperatures the PDF is highly asymmetric with a steep fall off at one side and an exponential tail at the other side. For high temperatures it is closer to a symmetric distribution approaching a Gaussian form. These properties of the work PDF are discussed in relation to the convergence of the EWA and to the existence of the hypothetical equilibrium state to which those thermodynamic potential changes refer that enter both the Crooks relation and the Jarzynski equality.

Affiliated with

Also associated with

No associations

Rating

Work fluctuations for Bose particles in grand canonical initial states 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 Work fluctuations for Bose particles in grand canonical initial states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Work fluctuations for Bose particles in grand canonical initial states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556829