On the work distribution for the adiabatic compression of a dilute classical gas

Details On the work distribution for the adiabatic compression of a dilute classical gas On the work distribution for the adiabatic compression of a dilute classical gas

2006-03-06

arxiv.org/abs/cond-mat/0603116v1

Phys. Rev. E 75, 021116 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

10.1103/PhysRevE.75.021116

We consider the adiabatic and quasi-static compression of a dilute classical gas, confined in a piston and initially equilibrated with a heat bath. We find that the work performed during this process is described statistically by a gamma distribution. We use this result to show that the model satisfies the non-equilibrium work and fluctuation theorems, but not the flucutation-dissipation relation. We discuss the rare but dominant realizations that contribute most to the exponential average of the work, and relate our results to potentially universal work distributions.

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