Crooks fluctuation theorem

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The Crooks fluctuation theorem was developed by Gavin E. Crooks. It is also known as the Crooks Identity or the Crooks fluctuation relation. It is given by (Ref. 1 Eq. 2):

where ω is the entropy production, P_F(ω) is the "forward" probability distribution of this entropy production, and P_R( − ω), time-reversed. This expression can be written in terms of work (W) (Ref. 1 Eq. 11):

where β: = 1 / (k_BT) where k_B is the Boltzmann constant and T is the temperature, and A is the Helmholtz energy function.

[edit] References

1. Gavin E. Crooks "Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences", Physical Review E 60 pp. 2721 - 2726 (1999)
2. L. Y. Chen "On the Crooks fluctuation theorem and the Jarzynski equality", Journal of Chemical Physics 129 091101 (2008)