# Crooks fluctuation theorem

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 (^{[1]} Eq. 2):

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

where where is the Boltzmann constant and is the temperature, and is the Helmholtz energy function.

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