Equation 10 · The Arrow of Time and the Engine of Evolution

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P_{\mathrm F}(W)

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P_{\mathrm F}

Symbol P_mathrm F

$P_m$ athrm F is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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W

Symbol W

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subscript

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What the article says around this equation

Gavin Crooks sharpened this two years later into a statement about entire probability distributions rather than a single average. If $P_{\mathrm F}(W)$ is the distribution of work values measured over many repetitions of a forward protocol, and $P_{\mathrm R}(W)$ is the distribution measured over the time-reversed protocol run from its own correctly defined reverse-equilibrium starting ensemble, the two distributions are related by

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