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PR(W)P_{\mathrm R}(W)

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Gavin Crooks sharpened this two years later into a statement about entire probability distributions rather than a single average. If PF(W)P_{\mathrm F}(W) is the distribution of work values measured over many repetitions of a forward protocol, and PR(W)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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PRP_{\mathrm R}

Symbol P_mathrm R

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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WW

Symbol W

W 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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PR(W)P_{\mathrm R}(W)

Equation 11 · Evolutionary Physics

The Arrow of Time and the Engine of Evolution

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Gavin Crooks sharpened this two years later into a statement about entire probability distributions rather than a single average. If PF(W)P_{\mathrm F}(W) is the distribution of work values measured over many repetitions of a forward protocol, and PR(W)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

Meanings in this article

  • PRP_{\mathrm R}: 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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