Equation 11 · Part 1 · The Arrow of Time and the Engine of Evolution

Symbol P_mathrm R

P_{\mathrm R}(W)

P_{\mathrm R}

What this part means

the distribution measured over the time-reversed protocol run from its own correctly defined reverse-equilibrium starting ensemble, the two distributions are related by.

Its job in the formula

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

Full expressionSymbol P_mathrm RArticle meaning

Where the article explains it

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

The passage around this formula

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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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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