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W>ΔFW>\Delta F

Why this formula appears here

In equilibrium statistical mechanics, the free-energy difference Δ\Delta F between two control-parameter values is a state function. A rapid drive between them generally performs work W>Δ\Delta F on average because dissipation is positive. It would seem that estimating Δ\Delta F requires an impractically slow, quasistatic protocol. The Jarzynski equality demonstrates otherwise:

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WW

Symbol W

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ΔF\Delta F

Symbol Δ F

Δ 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>ΔFW>\Delta F

Equation 11 · Physics

The Statistical Mechanics of Irreversibility at Molecular Scale

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

In equilibrium statistical mechanics, the free-energy difference Δ\Delta F between two control-parameter values is a state function. A rapid drive between them generally performs work W>Δ\Delta F on average because dissipation is positive. It would seem that estimating Δ\Delta F requires an impractically slow, quasistatic protocol. The Jarzynski equality demonstrates otherwise:

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