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Equation 8 · Part 1 · From Origins to Frontier: A History of Stochastic Thermodynamics and Complex Systems

Symbol W

WW
WW

What this part means

W is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

W is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

The next structural advance did not concern the demon at all; it concerned a much older and more general problem — how to extract equilibrium information from a process driven arbitrarily far from equilibrium. In 1997, Christopher Jarzynski published “Nonequilibrium Equality for Free Energy Differences” in Physical Review Letters [ 3 ] . The Jarzynski equality states that if a system is driven from one equilibrium state to another along some protocol, performing a fluctuating amount of work W on each repetition, the equilibrium free energy difference Δ\Delta F between the two states can be recovered exactly from an exponential average over the work distribution:

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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