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Equation 17 · Part 4 · The Statistical Mechanics of Irreversibility at Molecular Scale

Symbol W

dU=δW+δQ,dU = \delta W + \delta Q,
WW

What this part means

W is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

W is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

For an overdamped particle in a potential U(x,λ\lambda) , an infinitesimal energy balance can be written schematically as dU=δW+δQdU = \delta W + \delta Q. with work associated with changing the control parameter and heat associated with motion through the force field. The distinction depends on the physical protocol, not merely on algebraic rearrangement. Stochastic energetics must also specify a calculus convention when multiplicative noise is present.

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Learn the underlying idea

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 article section

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