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Published equation contexts

dU=δW+δQdU = \delta W + \delta Q

Why this formula appears here

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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Published contexts (1)

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dU=δW+δQ,dU = \delta W + \delta Q,

Equation 17 · Physics

The Statistical Mechanics of Irreversibility at Molecular Scale

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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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