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Equation 6 · Part 1 · The Statistical Mechanics of Irreversibility at Molecular Scale

Symbol Gamma^dagger

Γ†\Gamma^\dagger
Γ†\Gamma^\dagger

What this part means

the generates a conjugate path.

Its job in the formula

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

Where the article explains it

The corresponding reverse experiment begins from the appropriate final ensemble, applies the reversed protocol, and generates a conjugate path Γ†\Gamma^\dagger .

The passage around this formula

Consider a mesoscopic system coupled to a heat bath at temperature T . Its state xtx_t follows noisy dynamics under a time-dependent protocol λt\lambda_t . A trajectory over 0≤\le t≤\leτ\tau is denoted Γ\Gamma = \{xtx_t\}_{0}^{τ\tau} . The corresponding reverse experiment begins from the appropriate final ensemble, applies the reversed protocol, and generates a conjugate path Γ†\Gamma^\dagger .

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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