Equation 1 · The Statistical Mechanics of Irreversibility at Molecular Scale

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T

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the temperature. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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T

Symbol T

the temperature.

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

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