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Γ={xt}0τ\Gamma = \{x_t\}_{0}^{\tau}

Why this formula appears here

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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Γ={xt}0τ\Gamma = \{x_t\}_{0}^{\tau}

Equation 5 · 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.

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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