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Equation 4 · Part 3 · The Statistical Mechanics of Irreversibility at Molecular Scale

≤

0≤t≤τ0\le t\le\tau
≤

What this part means

Less than or equal to.

Its job in the formula

Less than or equal to.

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 inequality compares values without claiming they are equal. It describes a range, threshold, or bound that a quantity may satisfy.

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