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Equation 21 · Part 3 · The Statistical Mechanics of Irreversibility at Molecular Scale

Symbol k_mathrm B

⟨Στ⟩=⟨Δstot⟩/kB\langle\Sigma_\tau\rangle=\langle\Delta s_{\mathrm{tot}}\rangle/k_{\mathrm B}
kBk_{\mathrm B}

What this part means

kmk_mathrm B is an input to the expression that computes the quantity on the left.

Its job in the formula

kmk_mathrm B is an input to the expression that computes the quantity on the left.

The passage around this formula

A molecular clock or motor is useful not only when its average current is nonzero but when that current is sufficiently precise. Let JτJ_\tau be an integrated current observed for time τ\tau , such as net molecular steps or transported ions. Define dimensionless mean entropy production ⟨\langleΣτ\Sigma_\tau⟩\rangle=⟨\langleΔ\Delta stots_{\mathrm{tot}}⟩\rangle/kBk_{\mathrm B} . A canonical steady-state thermodynamic uncertainty relation has the form

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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