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Equation 20 · Part 1 · The Statistical Mechanics of Irreversibility at Molecular Scale

Symbol τ

τ\tau
τ\tau

What this part means

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

Its job in the formula

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

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 variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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