Equation 21 · Part 6 · The Statistical Mechanics of Irreversibility at Molecular Scale

subscript

\langle\Sigma_\tau\rangle=\langle\Delta s_{\mathrm{tot}}\rangle/k_{\mathrm B}

subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

Full expressionsubscriptArticle meaning

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 $J_\tau$ be an integrated current observed for time $\tau$ , such as net molecular steps or transported ions. Define dimensionless mean entropy production $\langle$ $\Sigma_\tau$ $\rangle$ = $\langle$ $\Delta$ $s_{\mathrm{tot}}$ $\rangle$ / $k_{\mathrm B}$ . A canonical steady-state thermodynamic uncertainty relation has the form

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Learn the underlying idea

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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