← All parts of this equation

Equation 22 · Part 1 · The Statistical Mechanics of Irreversibility at Molecular Scale

Symbol J_τ

Var⁡(Jτ)⟨Jτ⟩2≥2⟨Στ⟩.\frac{\operatorname{Var}(J_\tau)}{\langle J_\tau\rangle^2} \ge \frac{2}{\langle\Sigma_\tau\rangle}.
JτJ_\tau

What this part means

an integrated current observed for time τ\tau , such as net molecular steps or transported ions.

Its job in the formula

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

Where the article explains it

Let JτJ_\tau be an integrated current observed for time τ\tau , such as net molecular steps or transported ions.

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…

Read this part in the article →

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.

Open the illustrated subscripts: which member of a family? guide →

See this notation across published equations →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.