Equation 3 · Part 2 · The Statistical Mechanics of Irreversibility at Molecular Scale

subscript

\lambda_t

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

Consider a mesoscopic system coupled to a heat bath at temperature T . Its state $x_t$ follows noisy dynamics under a time-dependent protocol $\lambda_t$ . A trajectory over 0 $\le$ t $\le$ $\tau$ is denoted $\Gamma$ = \{ $x_t$ \}_{0}^{ $\tau$ } . The corresponding reverse experiment begins from the appropriate final ensemble, applies the reversed protocol, and generates a conjugate path $\Gamma^\dagger$ .

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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.

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

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