Equation 5 · Part 2 · The Statistical Mechanics of Irreversibility at Molecular Scale

Symbol x_t

\Gamma = \{x_t\}_{0}^{\tau}

x_t

What this part means

$x_t$ is an input to the expression that computes the quantity on the left.

Its job in the formula

$x_t$ is an input to the expression that computes the quantity on the left.

Full expressionSymbol x_tArticle 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.

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