Equation 4 · The Statistical Mechanics of Irreversibility at Molecular Scale
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol t
t is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Symbol τ
τ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Consider a mesoscopic system coupled to a heat bath at temperature T . Its state follows noisy dynamics under a time-dependent protocol . A trajectory over 0 t is denoted = \{\}_{0}^{} . The corresponding reverse experiment begins from the appropriate final ensemble, applies the reversed protocol, and generates a conjugate path .
For background, read the article’s source list.
Return to The Statistical Mechanics of Irreversibility at Molecular Scale