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Equation 8 · Part 1 · The Statistical Mechanics of Irreversibility at Molecular Scale

Symbol Δ s_tot

⟨exp⁡(−ΔstotkB)⟩=1.\left\langle \exp\left(-\frac{\Delta s_{\mathrm{tot}}}{k_{\mathrm B}}\right) \right\rangle = 1.
Δstot\Delta s_{\mathrm{tot}}

What this part means

Δ sts_tot occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Its job in the formula

Δ sts_tot occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

Exponentiating and averaging over forward paths produces the integral fluctuation theorem, ⟨exp⁡(−ΔstotkB)⟩=1\left\langle \exp\left(-\frac{\Delta s_{\mathrm{tot}}}{k_{\mathrm B}}\right) \right\rangle = 1. Jensen’s inequality then gives

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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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