← All parts of this equation

Equation 2 · Part 1 · How Stochastic Thermodynamics and Complex Systems Actually Work

Symbol e^-Δ F / k_B T

e−ΔF/kBT=⟨e−W/kBT⟩e^{-\Delta F / k_B T} = \left\langle e^{-W/k_B T} \right\rangle
e−ΔF/kBTe^{-\Delta F / k_B T}

What this part means

e−e^-Δ F / kBk_B T is part of the quantity the equation computes from the expression on the right.

Its job in the formula

e−e^-Δ F / kBk_B T is part of the quantity the equation computes from the expression on the right.

The passage around this formula

It is not. The Jarzynski equality states e−ΔF/kBT=⟨e−W/kBT⟩e^{-\Delta F / k_B T} = \left\langle e^{-W/k_B T} \right\rangle. where the average is taken over the distribution of work values W from repeated nonequilibrium pulls, kBk_B is Boltzmann’s constant and T the bath temperature [ 1 ] . The identity holds regardless of how fast or violent the pulling protocol is, provided the system starts each repetition in thermal equilibrium. This is the mechanism, stated plainly: because the exponential average is dominated by the rare trajectories that violate the second law locally by absorbing more work back than expected, those rare low-work outcomes carry disproportionate weight, and that weighting is exactly what reconstructs the equilibrium quantity from an…

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.