Free-energy landscape (source code)

= Free-energy landscape
{title2=$G(x)=-k_BT\log P_{\rm eq}(x)+\mathrm{constant}$}

At fixed environmental constraints, integrate out unobserved coordinates to obtain an equilibrium probability density for a chosen reaction coordinate $x$. Relative to a specified coordinate measure, the displayed <free energy> reproduces that density. A change of coordinate can add a Jacobian term, so the profile is not independent of its coordinate convention. Minima identify probable basins, while barriers relative to an initial basin contribute to activated kinetics; a kinetic prefactor still requires dynamics. A conjugate <force> tilts the profile by $-Fx$.