When we model probability of a variable $latex x$ by $latex p(x) = {e^{-\frac{F(x)}{T}}}$, $latex F(x)$ is often referred to as the free energy. The name is coming from historical reason. The Gibbs-Boltzmann distribution for a configuration is proportional to $latex e^{-\frac{H}{k_B T}}$. And the closest reason I found is from here $latex p(H,T) =…
Free energy
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