Generalized Boltzmann distributions for systems strongly coupled to large finite bath -- a microcanonical approach

Yu-Chen Cheng, Wenning Wang, Zhiyue Lu +1

The theory of probability shows that, as the fraction $X_n/Y\to 0$, the conditional probability for $X_n$, given $X_n+Y\in h_{\delta }:=[h,h+\delta ]$, has a limit law $f_{X_n}(x)e^{-ψ_n(h_δ)x…