(b) (a) Δ 1.0 0.5 0.0 PI CG w (x) FIG. 1: Pictorial representation of the adaptive box and molecular representation. The region on the left, indicated by CG , is the low resolution region (coarse-grained), the central part is the transition (hybrid) region Δ, where the switching function w ( x ) is defined, and the region on the right, indicated by PI is the high resolution region (full path integral region). 9