“…A rigorous extremal principle determines the motion of the system, on the one-body level of correlation functions. The concept enabled to obtain a fundamental understanding and quantitative description of a significant array of nonequilibrium phenomena, such as the identification of superadiabatic forces [49], the treatment of active Brownian particles [50][51][52][53], of viscous [54], structural [55,56] and flow forces [56]. Crucially, the DFT remains relevant for the description of nonequilibrium situations, via the adiabatic construction [48,49], which captures those parts of the dynamics that functionally depend on the density distribution alone, and do so instantaneously.…”