Diffusers, potential slides, and surmountability

A diffuser traversing an infinitely steep ‘potential slide’ might never overcome it. In such cases, the notion of First Passage Time—‘how long would it take till the diffuser surmounts the slide?’—is inadequate. Rather, the notion of relevance is that of Peak Height—‘how high-up the potential slide would the diffuser reach?’. Placing the ‘potential slide’ on the non-negative half-line, the Global Minimum attained by the diffuser's trajectory becomes a universal measure for the Peak Height.