Physics of free climbing

Theory of stochastic processes provides theoretical tools which can be efficiently used to explore properties noise induced escape kinetics. Since facilitated over the potential barrier resembles free climbing, one use first passage time theory in analysis rock climbing. We perform mean order answer question regarding optimal, i.e., resulting fastest rope length. It is demonstrated that there a discrete set favorable lengths assuring shortest climbing times, as they correspond local minima time. Within optimal giving rise In particular, more experienced climbers decrease their by using longer ropes.