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Physics of free climbing
Physical Review E ( IF 2.2 ) Pub Date : 2021-06-21 , DOI: 10.1103/physreve.103.062135
Bartłomiej Dybiec 1 , Karol Capała 1 , Jakub Barbasz 2
Affiliation  

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

中文翻译:

自由攀登物理学

随机过程理论提供了理论工具,可以有效地用于探索噪声诱导逃逸动力学的特性。由于噪声促进越过势垒类似于自由攀登,因此可以在攀岩分析中使用首次通过时间理论。我们对平均首次通过时间进行分析,以回答有关最佳绳索长度的问题,即导致最快攀登绳索长度。结果表明,有一组离散的有利绳索长度可确保最短的攀爬时间,因为它们对应于平均首次通过时间的局部最小值。在一组有利的绳索长度内,有一种最佳绳索可以缩短攀登时间。特别是,更有经验的登山者可以通过使用更长的绳索来减少攀登时间。
更新日期:2021-06-22
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