On the mean path length invariance property for random walks of animals in open environment.

ABSTRACT: Random walks are common in nature and are at the basis of many different phenomena that span from neutrons and light scattering to the behaviour of animals. Despite the evident differences among all these phenomena, theory predicts that they all share a common fascinating feature known as Invariance Property (IP). In a nutshell, IP means that the mean length of the total path of a random walker inside a closed domain is fixed by the geometry and size of the medium. Such a property has been demonstrated to hold not only in optics, but recently also in the field of biology, by studying the movement of bacteria. However, the range of validity of such a universal property, strictly linked to the fulfilment of equilibrium conditions and to the statistical distributions of the steps of the rando

SUBMITTER: Tommasi F 

PROVIDER: S-EPMC9672306 | biostudies-literature | 2022 Nov

REPOSITORIES: biostudies-literature