title: Statistics of reciprocal distances for random walks of three particles in one dimension.
abstract: We investigate the collective properties of three particles performing both independent and interacting random walks on an infinite line by studying the problem on the corresponding distance graph. In the large times limit, we obtain the asymptotically exact behavior of several probability functions regarding maximum and minimum mutual distances among particles. Finally, we suggest possible applications of our results.
authors: Università San Raffaele Roma, via Fantoli 16/15, I-20138 Milano, Italy. riccardo.campari@fis.unipr.it
authors: Riccardo
authors: R
authors: Campari
authors: Davide
authors: D
authors: Cassi