The reversible nearest particle systgems on a finite interval

Chen, Dayue; Liu, Juxin; Zhang, Fuxi

The reversible nearest particle systgems on a finite interval

Authors

Chen, Dayue

Liu, Juxin

Zhang, Fuxi

Description

In this paper we study a one-parameter family of attractive reversible nearest particle system on a finite interval. As the length of the interval increases, the time that the nearest particle system first hits the empty set increases in different order, from logarithmic to exponential, according to the intensity of interaction. In particular, at the critical case, the first hitting time increases in a polynomial order.