Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-11-26
Journal of Physical Society of Japan Vol.73 (2004) p.2979
Physics
Condensed Matter
Statistical Mechanics
8 pages, 6 figures
Scientific paper
10.1143/JPSJ.73.2979
The traffic-like collective movement of ants on a trail can be described by a stochastic cellular automaton model. We have earlier investigated its unusual flow-density relation by using various mean field approximations and computer simulations. In this paper, we study the model following an alternative approach based on the analogy with the zero range process, which is one of the few known exactly solvable stochastic dynamical models. We show that our theory can quantitatively account for the unusual non-monotonic dependence of the average speed of the ants on their density for finite lattices with periodic boundary conditions. Moreover, we argue that the model exhibits a continuous phase transition at the critial density only in a limiting case. Furthermore, we investigate the phase diagram of the model by replacing the periodic boundary conditions by open boundary conditions.
Chowdhury Debashish
John Ajita
Kunwar Ambarish
Nishinari Katsuhiro
Schadschneider Andreas
No associations
LandOfFree
Collective traffic-like movement of ants on a trail: dynamical phases and phase transitions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Collective traffic-like movement of ants on a trail: dynamical phases and phase transitions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collective traffic-like movement of ants on a trail: dynamical phases and phase transitions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-353170