LETTER TO THE EDITOR: Alternating steady state in onedimensional flocking
Abstract
We study flocking in one dimension, introducing a lattice model in which particles can move either left or right. We find that the model exhibits a continuous nonequilibrium phase transition from a condensed phase, in which a single `flock' contains a finite fraction of the particles, to a homogeneous phase; we study the transition using numerical finitesize scaling. Surprisingly, in the condensed phase the steady state is alternating, with the mean direction of motion of particles reversing stochastically on a timescale proportional to the logarithm of the system size. We present a simple argument to explain this logarithmic dependence. We argue that the reversals are essential to the survival of the condensate. Thus, the discrete directional symmetry is not spontaneously broken.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 February 1999
 DOI:
 10.1088/03054470/32/8/002
 arXiv:
 arXiv:condmat/9811336
 Bibcode:
 1999JPhA...32L..99O
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 8 pages LaTeX2e, 5 figures. Uses epsfig and IOP style. Submitted to J. Phys. A (Math. Gen.)