Cyclic competition of four species: domains and interfaces
Statistical Mechanics
2015-06-05 v2 Populations and Evolution
Abstract
We study numerically domain growth and interface fluctuations in one- and two-dimensional lattice systems composed of four species that interact in a cyclic way. Particle mobility is implemented through exchanges of particles located on neighboring lattice sites. For the chain we find that domain growth strongly depends on the mobility, with a higher mobility yielding a larger domain growth exponent. In two space dimensions, when also exchanges between mutually neutral particles are possible, both domain growth and interface fluctuations display universal regimes that are independent of the predation and exchange rates.
Keywords
Cite
@article{arxiv.1205.4914,
title = {Cyclic competition of four species: domains and interfaces},
author = {Ahmed Roman and David Konrad and Michel Pleimling},
journal= {arXiv preprint arXiv:1205.4914},
year = {2015}
}
Comments
14 pages, 7 figures, version accepted for publication in J. Stat. Mech