Replica Symmetry Breaking in the Random Replicant Model
Condensed Matter
2009-10-28 v1
Abstract
We study the statistical mechanics of a model describing the coevolution of species interacting in a random way. We find that at high competition replica symmetry is broken. We solve the model in the approximation of one step replica symmetry breaking and we compare our findings with accurate numerical simulations.
Cite
@article{arxiv.cond-mat/9501137,
title = {Replica Symmetry Breaking in the Random Replicant Model},
author = {P Biscari and G Parisi},
journal= {arXiv preprint arXiv:cond-mat/9501137},
year = {2009}
}
Comments
12 pages, TeX, 5 postscript figures are avalaible upon request, submitted to Journal of Physics A: Mathematical and General