Replica Symmetry Breaking in the Random Replicant Model

Details Replica Symmetry Breaking in the Random Replicant Model Replica Symmetry Breaking in the Random Replicant Model

1995-01-31

arxiv.org/abs/cond-mat/9501137v1

Physics

Condensed Matter

12 pages, TeX, 5 postscript figures are avalaible upon request, submitted to Journal of Physics A: Mathematical and General

Scientific paper

10.1088/0305-4470/28/17/006

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.

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