Dynamic rewiring in small world networks.
We investigate equilibrium properties of small world networks, in which both connectivity and spin variables are dynamic, using replicated transfer matrices within the replica symmetric approximation. Population dynamics techniques allow us to examine the order parameters of our system at total equilibrium, probing both spin and graph statistics. Of these, interestingly, the degree distribution is found to acquire a Poisson-like form (both within and outside the ordered phase). Comparison with Glauber simulations confirms our results satisfactorily.
Laboratory for Mathematical Neuroscience, RIKEN Brain Science Institute, Saitama 351-0198, Japan. hatchett@brain.riken.jp
J P L
JP
Hatchett
N S
NS
Skantzos
T
T
Nikoletopoulos