Nonlinear diffusion through large complex networks containing regular subgraphs

D. Volchenkov, Ph Blanchard

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Transport through generalized trees is considered. Trees contain the simple nodes and supernodes, either well-structured regular subgraphs or those with many triangles. We observe a superdiffusion for the highly connected nodes while it is Brownian for the rest of the nodes. Transport within a supernode is affected by the finite size effects vanishing as N → ∞. For the even dimensions of space, d = 2, 4, 6,..., the finite size effects break down the perturbation theory at small scales and can be regularized by using the heat-kernel expansion.

Original languageEnglish
Pages (from-to)677-697
Number of pages21
JournalJournal of Statistical Physics
Issue number4
StatePublished - May 2007


  • Diffusion
  • Networks and genealogical trees
  • Structures and organization in complex systems


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