TY - JOUR

T1 - Nonlinear diffusion through large complex networks containing regular subgraphs

AU - Volchenkov, Dimitri

AU - Blanchard, Ph

PY - 2007/5/1

Y1 - 2007/5/1

N2 - 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. © Springer Science+Business Media, LLC 2007.

AB - 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. © Springer Science+Business Media, LLC 2007.

M3 - Article

SP - 677

EP - 697

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

ER -