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Nonlinear Diffusion Through Large Complex Networks Containing Regular Subgraphs | | D. Volchenkov
; Ph. Blanchard
; | | Date: |
30 Jun 2006 | | Subject: | Disordered Systems and Neural Networks | | Abstract: | Transport through generalized trees is considered. Trees contain the simple nodes and supernodes, either the well-structured regular subgraphs or those ample with triangles. We observe a superdiffusion for the highly connected nodes while it is Brownian ($propto t^{-d/2}$, $d$ is the intrinsic space dimension of regular subgraphs) for the rest of nodes. Transport within a supernode is affected by the finite size effects vanishing as $N oinfty.$ For the even dimensions of space, $d=2,4,6,...$, the finite size effects break down the perturbation theory in small scales and can be regularized by the heat-kernel expansion. | | Source: | arXiv, cond-mat/0606797 | | Services: | Forum | Review | PDF | Favorites | |
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