Dynamics of condensation in growing complex networks Export

@article{citeulike:5061000, abstract = {A condensation transition was predicted for growing technological networks evolving by preferential attachment and competing quality of their nodes, as described by the fitness model. When this condensation occurs, a node acquires a finite fraction of all the links of the network. Earlier studies based on steady-state degree distribution and on the mapping to Bose-Einstein condensation were able to identify the critical point. Here we characterize the dynamics of condensation and we present evidence that below the condensation temperature there is a slow down of the dynamics and that a single node (not necessarily the best node in the network) emerges as the winner for very long times. The characteristic time t* at which this phenomenon occurs diverges both at the critical point and at T0 when new links are attached deterministically to the highest quality node of the network.}, author = {Ferretti, Luca and Bianconi, Ginestra}, citeulike-article-id = {5061000}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevE.78.056102}, citeulike-linkout-1 = {http://link.aps.org/doi/10.1103/PhysRevE.78.0561}, doi = {10.1103/PhysRevE.78.056102}, issn = {1539-3755}, journal = {Physical Review E}, keywords = {complex, condensation, dynamics, growing, networks, phenomena}, month = {November}, number = {5}, pages = {056102}, posted-at = {2009-07-05 06:06:38}, priority = {5}, title = {Dynamics of condensation in growing complex networks}, url = {http://dx.doi.org/10.1103/PhysRevE.78.056102}, volume = {78}, year = {2008} }

TY - JOUR ID - citeulike:5061000 L3 - citeulike-article-id:5061000 N2 - A condensation transition was predicted for growing technological networks evolving by preferential attachment and competing quality of their nodes, as described by the fitness model. When this condensation occurs, a node acquires a finite fraction of all the links of the network. Earlier studies based on steady-state degree distribution and on the mapping to Bose-Einstein condensation were able to identify the critical point. Here we characterize the dynamics of condensation and we present evidence that below the condensation temperature there is a slow down of the dynamics and that a single node (not necessarily the best node in the network) emerges as the winner for very long times. The characteristic time t* at which this phenomenon occurs diverges both at the critical point and at T0 when new links are attached deterministically to the highest quality node of the network. IS - 5 JF - Physical Review E SN - 1539-3755 EP - 056102 TI - Dynamics of condensation in growing complex networks VL - 78 SP - 056102 KW - complex KW - condensation KW - dynamics KW - growing KW - networks KW - phenomena AU - Ferretti, Luca AU - Bianconi, Ginestra PY - 2008/11// UR - http://dx.doi.org/10.1103/PhysRevE.78.056102 ER -