Transport in networks with multiple sources and sinks

@misc{carmi08, abstract = {We study the electrical current and flow (number of parallel paths) between two sets of n sources and n sinks in complex networks. We derive analytical formulas for the change in current and flow as a function of n. We show that for small n, increasing n improves the total transport in the network, while for large n bottlenecks begin to form. For the case of flow, this leads to an optimal n* above which the transport is less efficient. For current, the typical decrease in the length of the connecting paths for large n compensates for the effect of the bottlenecks. Finally we show that for the common case where the transport takes place between specific pairs of sources and sinks, a percolation approach can be applied to calculate the total flow and predict the number of sources/sinks above which the network saturates and can carry no more flow.}, author = {Carmi, Shai and Wu, Zhenhua and Havlin, Shlomo and Stanley, Eugene H. }, citeulike-article-id = {2795082}, eprint = {0805.1567}, keywords = {dynamics, network}, month = {May}, posted-at = {2008-05-13 14:57:03}, priority = {1}, title = {Transport in networks with multiple sources and sinks}, url = {http://arxiv.org/abs/0805.1567}, year = {2008} }

TY - ELEC ID - carmi08 L3 - citeulike-article-id:2795082 TI - Transport in networks with multiple sources and sinks N2 - We study the electrical current and flow (number of parallel paths) between two sets of n sources and n sinks in complex networks. We derive analytical formulas for the change in current and flow as a function of n. We show that for small n, increasing n improves the total transport in the network, while for large n bottlenecks begin to form. For the case of flow, this leads to an optimal n* above which the transport is less efficient. For current, the typical decrease in the length of the connecting paths for large n compensates for the effect of the bottlenecks. Finally we show that for the common case where the transport takes place between specific pairs of sources and sinks, a percolation approach can be applied to calculate the total flow and predict the number of sources/sinks above which the network saturates and can carry no more flow. KW - dynamics KW - network AU - Carmi, Shai AU - Wu, Zhenhua AU - Havlin, Shlomo AU - Stanley, Eugene PY - 2008/May/12/ UR - http://arxiv.org/abs/0805.1567 ER -