Volume 84, Number 2, October 2008
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||14 October 2008|
Transport in networks with multiple sources and sinks
Minerva Center and Department of Physics, Bar-Ilan University - Ramat Gan 52900, Israel
2 Center for Polymer Studies and Department of Physics, Boston University - Boston, MA 02215, USA
Corresponding author: email@example.com
Accepted: 9 September 2008
We investigate 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 average 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. We also derive an expression for the average flow as a function of n under the common limitation that transport takes place between specific pairs of sources and sinks.
PACS: 89.75.Hc – Networks and genealogical trees / 05.60.Cd – Classical transport / 02.50.-r – Probability theory, stochastic processes, and statistics
© EPLA, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.