Автор |
Carmi, S. |
Автор |
Wu, Z. |
Автор |
Havlin, S. |
Автор |
Stanley, H. E. |
Дата выпуска |
2008-10-01 |
dc.description |
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<sup>*</sup> 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. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Копирайт |
Europhysics Letters Association |
Название |
Transport in networks with multiple sources and sinks |
Тип |
lett |
DOI |
10.1209/0295-5075/84/28005 |
Electronic ISSN |
1286-4854 |
Print ISSN |
0295-5075 |
Журнал |
EPL (Europhysics Letters) |
Том |
84 |
Первая страница |
28005 |
Последняя страница |
28010 |
Аффилиация |
Carmi, S.; Minerva Center and Department of Physics, Bar-Ilan University - Ramat Gan 52900, Israel; Center for Polymer Studies and Department of Physics, Boston University - Boston, MA 02215, USA |
Аффилиация |
Wu, Z.; Center for Polymer Studies and Department of Physics, Boston University - Boston, MA 02215, USA |
Аффилиация |
Havlin, S.; Minerva Center and Department of Physics, Bar-Ilan University - Ramat Gan 52900, Israel |
Аффилиация |
Stanley, H. E.; Center for Polymer Studies and Department of Physics, Boston University - Boston, MA 02215, USA |
Выпуск |
2 |