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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
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