Transport in networks with multiple sources and sinks

被引：28

作者：

Carmi, S. ^{[1
,2
,3
,4
]}

Wu, Z. ^{[3
,4
]}

Havlin, S. ^{[1
,2
]}

Stanley, H. E. ^{[3
,4
]}

机构：

[1] Bar Ilan Univ, Minerva Ctr, IL-52900 Ramat Gan, Israel

[2] Bar Ilan Univ, Dept Phys, IL-52900 Ramat Gan, Israel

[3] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA

[4] Boston Univ, Dept Phys, Boston, MA 02215 USA

来源：

EPL | 2008年 / 84卷 / 02期

关键词：

D O I：

10.1209/0295-5075/84/28005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. Copyright (c) EPLA, 2008

引用

页数：6

共 26 条

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