Institut für Biophysik, Universität Bremen, Germany.
Phys Rev Lett. 2012 Aug 17;109(7):078103. doi: 10.1103/PhysRevLett.109.078103. Epub 2012 Aug 16.
We study the formation of transportation networks of the true slime mold Physarum polycephalum after fragmentation by shear. Small fragments, called microplasmodia, fuse to form macroplasmodia in a percolation transition. At this topological phase transition, one single giant component forms, connecting most of the previously isolated microplasmodia. Employing the configuration model of graph theory for small link degree, we have found analytically an exact solution for the phase transition. It is generally applicable to percolation as seen, e.g., in vascular networks.
我们研究了真黏菌 Physarum polycephalum 在剪切作用下碎裂后形成的运输网络。小碎片，称为微变形体，在渗流转变中融合形成大变形体。在这个拓扑相变中，形成了一个单一的巨型组件，连接了之前大部分隔离的微变形体。我们运用图论的配置模型来研究小连接度，对相变进行了精确的解析求解。它通常适用于血管网络等可见的渗流现象。
