TY - JOUR
T1 - Physarum polycephalum percolation as a paradigm for topological phase transitions in transportation networks
AU - Fessel, Adrian
AU - Oettmeier, Christina
AU - Bernitt, Erik
AU - Gauthier, Nils C.
AU - Döbereiner, Hans Günther
PY - 2012/8/16
Y1 - 2012/8/16
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84865227626&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.109.078103
DO - 10.1103/PhysRevLett.109.078103
M3 - Article
AN - SCOPUS:84865227626
SN - 0031-9007
VL - 109
JO - Physical Review Letters
JF - Physical Review Letters
IS - 7
M1 - 078103
ER -