Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevLett.109.078103
Title: Physarum polycephalum percolation as a paradigm for topological phase transitions in transportation networks
Authors: Fessel, A.
Oettmeier, C.
Bernitt, E.
Gauthier, N.C. 
Döbereiner, H.-G.
Issue Date: 16-Aug-2012
Citation: Fessel, A., Oettmeier, C., Bernitt, E., Gauthier, N.C., Döbereiner, H.-G. (2012-08-16). Physarum polycephalum percolation as a paradigm for topological phase transitions in transportation networks. Physical Review Letters 109 (7) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevLett.109.078103
Abstract: 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. © 2012 American Physical Society.
Source Title: Physical Review Letters
URI: http://scholarbank.nus.edu.sg/handle/10635/128535
ISSN: 00319007
DOI: 10.1103/PhysRevLett.109.078103
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