Complex networks from space-filling bearings.

Autor: Kranz JJ; Computational Physics for Engineering Materials, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093 Zurich, Switzerland.; Theoretical Chemical Biology, Institute of Physical Chemistry, Karlsruhe Institute of Technology, Kaiserstrasse 12, D-76131 Karlsruhe, Germany., Araújo NA; Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, P-1749-016 Lisboa, Portugal.; Centro de Física Teórica e Computacional, Universidade de Lisboa, P-1749-016 Lisboa, Portugal., Andrade JS Jr; Computational Physics for Engineering Materials, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093 Zurich, Switzerland.; Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Ceará, Brazil., Herrmann HJ; Computational Physics for Engineering Materials, IfB, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093 Zurich, Switzerland.; Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Ceará, Brazil.
Jazyk: angličtina
Zdroj: Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2015 Jul; Vol. 92 (1), pp. 012802. Date of Electronic Publication: 2015 Jul 06.
DOI: 10.1103/PhysRevE.92.012802
Abstrakt: Two-dimensional space-filling bearings are dense packings of disks that can rotate without slip. We consider the entire first family of bearings for loops of four disks and propose a hierarchical construction of their contact network. We provide analytic expressions for the clustering coefficient and degree distribution, revealing bipartite scale-free behavior with a tunable degree exponent depending on the bearing parameters. We also analyze their average shortest path and percolation properties.
Databáze: MEDLINE