Topological analysis of tapped granular media using persistent homology

Autores: Ardanza-Trevijano Moras, Sergio; Zuriguel Ballaz, Iker; Arévalo, R.; Maza Ozcoidi, Diego
Título de la revista: PHYSICAL REVIEW E
ISSN: 1539-3755
Volumen: 89
Páginas: 052212
Fecha de publicación: 2014
We use the first Betti number of a complex to analyze the morphological structure of granular samples in mechanical equilibrium. We investigate two-dimensional granular packings after a tapping process by means of both simulations and experiments. States with equal packing fraction obtained with different tapping intensities are distinguished after the introduction of a filtration parameter which determines the particles (nodes in the network) that are joined by an edge. This is accomplished by just using the position of the particles obtained experimentally and no other information about the possible contacts, or magnitude of forces.