TDA on Granular Packing
When we pack many beads into a container, the densities and the configurations are different depending on whether or not we shake the container afterwards. We are studying granular packings from geometric viewpoints by applying TDA into experimental data and MD (molecular dynamics) simulations.
literature
- M. Saadatfar, H. Takeuchi, V. Robins, N. Francois, and Y. Hiraoka. Pore configuration landscape of granular crystallisation. Nature Communications 8, Article number: 15082 (2017), doi:10.1038/ncomms15082. https://www.nature.com/articles/ncomms15082
Example Persistence Diagram for a Granular Packing