🍩 Database of Original & Non-Theoretical Uses of Topology

(found 2 matches in 0.001324s)

  1. Persistent Homology to Quantify the Quality of Surface-Supported Covalent Networks (2019)

    Abraham Gutierrez, Mickaël Buchet, Sylvain Clair
    Abstract Covalent networks formed by on-surface synthesis usually suffer from the presence of a large number of defects. We report on a methodology to characterize such two-dimensional networks from their experimental images obtained by scanning probe microscopy. The computation is based on a persistent homology approach and provides a quantitative score indicative of the network homogeneity. We compare our scoring method with results previously obtained using minimal spanning tree analyses and we apply it to some molecular systems appearing in the existing literature.

  2. Phase-Field Investigation of the Coarsening of Porous Structures by Surface Diffusion (2019)

    Pierre-Antoine Geslin, Mickaël Buchet, Takeshi Wada, Hidemi Kato
    Abstract Nano and microporous connected structures have attracted increasing attention in the past decades due to their high surface area, presenting interesting properties for a number of applications. These structures generally coarsen by surface diffusion, leading to an enlargement of the structure characteristic length scale. We propose to study this coarsening behavior using a phase-field model for surface diffusion. In addition to reproducing the expected scaling law, our simulations enable to investigate precisely the evolution of the topological and morphological characteristics along the coarsening process. In particular, we show that after a transient regime, the coarsening is self-similar as exhibited by the evolution of both morphological and topological features. In addition, the influence of surface anisotropy is discussed and comparisons with experimental tomographic observations are presented.