🍩 Database of Original & Non-Theoretical Uses of Topology

1. 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.

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   • Physics
   • Porous structures
   • Surface diffusion
   • 3D images
   • Betti numbers
   • Discretization
   • Euler characteristic
   • Homology