Skip to Main content Skip to Navigation
Conference papers

Space-Group Symmetries Generate Chaotic Fluid Advection in Crystalline Granular Media

Abstract : The classical connection between symmetry breaking and the onset of chaos in dynamical systems harks back to the seminal theory of Noether [Math. Phys. Klas. 235, 1918]. We study the Lagrangian kinematics of steady 3D Stokes flow through simple cubic (SC) and body-centered cubic (BCC) crystalline lattices of close-packed spheres, and uncover an important exception. Whilst breaking of point-group symmetries is a necessary condition for chaotic mixing in both lattices, a further space-group (glide) symmetry of the BCC lattice, generates a transition from globally regular to globally chaotic dynamics. This finding provides new insights into chaotic mixing in porous media and has significant implications for understanding the impact of symmetries upon generic dynamical systems.
Complete list of metadatas

https://hal-insu.archives-ouvertes.fr/insu-02078874
Contributor : Isabelle Dubigeon <>
Submitted on : Monday, March 25, 2019 - 4:37:10 PM
Last modification on : Friday, April 5, 2019 - 8:18:08 PM

Identifiers

  • HAL Id : insu-02078874, version 1

Citation

Régis Turuban, David R. Lester, Tanguy Le Borgne, Yves Méheust. Space-Group Symmetries Generate Chaotic Fluid Advection in Crystalline Granular Media. Computer Methods in Water Resources (CMWR) 2018, Jun 2018, Saint-Malo, France. pp.Abstract 254. ⟨insu-02078874⟩

Share

Metrics

Record views

31