Space-Group Symmetries Generate Chaotic Fluid Advection in Crystalline Granular Media - Archive ouverte HAL Access content directly
Conference Papers Year : 2018

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

(1) , , (1) , (1)
1
Régis Turuban
  • Function : Author
  • PersonId : 769082
  • IdRef : 223508934
David R. Lester
  • Function : Author
Tanguy Le Borgne
Yves Méheust

Abstract

The classical connection between symmetry breaking and the onset of chaos in dynamical systems harks back to the seminal theory of Noether [Transp. Theory Statist. Phys. 1, 186 (1918)10.1080/00411457108231446]. We study the Lagrangian kinematics of steady 3D Stokes flow through simple cubic and body-centered cubic (bcc) crystalline lattices of close-packed spheres, and uncover an important exception. While 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.
Not file

Dates and versions

insu-02078874 , version 1 (25-03-2019)

Identifiers

  • HAL Id : insu-02078874 , version 1

Cite

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⟩
20 View
0 Download

Share

Gmail Facebook Twitter LinkedIn More