Space-Group Symmetries Generate Chaotic Fluid Advection in Crystalline Granular Media - Archive ouverte HAL Access content directly
Journal Articles Physical Review Letters Year : 2018

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

(1) , (2) , (1) , (1)
1
2
Régis Turuban
  • Function : Author
  • PersonId : 769082
  • IdRef : 223508934
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.
Fichier principal
Vignette du fichier
PhysRevLett.120.024501.pdf (2.18 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

insu-01683973 , version 1 (16-12-2019)

Identifiers

Cite

Régis Turuban, D.R. Lester, Tanguy Le Borgne, Yves Méheust. Space-Group Symmetries Generate Chaotic Fluid Advection in Crystalline Granular Media. Physical Review Letters, 2018, 120 (2), pp.024501. ⟨10.1103/PhysRevLett.120.024501⟩. ⟨insu-01683973⟩
54 View
161 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More