Journal articles
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 [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.
Cited literature [40 references]
https://hal-insu.archives-ouvertes.fr/insu-01683973
Contributor : Isabelle Dubigeon <>
Submitted on : Monday, December 16, 2019 - 10:03:49 AM
Last modification on : Thursday, January 14, 2021 - 11:46:52 AM
Long-term archiving on: : Tuesday, March 17, 2020 - 2:42:49 PM
Contributor : Isabelle Dubigeon <>
Submitted on : Monday, December 16, 2019 - 10:03:49 AM
Last modification on : Thursday, January 14, 2021 - 11:46:52 AM
Long-term archiving on: : Tuesday, March 17, 2020 - 2:42:49 PM
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PhysRevLett.120.024501.pdf
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