Reversible to irreversible transitions for cyclically driven particles on periodic obstacle arrays
Abstract
We examine the collective dynamics of disks moving through a square array of obstacles under cyclic square wave driving. Below a critical density, we find that the system organizes into a reversible state in which the disks return to the same positions at the end of every drive cycle. Above this density, the dynamics are irreversible and the disks do not return to the same positions after each cycle. The critical density depends strongly on the angle θ between the driving direction and a symmetry axis of the obstacle array, with the highest critical densities appearing at commensurate angles such as θ = 0° and θ = 45° and the lowest critical densities falling at θ = arctan (0.618), the inverse of the golden ratio, where the flow is the most degenerate. As the density increases, the number of cycles required to reach a reversible state grows as a power law with an exponent near ν = 1.36, similar to what is found in periodically driven colloidal and superconducting vortex systems.
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 2335745
- Alternate Identifier(s):
- OSTI ID: 1856051
- Report Number(s):
- LA-UR-22-21187
Journal ID: ISSN 0021-9606
- Grant/Contract Number:
- 89233218CNA000001; AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 156; Journal Issue: 12; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; colloidal systems; granular materials; statistical mechanics; nonequilibrium statistical mechanics
Citation Formats
Reichhardt, Charles, and Reichhardt, Cynthia Jane Olson. Reversible to irreversible transitions for cyclically driven particles on periodic obstacle arrays. United States: N. p., 2022.
Web. doi:10.1063/5.0087916.
Reichhardt, Charles, & Reichhardt, Cynthia Jane Olson. Reversible to irreversible transitions for cyclically driven particles on periodic obstacle arrays. United States. https://doi.org/10.1063/5.0087916
Reichhardt, Charles, and Reichhardt, Cynthia Jane Olson. Tue .
"Reversible to irreversible transitions for cyclically driven particles on periodic obstacle arrays". United States. https://doi.org/10.1063/5.0087916. https://www.osti.gov/servlets/purl/2335745.
@article{osti_2335745,
title = {Reversible to irreversible transitions for cyclically driven particles on periodic obstacle arrays},
author = {Reichhardt, Charles and Reichhardt, Cynthia Jane Olson},
abstractNote = {We examine the collective dynamics of disks moving through a square array of obstacles under cyclic square wave driving. Below a critical density, we find that the system organizes into a reversible state in which the disks return to the same positions at the end of every drive cycle. Above this density, the dynamics are irreversible and the disks do not return to the same positions after each cycle. The critical density depends strongly on the angle θ between the driving direction and a symmetry axis of the obstacle array, with the highest critical densities appearing at commensurate angles such as θ = 0° and θ = 45° and the lowest critical densities falling at θ = arctan (0.618), the inverse of the golden ratio, where the flow is the most degenerate. As the density increases, the number of cycles required to reach a reversible state grows as a power law with an exponent near ν = 1.36, similar to what is found in periodically driven colloidal and superconducting vortex systems.},
doi = {10.1063/5.0087916},
journal = {Journal of Chemical Physics},
number = 12,
volume = 156,
place = {United States},
year = {Tue Mar 22 00:00:00 EDT 2022},
month = {Tue Mar 22 00:00:00 EDT 2022}
}
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