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Evolution of various initial many-particle configurations to disordered stealthy hyperuniform ground states
Samuel J Dawley1, Salvatore Torquato1,2,3,4
1Princeton University, Department of Chemistry, Princeton, New Jersey 08544, USA.
Disordered hyperuniform systems, featuring unique optical and mechanical properties, evolve towards ground states influenced by initial configurations. Hyperuniform initial states accelerate this evolution, enabling tailored material properties.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Statistical Mechanics
Background:
- Stealthy potentials generate disordered hyperuniform ground states with unique properties.
- Ground-state properties depend on configurational dimensionality, controlled by parameter χ.
- Understanding the evolution to these states is key for materials discovery.
Purpose of the Study:
- Investigate the evolution of particle systems towards disordered stealthy hyperuniform ground states.
- Analyze the influence of initial configurations and the parameter χ on this evolution.
- Explore methods to target specific ground states for materials design.
Main Methods:
- Simulated collective-coordinate optimization for 2D point configurations.
- Studied evolution across a range of initial states (hyperuniform, antihyperuniform, nonhyperuniform).
- Quantified trajectory evolution using translational order and configurational proximity metrics.
Main Results:
- Evolution rate to ground states is fastest from hyperuniform and slowest from antihyperuniform initial conditions.
- Ground-state pair statistics depend on initial conditions and parameter χ.
- Higher-order spatial correlations in initial states influence pair statistics.
Conclusions:
- Initial conditions significantly impact the sampling of ground-state ensembles.
- Manipulating initial conditions allows targeting specific stealthy hyperuniform ground states.
- This provides a pathway to discover novel materials with designed spatial correlations.
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