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Anomalous local coordination, density fluctuations, and void statistics in disordered hyperuniform many-particle
Chase E Zachary1, Salvatore Torquato
1Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA. czachary@princeton.edu
We numerically construct one-dimensional hyperuniform systems with unique clustering. These systems show density fluctuations that grow slower than volume but faster than surface area, revealing new insights into disordered ground states.
Area of Science:
- Physics
- Materials Science
- Statistical Mechanics
Background:
- Hyperuniformity quantifies global order in many-particle systems.
- It indicates an "inverted" critical point with long-range correlations.
- Understanding hyperuniformity is key for designing materials with specific properties.
Purpose of the Study:
- To numerically construct one-dimensional hyperuniform systems.
- To investigate unusual clustering and density fluctuations.
- To explore the relationship between constraints and phase transitions.
Main Methods:
- Targeting specific structure factors (S(k)~k(α)) using collective density variables.
- Simulating many-particle systems with up to four-body interactions.
- Analyzing the effect of weak and strong constraints on system degrees of freedom.
Main Results:
- Demonstrated construction of disordered hyperuniform ground states with significant clustering.
- Established an analytical link between constrained degrees of freedom and disorder-order phase transitions.
- Related local coordination structure to void space distribution.
Conclusions:
- Disordered hyperuniform systems with clustering can be constructed in one dimension.
- Geometrical constraints are intimately linked to structural regularity.
- Findings have implications for higher-dimensional systems and jammed packings.
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