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Ground states of stealthy hyperuniform potentials. II. Stacked-slider phases.
G Zhang1, F H Stillinger1, S Torquato2
1Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 19, 2015
Summary
Stealthy potentials exhibit unique stacked-slider phases, a novel state of matter. These phases, though metastable, display long-range orientational order and are distinguishable from crystalline structures.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Materials Science
Background:
- Stealthy potentials generate diverse ground states, including disordered and crystalline structures, depending on density and dimension.
- Previous work explored entropically favored ground states in the canonical ensemble at zero temperature.
Purpose of the Study:
- To investigate metastable stacked-slider phases within the ground-state manifold of stealthy potentials.
- To develop analytical models for stacked-slider phases in various dimensions and analyze their properties.
Main Methods:
- Employed a combination of numerical simulations and theoretical techniques.
- Developed analytical models for stacked-slider phases in 2, 3, and higher dimensions.
- Calculated the pair correlation function and structure factor for 2D stacked-slider phases.
Main Results:
- Identified and modeled stacked-slider phases as metastable states.
- Determined that the feasible region for stacked-slider phases is smaller than for crystal structures in the infinite-system-size limit.
- Characterized stacked-slider phases as nonperiodic, statistically anisotropic structures with long-range orientational order and zero shear modulus.
Conclusions:
- Stacked-slider phases represent a distinct state of matter.
- These phases are a crucial component of the stealthy potential ground-state manifold.
- Further research is needed to fully understand the properties and implications of these unusual structures.
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