Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials

Abstract

Using a collective coordinate numerical optimization procedure, we construct ground-state configurations of interacting particle systems in various space dimensions so that the scattering of radiation exactly matches a prescribed pattern for a set of wave vectors. We show that the constructed ground states are, counterintuitively, disordered (i.e., possess no long-range order) in the infinite-volume limit. We focus on three classes of configurations with unique radiation scattering characteristics: (i)``stealth'' materials, which are transparent to incident radiation at certain wavelengths; (ii)``super-ideal'' gases, which scatter radiation identically to that of an ensemble of ideal gas configurations for a selected set of wave vectors; and (iii)``equi-luminous'' materials, which scatter radiation equally intensely for a selected set of wave vectors. We find that ground-state configurations have an increased tendency to contain clusters of particles as one increases the prescribed luminosity. Limitations and consequences of this procedure are detailed.

44 pages, 16 figures, revtek4

References in corpus (6)

• Modeling Heterogeneous Materials via Two-Point Correlation Functions: I. Basic Principles
• Modeling Heterogeneous Materials via Two-Point Correlation Functions: II. Algorithmic Details and Applications
• Collective Coordinate Control of Density Distributions
• Crystalline ground states for classical particles
• New Duality Relations for Classical Ground States
• Ultratransparent glass-ceramics: the structure factor and the quenching of the Rayleigh scattering

Cited by in corpus (37)

• Designer disordered materials with large complete photonic band gaps
• Hyperuniformity and its Generalizations
• Ensemble Theory for Stealthy Hyperuniform Disordered Ground States
• Diagnosing hyperuniformity in two-dimensional disordered jammed-packings of soft spheres
• Transport, Geometrical and Topological Properties of Stealthy Disordered Hyperuniform Two-Phase Systems
• Hyperuniformity of Quasicrystals
• Random Scalar Fields and Hyperuniformity
• Disordered Hyperuniform Heterogeneous Materials
• The Perfect Glass Paradigm: Disordered Hyperuniform Glasses Down to Absolute Zero
• Equilibrium Phase Behavior and Maximally Random Jammed State of Truncated Tetrahedra
• Stealth acoustic materials
• High-Q Optical Cavities in Hyperuniform Disordered Materials
• Effective Electromagnetic Wave Properties of Disordered Stealthy Hyperuniform Layered Media Beyond the Quasistatic Regime
• Sub-diffusive wave transport and weak localization transition in three-dimensional stealthy hyperuniform disordered systems
• Methodology to Construct Large Realizations of Perfectly Hyperuniform Disordered Packings
• Unidirectional scattering with spatial homogeneity using photonic time disorder
• Effective Elastic Wave Characteristics of Composite Media
• Theoretical Prediction of the Effective Dynamic Dielectric Constant of Disordered Hyperuniform Anisotropic Composites Beyond the Long-Wavelength Regime
• Near-field imaging of optical nano-cavities in Hyperuniform disordered materials
• Generating large disordered stealthy hyperuniform systems with ultra-high accuracy to determine their physical properties
• Classical many-particle systems with unique disordered ground states
• Realizable hyperuniform and nonhyperuniform particle configurations with targeted spectral functions via effective pair interactions
• Stealthy and hyperuniform isotropic photonic bandgap structure in 3D
• Anomalous suppression of large-scale density fluctuations in classical and quantum spin liquids
• Experimental characterization of rigid scatterer hyperuniform distributions for audible acoustics
• Local order metrics for many-particle systems across length scales
• How does a hyperuniform fluid freeze?
• Dynamical properties of particulate composites derived from ultradense stealthy hyperuniform sphere packings
• Existence of Nonequilibrium Glasses in the Degenerate Stealthy Hyperuniform Ground-State Manifold
• Heterogeneous networks for phase-sensitive engineering of optical disordered materials
• Correlations in interacting electron liquids: Many-body statistics and hyperuniformity
• Effective delocalization in the one-dimensional Anderson model with stealthy disorder
• Hyperuniformity of Weighted Particle Systems
• Quantum Phase Transitions in Long-Range Interacting Hyperuniform Spin Chains in a Transverse Field
• Comment on "Explicit Analytical Solution for Random Close Packing in $d=2$ and $d=3$"
• Predictive Formulas for Scattering Mean Free Path for General Disordered Dielectric Media Beyond the Long-Wavelength Regime
• Impact of Stealthy Hyperuniform Magnetic Impurity Configurations on Bulk Magnetism in a Two-dimensional Heisenberg Model