Transport, Geometrical and Topological Properties of Stealthy Disordered Hyperuniform Two-Phase Systems

Abstract

Disordered hyperuniform many-particle systems have attracted considerable recent attention. One important class of such systems is the classical ground states of "stealthy potentials." The degree of order of such ground states depends on a tuning parameter. Previous studies have shown that these ground-state point configurations can be counterintuitively disordered, infinitely degenerate, and endowed with novel physical properties (e.g., negative thermal expansion behavior). In this paper, we focus on the disordered regime in which there is no long-range order, and control the degree of short-range order. We map these stealthy disordered hyperuniform point configurations to two-phase media by circumscribing each point with a possibly overlapping sphere of a common radius $a$: the "particle" and "void" phases are taken to be the space interior and exterior to the spheres, respectively. We study certain transport properties of these systems, including the effective diffusion coefficient of point particles diffusing in the void phase as well as static and time-dependent characteristics associated with diffusion-controlled reactions. Besides these effective transport properties, we also investigate several related structural properties, including pore-size functions, quantizer error, an order metric, and percolation threshold. We show that these transport, geometrical and topological properties of our two-phase media derived from decorated stealthy ground states are distinctly different from those of equilibrium hard-sphere systems and spatially uncorrelated overlapping spheres.

References in corpus (9)

• Designer disordered materials with large complete photonic band gaps
• Hyperuniformity of critical absorbing states
• Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials
• Hyperuniformity and its Generalizations
• Hyperuniformity and phase separation in biased ensembles of trajectories for diffusive systems
• Ensemble Theory for Stealthy Hyperuniform Disordered Ground States
• Diagnosing hyperuniformity in two-dimensional disordered jammed-packings of soft spheres
• Collective Coordinate Control of Density Distributions
• Disordered Hyperuniform Heterogeneous Materials

Cited by in corpus (11)

• Designing Disordered Hyperuniform Two-Phase Materials with Novel Physical Properties
• New Tessellation-Based Procedure to Design Perfectly Hyperuniform Disordered Dispersions for Materials Discovery
• Disordered hyperuniformity in two-component non-additive hard disk plasmas
• Methodology to Construct Large Realizations of Perfectly Hyperuniform Disordered Packings
• Effective Elastic Wave Characteristics of Composite Media
• Disordered multihyperuniformity derived from binary plasmas
• Characterization of Maximally Random Jammed Sphere Packings. III. Transport and Electromagnetic Properties via Correlation Functions
• Extraordinary Optical and Transport Properties of Disordered Stealthy Hyperuniform Two-Phase Media
• A minimal statistical-mechanical model for multihyperuniform patterns in avian retina
• Quantum Phase Transitions in Long-Range Interacting Hyperuniform Spin Chains in a Transverse Field
• Understanding Degeneracy of Two-Point Correlation Functions via Debye Random Media