Mathematics
Random Medium
84%
Volume Fraction
71%
Lattices
67%
Statistics
61%
Matrix (Mathematics)
51%
Structure Factor
51%
Hard Spheres
48%
Distribution Function
45%
Transport Property
44%
Probability Function
43%
Length Scale
43%
Continuum Percolation
42%
Ground State
40%
Many-Particle System
40%
Dimensional Euclidean Space
39%
Effective Property
38%
Space Dimension
38%
Effective Conductivity
38%
Metric Order
36%
Nearest Neighbor
33%
Wide Range
33%
Survival Time
31%
Three-Dimension
27%
Spectral Density
26%
Upper Bound
26%
Lower and upper bounds
25%
Range Order
23%
relaxation time τ
22%
Density Expansion
22%
Pair Correlation Function
21%
Power Law
18%
Approximates
18%
Probability Theory
18%
Platonic Solid
17%
Two Dimensions
17%
Point Process
17%
Ellipsoid
17%
Pair Potential
16%
Archimedean Solid
16%
Polyhedron
15%
Local Density
14%
Tensor
14%
Isomorphism Class
14%
Euclidean Space
13%
Rate Constant
13%
Hypersphere
12%
Brownian Motion
12%
Tetrahedron
12%
Variance
12%
Discrete Geometry
11%
Wave Number
11%
Eigenvalue
11%
Cube
11%
Closed Form
11%
Statistical Mechanics
11%
Aspect-Ratio
10%
Exact Result
10%
Phase System
10%
Higher Dimensions
10%
Brownian Particle
10%
Series Representation
10%
Hypercube
10%
Biological System
10%
Contact Number
10%
Probability Density Function
10%
Duality Relation
10%
Approximant
10%
Contrast Expansion
9%
Number Density
9%
Landau Level
9%
Statistical Property
9%
Information Content
9%
Numerical Simulation
9%
Linear Programming
9%
Wide Class
9%
Equilibrium State
9%
Prime Number
8%
Stillinger
8%
Octahedron
8%
Asymptotics
8%
Scaling Relation
8%
Equilibrium Ensemble
8%
Execution Time
8%
Spheroid
8%
Timescale
8%
Selected Value
8%
System Size
8%
Dense Set
8%
Parameter Deformation
8%
Degree of Freedom
7%
Minimal Surface
7%
Illuminates
7%
Pair Distribution Function
7%
Coarseness
7%
Structural Property
7%
Dimensional System
7%
Line Segment
7%
Rotational Symmetry
7%
Starting Point
7%
Open Question
7%
Keyphrases
Hyperuniform
55%
Hyperuniformity
39%
Microstructure
38%
Volume Fraction
33%
Disordered Photonics
32%
Hyperuniform Disordered
32%
Sphere Packing
29%
Photonic Bandgap Materials
26%
Porous Media
25%
Dense Packing
25%
Hard Spheres
24%
Hard Particles
23%
Many-particle Systems
23%
Composite Medium
23%
Continuum Percolation
23%
Physical Review
23%
Order Metrics
22%
Pair Potential
22%
Probability Function
22%
Hard Disk Drive
21%
Effective Conductivity
21%
Two-phase Random Media
21%
Composite Materials
20%
Effective Properties
20%
Pair Correlation Function
20%
Particle Packing
19%
Fluid Permeability
19%
Percolation Model
19%
Archimedean Solids
19%
Two Dimensional
19%
Random Media
18%
Random Close Packing
18%
Structure Factor
18%
Correlation Function
18%
Packing Fraction
17%
Density Fluctuations
17%
Quasicrystals
16%
Platonic Solids
16%
Rigorous Bounds
15%
Computer Simulation Results
15%
Percolation Threshold
14%
Brownian Particle
14%
Two-point
14%
Photonic Band Gap
14%
Euclidean Space
14%
Order Bound
14%
Optimal Packing
14%
Nearest Neighbour Statistics
14%
Elastic Modulus
14%
Superballs
14%
Waveguide
14%
Bulk Modulus
14%
Hard-sphere System
14%
Two-phase Composite
14%
Soft Matter Physics
14%
Pair Interaction
12%
Jammed State
12%
Heterogeneous Media
12%
Disordered Media
11%
Exact Expression
11%
Thermodynamics
11%
Physical Properties
11%
Self-assembly
10%
Third Order
10%
Duality Relation
10%
Phase Properties
10%
Disk Packing
10%
Mechanical Properties
10%
Isotropic Composites
10%
Effective Bulk Modulus
9%
Assembly Application
9%
Random Arrays of Spheres
9%
Non-crystalline Materials
9%
Random Array
9%
Cracked Media
9%
Low Coordination
9%
Vacancy Concentration
9%
Series Expansion
9%
Distribution Function
9%
Cross-property Bounds
9%
Transport in Porous Media
9%
Effective Electrical Conductivity
9%
Submicron Scale
9%
Effective Modulus
9%
Void Space
9%
Mean Cluster Size
9%
Isomorphism Class
9%
Local Isomorphism
9%
Circular Disk
9%
Local Order
9%
Inverse Design
8%
High Density
8%
Nearest Neighbour Function
8%
Long Wavelength
8%
Soft Matter Systems
8%
Property Values
8%
Microgeometry
8%
Cross-property Relation
8%
Point Probability
8%
Bulk Properties
8%
Engineering
Microstructure
100%
Two Dimensional
51%
Fluid Permeability
43%
Bulk Modulus
39%
Bulk Property
39%
Ground State
37%
Pair Potential
35%
Effective Property
35%
Disordered Phase
35%
Young's Modulus
33%
Shear Modulus
31%
Anisotropic
31%
Length Scale
29%
Probability Function
28%
Two-Point Correlation Function
24%
Dielectrics
21%
Percolation Threshold
21%
Simulation Technique
20%
Conductivity Ratio
20%
Electrical Conductivity
19%
Energy Gap
18%
Expansion Coefficient
18%
Hard Disk
18%
Interaction Potential
17%
Execution Time
16%
Simulation Result
16%
Number Density
16%
Photonic Band
15%
Optimization Method
15%
Photonics
15%
Nearest Neighbor
14%
Exact Expression
14%
Iso
14%
Property Value
13%
Optimization Technique
12%
Motion Simulation
11%
Penetrability
11%
Hard Particle
11%
Colloid
11%
Metrics
11%
Porosity
11%
Good Agreement
11%
Density Expansion
10%
Diamond
10%
Sphere Model
10%
Stiffness Tensor
10%
Space Dimension
10%
Effective Thermal Conductivity
10%
Formation Factor
10%
Dimensional Euclidean Space
9%
Energy Engineering
9%
Statistical Distribution
9%
Modulus of Shear
9%
Phase Contrast
9%
Rate Constant
9%
Orthogonality
9%
Line Segment
9%
Target Structure
9%
Geometric Constraint
9%
Survival Time
9%
Integrand
9%
Fourth Order
9%
Effective Energy
9%
Pair Distribution
9%
Nonnegativity
9%
Pore Space
9%
Composite Material
8%
Dimensionality
8%
Diffusion Coefficient
8%
Matrix Phase
8%
Contrast Ratio
8%
Wave Number
7%
Macroscopic Property
7%
Density Fluctuation
7%
Perturbation Expansion
7%
Extremal
7%
Size System
7%
Fibre-Reinforced Material
7%
Conductivity Tensor
7%
Inverse Design
7%
Spin Configuration
7%
One Dimensional
7%
Aspect Ratio
7%
Point Distribution
7%
Range Order
7%
Solid Transition
7%
Radial Distribution
7%
Limiting Case
6%
Free Volume
6%
Truncation
6%
Step Function
6%
Chord Length
6%
Obtained Expression
6%
Directional
6%
Intermediate Value
6%
Thermal Conductivity
6%
Shell Model
6%
Epoxy Matrix
6%
Poisson Ratio
6%
Packing Density
6%
