Mathematics
Approximant
10%
Approximates
18%
Archimedean Solid
16%
Aspect-Ratio
10%
Asymptotics
8%
Biological System
10%
Brownian Motion
12%
Brownian Particle
10%
Closed Form
11%
Coarseness
7%
Contact Number
10%
Continuum Percolation
42%
Contrast Expansion
9%
Cube
11%
Degree of Freedom
7%
Dense Set
8%
Density Expansion
22%
Dimensional Euclidean Space
35%
Dimensional System
7%
Discrete Geometry
11%
Distribution Function
45%
Duality Relation
10%
Effective Conductivity
38%
Effective Property
38%
Eigenvalue
9%
Ellipsoid
17%
Equilibrium Ensemble
8%
Equilibrium State
9%
Euclidean Space
13%
Exact Result
10%
Execution Time
8%
Ground State
40%
Hard Spheres
43%
Higher Dimensions
8%
Hypercube
10%
Hypersphere
12%
Illuminates
7%
Information Content
9%
Isomorphism Class
9%
Landau Level
9%
Lattices
61%
Length Scale
39%
Line Segment
7%
Linear Programming
9%
Local Density
14%
Lower and upper bounds
25%
Many-Particle System
35%
Matrix (Mathematics)
51%
Metric Order
32%
Minimal Surface
7%
Nearest Neighbor
33%
Number Density
9%
Numerical Simulation
9%
Octahedron
8%
Open Question
7%
Pair Correlation Function
19%
Pair Distribution Function
7%
Pair Potential
11%
Parameter Deformation
8%
Phase System
10%
Platonic Solid
17%
Point Process
16%
Polyhedron
15%
Power Law
18%
Prime Number
8%
Probability Density Function
10%
Probability Function
43%
Probability Theory
18%
Proposition
7%
Random Medium
84%
Range Order
22%
Rate Constant
13%
relaxation time τ
22%
Rotational Symmetry
7%
Scaling Relation
8%
Selected Value
8%
Series Representation
10%
Space Dimension
34%
Spectral Density
26%
Spheroid
8%
Starting Point
7%
Statistical Mechanics
11%
Statistical Property
9%
Statistics
61%
Stillinger
8%
Structure Factor
50%
Survival Time
31%
System Size
8%
Tensor
14%
Tetrahedron
12%
Three-Dimension
27%
Timescale
8%
Transport Property
44%
Two Dimensions
15%
Upper Bound
26%
Variance
8%
Volume Fraction
71%
Wave Number
11%
Wide Class
9%
Wide Range
33%
Keyphrases
Archimedean Solids
19%
Assembly Application
9%
Brownian Particle
14%
Bulk Modulus
14%
Bulk Properties
8%
Composite Materials
20%
Composite Medium
23%
Computer Simulation Results
15%
Continuum Percolation
23%
Correlation Function
17%
Cracked Media
9%
Cross-property Bounds
9%
Cross-property Relation
8%
Dense Packing
25%
Density Fluctuations
11%
Dielectric Constant
8%
Disordered Media
11%
Disordered Photonics
32%
Distribution Function
9%
Duality Relation
10%
Effective Bulk Modulus
9%
Effective Conductivity
21%
Effective Electrical Conductivity
9%
Effective Modulus
9%
Effective Properties
20%
Elastic Modulus
14%
Euclidean Space
13%
Exact Expression
11%
Fluid Permeability
19%
Hard Disk Drive
21%
Hard Particles
23%
Hard Spheres
24%
Hard-sphere System
14%
Heterogeneous Media
10%
High Density
8%
Hyperuniform
44%
Hyperuniform Disordered
32%
Hyperuniformity
24%
Interaction Potential
8%
Isotropic Composites
10%
Jammed State
11%
Long Wavelength
8%
Low Coordination
9%
Low Porosity
7%
Many-particle Systems
19%
Mean Cluster Size
9%
Mechanical Properties
9%
Microgeometry
8%
Microstructure
38%
Nearest Neighbour Function
8%
Nearest Neighbour Statistics
14%
Non-crystalline Materials
9%
Optimal Packing
14%
Order Bound
14%
Order Metrics
17%
Packing Fraction
17%
Pair Correlation Function
20%
Pair Interaction
12%
Pair Potential
22%
Particle Packing
19%
Percolation Model
19%
Percolation Threshold
14%
Phase Properties
10%
Photonic Band Gap
14%
Photonic Bandgap Materials
26%
Physical Properties
9%
Physical Review
23%
Platonic Solids
16%
Point Probability
8%
Porous Media
25%
Probability Function
22%
Property Values
8%
Quasicrystals
11%
Random Array
9%
Random Arrays of Spheres
9%
Random Close Packing
18%
Random Media
18%
Rigorous Bounds
15%
Self-assembly
10%
Series Expansion
9%
Simulation Techniques
7%
Soft Matter Physics
14%
Soft Matter Systems
8%
Sphere Packing
29%
Structure Factor
16%
Submicron Scale
9%
Superballs
14%
Thermodynamics
11%
Third Order
10%
Transport in Porous Media
9%
Two Dimensional
13%
Two-phase Composite
14%
Two-phase Medium
7%
Two-phase Random Media
21%
Two-point
14%
Two-point Correlation Function
7%
Vacancy Concentration
9%
Void Space
9%
Volume Fraction
30%
Waveguide
14%
Engineering
Anisotropic
31%
Aspect Ratio
7%
Bulk Modulus
39%
Bulk Property
39%
Chord Length
6%
Colloid
11%
Composite Material
8%
Conductivity Ratio
20%
Conductivity Tensor
7%
Contrast Ratio
8%
Density Expansion
10%
Density Fluctuation
7%
Diamond
10%
Dielectrics
21%
Diffusion Coefficient
8%
Dimensional Euclidean Space
7%
Dimensionality
8%
Directional
6%
Disordered Phase
35%
Effective Energy
9%
Effective Property
35%
Effective Thermal Conductivity
10%
Electrical Conductivity
19%
Energy Engineering
9%
Energy Gap
18%
Epoxy Matrix
6%
Exact Expression
14%
Execution Time
16%
Expansion Coefficient
18%
Extremal
7%
Fibre-Reinforced Material
7%
Fluid Permeability
43%
Formation Factor
10%
Fourth Order
9%
Free Volume
6%
Functionally Graded Material
6%
Geometric Constraint
9%
Good Agreement
11%
Ground State
37%
Hard Disk
18%
Hard Particle
11%
Integrand
9%
Interaction Potential
17%
Intermediate Value
6%
Inverse Design
7%
Iso
14%
Length Scale
29%
Limiting Case
6%
Line Segment
9%
Macroscopic Property
7%
Matrix Phase
8%
Metrics
11%
Microstructure
100%
Modulus of Shear
9%
Motion Simulation
11%
Nearest Neighbor
14%
Nonnegativity
9%
Number Density
16%
Obtained Expression
6%
One Dimensional
7%
Optimization Method
15%
Optimization Technique
12%
Orthogonality
9%
Packing Density
6%
Pair Distribution
9%
Pair Potential
31%
Penetrability
11%
Percolation Threshold
21%
Perturbation Expansion
7%
Phase Contrast
9%
Photonic Band
15%
Photonics
15%
Point Distribution
7%
Poisson Ratio
6%
Pore Space
9%
Porosity
11%
Probability Function
28%
Property Value
13%
Range Order
7%
Rate Constant
9%
Shear Modulus
31%
Shell Model
6%
Simulation Result
16%
Simulation Technique
20%
Size System
7%
Solid Transition
7%
Space Dimension
8%
Sphere Model
10%
Spin Configuration
7%
Statistical Distribution
9%
Step Function
6%
Stiffness Tensor
10%
Survival Time
9%
Target Structure
9%
Thermal Conductivity
6%
Truncation
6%
Two Dimensional
51%
Two-Point Correlation Function
24%
Wave Number
7%
Young's Modulus
33%
