Keyphrases
Variational
55%
Spin Systems
43%
Phase Transition
41%
Continuum Limit
37%
Variational Analysis
35%
Lattice Spacing
34%
Chirality Transitions
32%
Convergence Analysis
27%
Energy Functional
26%
Square Lattice
25%
Energy Density
25%
Vortex
24%
Nearest Neighbor
22%
Lower Semicontinuity
20%
Discrete System
20%
Asymptotic Behavior
19%
Discrete-to-continuum
19%
Two Dimensional
19%
Topological Singularities
19%
Integral Representation
19%
Discrete-to-continuum Limit
19%
Representation Results
19%
Clock Model
17%
Chirality
17%
Surfactant
17%
Spin Fields
16%
Stochastic Homogenization
16%
XY Model
15%
Nonlinear Elasticity
14%
Spin Models
14%
Helimagnet
14%
Ferromagnet
14%
Antiferromagnetic
14%
Long-range Interactions
14%
Periodic Lattices
14%
Compactness Results
14%
Screw Dislocation
11%
Local Minimizer
11%
Periodic Media
11%
Stochastic Lattice
11%
Surface Scales
11%
Triangular Lattice
11%
Antiphase Boundary
11%
Random Lattice
11%
Superlinear Growth
11%
Convergence Theorem
11%
Fractional Vortex
11%
Variational Model
11%
Isoperimetric Inequality
10%
Discrete Energy Method
10%
Mathematics
Lattices
100%
Continuum Limit
54%
Asymptotic Behavior
36%
Variational Analysis
35%
Energy Functional
32%
Ground State
31%
Convergence Analysis
28%
Asymptotics
25%
Stochastics
25%
Nearest Neighbor
23%
Square Lattice
23%
Functionals
21%
Flux Density
21%
Integral Representation
18%
Range Interaction
14%
Discretization
14%
Lower Semicontinuity
14%
Isoperimetric Inequality
13%
Discrete Energy
13%
Total Variation
11%
Finite Number
11%
Transition Point
11%
Ferromagnet
11%
Variational Problem
11%
Subsequence
9%
Mean Curvature
8%
Unit Circle
8%
Energetics
8%
Dimensional Model
8%
Spin Model
8%
Dirichlet Boundary Condition
8%
Upper Bound
8%
Variational Approach
8%
Interaction Energy
7%
Variational Method
7%
Convergence Result
7%
Nonlinear
5%
Nonlinear Elasticity
5%
Analogous Result
5%
Positive Constant
5%
Integer
5%
Landau Theory
5%
Neighbor Interaction
5%
Thermodynamic Limit
5%
Singular Set
5%
Orientable Manifold
5%
Geometric Object
5%
Necessary and Sufficient Condition
5%
Interaction Potential
5%
Type Model
5%