Theory of domain patterns in systems with long-range interactions of Coulomb type

Mathematics

• Long-range Interactions 100%
• Coulomb Interaction 30%
• Free Energy 20%
• First Variation 8%
• Nucleation 8%
• Scaling Laws 8%
• Second Variation 8%
• Length Scale 7%
• Range of data 7%
• Pattern Formation 7%
• Disorder 7%
• Renormalization 7%
• Mean Field 7%
• Ring or annulus 6%
• Hexagon 6%
• Energy Functional 6%
• Thermodynamics 6%
• Asymptotic Analysis 6%
• Fluctuations 6%
• Integro-differential Equation 5%
• Scenarios 5%
• Two Dimensions 5%
• Critical point 5%
• Valid 4%
• Interaction 4%
• Framework 3%
• Arbitrary 3%
• Form 2%

Physics & Astronomy

• interactions 27%
• free energy 14%
• annuli 6%
• scaling laws 5%
• critical point 5%
• differential equations 4%
• disorders 4%
• nucleation 4%
• thermodynamics 3%