One-dimensional model of interacting-step fluctuations on vicinal surfaces: Analytical formulas and kinetic Monte Carlo simulations

Mathematics

• Kinetic Monte Carlo 100%
• One-dimensional Model 67%
• Fluctuations 54%
• Monte Carlo Simulation 49%
• Interaction 30%
• Stochastic Differential Equations 24%
• Mean-field Approximation 19%
• Dipole 17%
• Gaussian White Noise 17%
• Mean Field 15%
• Crystal 14%
• Perturbation Theory 14%
• Nearest Neighbor 14%
• Defects 14%
• White noise 14%
• Diffusion Coefficient 13%
• Equations of Motion 13%
• Linearization 13%
• Simplify 12%
• Nonlinear Differential Equations 12%
• Adjacent 11%
• Prediction 11%
• Nonlinearity 10%
• Energy 9%
• Line 9%
• Model 4%

Physics & Astronomy

• kinetics 34%
• simulation 21%
• white noise 20%
• differential equations 15%
• interactions 11%
• linearization 10%
• detachment 10%
• adatoms 9%
• self consistent fields 9%
• attachment 9%
• equations of motion 8%
• perturbation theory 7%
• diffusion coefficient 7%
• nonlinearity 7%
• dipoles 6%
• defects 5%
• predictions 5%
• approximation 4%
• atoms 4%
• crystals 4%
• energy 2%