An overview of phonon-based heat conduction models and their solution

Mathematics

• Phonon 93%
• Heat Conduction 67%
• Thin Films 29%
• Heat Equation 29%
• Approximation 28%
• Heat Transfer 24%
• Model 20%
• Isotropy 18%
• Boltzmann Equation 17%
• Thermal Model 13%
• Fourier's Law 12%
• Discretization 11%
• Energy Distribution 11%
• Design Methodology 10%
• Formulation 10%
• Model Analysis 9%
• Relaxation Time 9%
• Discretization Method 9%
• Energy Function 9%
• Radiation 8%
• Randomness 8%
• Albert Einstein 8%
• Diffusion equation 7%
• Phase Space 7%
• Distribution Function 6%
• Completeness 6%
• Physics 6%
• Limiting 6%
• Prediction 6%
• Approximate Solution 6%
• Gradient 6%
• Numerical Simulation 6%
• Valid 5%
• Numerical Methods 5%
• Boundary conditions 5%
• Simulation 5%

Engineering & Materials Science

• Heat conduction 66%
• Radiative transfer 34%
• Hot Temperature 30%
• Boltzmann equation 24%
• Thin films 22%
• Heat transfer 15%
• Relaxation time 10%
• Distribution functions 8%
• Thermal gradients 8%
• Numerical methods 7%
• Physics 6%
• Radiation 6%
• Boundary conditions 6%
• Computer simulation 4%