...: Zhuomin Zhang. 18 01 2013 12 08 2014 11 11 2014 Sequential numerical solution methods are commonly used for solving the phonon Boltzmann transport equation (BTE) because of simplicity of implementation and low storage requirements. However, they exhibit poor convergence for low...

... transport equation (BTE) are being increasingly employed to simulate submicron thermal transport in semiconductors and dielectrics. Typical sequential solution schemes encounter numerical difficulties because of the large spread in scattering rates. For frequency bands with very low Knudsen numbers, strong...

...Arpit Mittal; Sandip Mazumder A generalized form of the ballistic-diffusive equations (BDEs) for approximate solution of the Boltzmann Transport equation (BTE) for phonons is formulated. The formulation presented here is new and general in the sense that, unlike previously published formulations...

... diffusion ballistic transport temperature distribution conduction electronics phonon transport LBM BTE nanoscale Thermal effects are becoming increasingly important for the proper behavior and operation of microelectronic components. This is particularly relevant for the silicon...

...Sreekant V. J. Narumanchi; Jayathi Y. Murthy; Cristina H. Amon The problem of self-heating in microelectronic devices has begun to emerge as a bottleneck to device performance. Published models for phonon transport in microelectronics have used a gray Boltzmann transport equation (BTE) and do...