Abstract
Homogeneous transport problems feature bulk materials and thus involve only a half of the phase space, the subspace of the carrier momenta. Nevertheless homogeneous simulations provide important semiconductor characteristics such as the dependence of the physical quantities on the time, applied field, carrier energy, temperature, and crystal orientation. Of basic importance are quantities, which are input parameters for the macroscopic models such as the mobility and diffusion, which are tensors in anisotropic materials. For stationary homogeneous problems the momentum components remain the only arguments of the distribution function. In this way the first Monte Carlo algorithms are for homogeneous simulations and aim to provide inputs for the inhomogeneous macroscopic models. The Single-Particle algorithm was introduced by Kurosawa in 1966 as a promising approach for the analysis of hot carrier effects.
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Notes
- 1.
Alternative expressions for 〈A〉Ω are discussed in the next section.
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Nedjalkov, M., Dimov, I., Selberherr, S. (2021). Homogeneous Transport: Empirical Approach. In: Stochastic Approaches to Electron Transport in Micro- and Nanostructures. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-67917-0_5
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DOI: https://doi.org/10.1007/978-3-030-67917-0_5
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