Inflow boundary conditions and nonphysical solutions to the Wigner transport equation.

Autor: Eryilmaz, M. K., Soleimanikahnoj, S., Jonasson, O., Knezevic, I.
Zdroj: Journal of Computational Electronics; Dec2021, Vol. 20 Issue 6, p2039-2051, 13p
Abstrakt: We investigate the emergence of nonphysical solutions to the steady-state Wigner transport equation on finite-sized simulation domains with inflow boundary conditions. We find that inflow boundary conditions are generally valid, but the wave number uncertainty of injected wave packets has a lower bound that can be significantly higher than usually assumed. Large values of the so-called quantum evolution term (which captures spatial nonlocality in the Wigner transport equation) near simulation-domain boundaries are the cause of spurious reflections, the often-reported discontinuity of the Wigner function at zero wave vector, and negative probabilities. We offer a simple relationship between the lower bound of the wave number uncertainty and simulation parameters that will ensure physical results with inflow boundary conditions. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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