2016/04/19 by Ansgar Jüngel, Jüngel, Ansgar, Polina Shpartko +3
Computer Science · Engineering · Materials Science · #35J47 #35J60 #65M08 #82D37 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nuclear reactor physics and engineering #Thermal properties of materials
paper · pdf · doi:10.48550/arxiv.1604.05480
openalex publication_date 2016/04/19 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
Explicit energy-transport equations for the spinorial carrier transport in\nferromagnetic semiconductors are calculated from a general spin\nenergy-transport system that was derived by Ben Abdallah and El Hajj from a\nspinorial Boltzmann equation. The novelty of our approach are the simplifying\nassumptions leading to explicit models which extend both spin drift-diffusion\nand semiclassical energy-transport equations. The explicit models allow us to\nexamine the interplay between the spin and charge degrees of freedom. In\nparticular, the monotonicity of the entropy (or free energy) and gradient\nestimates are shown for these models and the existence of weak solutions to a\ntime-discrete version of one of the models is proved, using novel truncation\narguments. Numerical experiments in one-dimensional multilayer structures using\na finite-volume discretization illustrate the effect of the temperature and the\npolarization parameter.\n