Comparison of asymptotic and numerical studies of electron flow spin-polarization in quantum waveguide in magnetic field

M. Kabardov, P. Neittaanmäki

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

Аннотация

The process of electron flow spin-polarization in a waveguide with two narrows in magnetic field is investigated. Asymptotic formulas for the main characteristics of resonant tunneling for 'sufficiently small' diameters of the waveguide's narrows are presented. They contain constants, which are found numerically by solving some auxiliary problems. Also, we obtain the same characteristics of the process by means of numerical calculation of the waveguide's scattering matrix. The obtained results show that asymptotic and numerical methods give equivalent outcomes at wide band of the narrows' diameters. The numerical method becomes ill-conditioned as the diameter decreases. However, the asymptotics remains reliable at such condition. On the other hand, the asymptotics gives way to the numerical method as the diameter increases; in fact, for wide narrows the resonant tunneling vanishes by itself.

Язык оригиналаанглийский
Название основной публикацииECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Страницы455-466
Число страниц12
СостояниеОпубликовано - 2012
Событие6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Австрия
Продолжительность: 10 сен 201214 сен 2012

Серия публикаций

НазваниеECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers

конференция

конференция6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
СтранаАвстрия
ГородVienna
Период10/09/1214/09/12

Предметные области Scopus

  • Математика и теория расчета
  • Прикладная математика

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