A WENO-solver combined with adaptive momentum discretization for the Wigner transport equation and its application to resonant tunneling diodes

DOI10.1016/j.jcp.2014.12.026zbMath1351.81019OpenAlexW2050738345WikidataQ39543554 ScholiaQ39543554MaRDI QIDQ728979

Antonius Dorda, Ferdinand Schürrer

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.12.026

zbMATH Keywords

quantum transportweighted essentially non-oscillatory schemeresonant tunneling diodeWigner function approach

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Computational methods for problems pertaining to quantum theory (81-08) Special quantum systems, such as solvable systems (81Q80)

Related Items (12)

The Wigner function of ground state and one-dimensional numerics ⋮ Comparison of deterministic and stochastic methods for time-dependent Wigner simulations ⋮ High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments ⋮ Stability and accuracy of a pseudospectral scheme for the Wigner function equation ⋮ A Characteristic-Spectral-Mixed Scheme for Six-Dimensional Wigner–Coulomb Dynamics ⋮ A benchmark study of the signed-particle Monte Carlo algorithm for the Wigner equation ⋮ An Optimal Control Problem for the Wigner Equation ⋮ Optimization modeling and simulating of the stationary Wigner inflow boundary value problem ⋮ Optimization of the Deterministic Solution of the Discrete Wigner Equation ⋮ An Advective-Spectral-Mixed Method for Time-Dependent Many-Body Wigner Simulations ⋮ Wigner Monte Carlo simulation without discretization error of the tunneling rectangular barrier ⋮ A hybrid sinc-Galerkin/finite-difference method for the time-dependent Wigner equation

Uses Software

• MATLAB expm

Cites Work

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• Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport
• A benchmark study of the Wigner Monte Carlo method
• Geometric Numerical Integration
• Kinetic Approach to Condensation

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