A REVIEW ON THE QUANTUM DRIFT DIFFUSION MODEL
From MaRDI portal
Publication:4794380
DOI10.1081/TT-120015506zbMath1009.82023MaRDI QIDQ4794380
Publication date: 1 May 2003
Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Statistical mechanics of semiconductors (82D37) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items
Quantum Semiconductor Models ⋮ Convergent finite element discretizations of the density gradient equation for quantum semiconductors ⋮ A Positivity-preserving Finite Element Method for Quantum Drift-diffusion Model ⋮ Initial time layer problem for quantum drift-diffusion model ⋮ The existence and long-time behavior of weak solution to bipolar quantum drift-diffusion model ⋮ An accelerated monotone iterative method for the quantum-corrected energy transport model ⋮ Existence of global attractor for the one-dimensional bipolar quantum drift-diffusion model ⋮ The Dirichlet problem of the quantum drift-diffusion model ⋮ A sixth-order parabolic system in semiconductors ⋮ Almost Newton method for large flux steady-state of 1D Poisson--Nernst--Planck equations ⋮ The Global Existence and Semiclassical Limit of Weak Solutions to Multidimensional Quantum Drift-diffusion Model ⋮ Existence, semiclassical limit and long-time behavior of weak solution to quantum drift-diffusion model ⋮ Quasineutral limit of the viscous quantum hydrodynamic model for semiconductors ⋮ A GLOBALLY CONVERGENT GUMMEL MAP FOR OPTIMAL DOPANT PROFILING ⋮ The bipolar quantum drift-diffusion model ⋮ Two-Dimensional Modeling of Electron Flow Through a Poorly Conducting Layer
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Higher order nonlinear degenerate parabolic equations
- A uniqueness theorem for weak solutions of the stationary semiconductor equations
- A steady-state quantum Euler-Poisson system for potential flows
- Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit
- Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension
- The thermal equilibrium solution of a generic bipolar quantum hydrodynamic model
- The quantum hydrodynamic model for semiconductors in thermal equilibrium
- A note on current-voltage characteristics from the quantum hydrodynamic equations for semiconductors
- On the stationary quantum drift-diffusion model
- A note on boundary conditions for quantum hydrodynamic equations
- Global Nonnegative Solutions of a Nonlinear Fourth-Order Parabolic Equation for Quantum Systems
- A Positivity-Preserving Numerical Scheme for a Nonlinear Fourth Order Parabolic System
- Closure conditions for classical and quantum moment hierarchies in the small-temperature limit
- A variational formulation of schrödinger-poisson systems in dimension d ≤ 3
- Stability of the Linearized Transient Semiconductor Device Equations
- Long-wave instabilities and saturation in thin film equations
- A Spectral Method for the Numerical Simulation of Quantum Tunneling Phenomena
- The Quantum Hydrodynamic Model for Semiconductor Devices
- A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential
- Existence and positivity of solutions of a fourth‐order nonlinear PDE describing interface fluctuations
- Approximation of Thermal Equilibrium for Quantum Gases with Discontinuous Potentials and Application to Semiconductor Devices
- On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
- Fluctuations of a stationary nonequilibrium interface
- The energy transport and the drift diffusion equations as relaxation limits of the hydrodynamic model for semiconductors
- The Stationary Current-Voltage Characteristics of the Quantum Drift-Diffusion Model
- A variational analysis of the thermal equilibrium state of charged quantum fluids
- On a steady-state quantum hydrodynamic model for semiconductors
- Operator Splitting Methods Applied to Spectral Discretizations of Quantum Transport Equations
- An Operator Splitting Method for the Wigner–Poisson Problem
- Positivity-Preserving Numerical Schemes for Lubrication-Type Equations
- Positive solutions to singular second and third order differential equations for quantum fluids
- Traveling wave solutions for a quantum hydrodynamic model
