Wigner-Poisson equations
Numerical Simulation of Resonant Tunneling Devices Described by the Wigner-Poisson Equations.
... The original goal was to duplicate the results obtained using the original FORTRAN model in 2005 [2] (see figure 6.12), which used a coarse grid of N k = 72 and N x = 86 and a fixed momentum space of [−0.25, 0.25]. ...
164
Parallel parameter study of the Wigner-Poisson equations for RTD'S
... We will discuss a parametric study of the solution of the Wigner-Poisson equations for resonant tunneling diodes. These structures exhibit self-sustaining oscillations in certain operating regimes. ...
18
Solution of the Wigner-Poisson equations for RTDS
... We will discuss a parametric study of the solution of the Wigner-Poisson equations for resonant tunneling diodes. These structures exhibit self-sustaining oscillations in certain operating regimes. ...
6
Numerical Methods for the Wigner-Poisson Equations
... the Wigner equation and the approximate solution we obtain is a weigted sum of delta functions involving the par- ...linear Wigner equation with a fixed potential U and neglect scattering effects that will ...
168
Simulating nanoscale semiconductor devices
... The next generation of electronic devices will be developed at the nanoscale and molecular level, where quantum mechanical effects are observed. These effects must be accounted for in the design process for such small ...
14
AN ENERGETIC VARIATIONAL APPROACH TO MATHEMATICAL MODELING OF CHARGED FLUIDS: CHARGE PHASES, SIMULATION AND WELL POSEDNESS
... the equations themselves or low order expan- sions of these ...these equations or even of the asymptotic expansions is virtualy ...these equations from a variational PDE point of view to determine to ...
83
High field quantum transport theory in semiconductors
... to Wigner transform the Greens function equations and use the relationships listed in Appendix I to convert Greens functions into products of Wigner distributions and spectral ...
273
A Fast high Order Algorithm for Three dimensional Poisson Equations
... Fast Fourier transform is a powerful technique for solving three-dimensional Poisson equation. This paper presents a fast algorithm for solving three-dimensional Poisson equations. The large linear ...
8
A conservative finite difference scheme for Poisson–Nernst–Planck equations
... Although this work makes good progress in constructing an accurate method for solving the Poisson–Nernst–Planck equations numerically, there are many challenges remaining. First, one of them is to account ...
15
Taylor approximation of stochastic functional differential equations with the Poisson jump
... the Poisson jump is concerned, the rate of approximation to the true solution by the numerical solution is the same as the equation in ...the Poisson process is replaced by Poisson random measure, ...
10
Relativistic Wigner functions
... relativistic Wigner function with three different ...the Wigner function to relativistic domain gives a new look at some problems and also might simplify the ...the Wigner involving integrals ...
8
A semiclassical approach to quantum Brownian motion in Wigner's phase space
... Now, all of the above time evolution equations for the reduced density operator may be equivalently treated using the Wigner-Moyal phase space representation of quantum me chanics, thus[r] ...
181
Phase Space Path Integral Representation for Wigner Function
... In this paper we continue developing the ab initio path integral Monte Carlo approach in phase space by using the basic ideas suggested before in [22]. Here we have generalized the path integral representation for ...
21
Multiple solutions of steady-state Poisson-Nernst-Planck equations with steric effects
... We shall use the formula (1.5) to calculate the excess currents for multiple solutions of the 1D steady-state PNP-steric equations. We are motivated by the hope–but cannot dare expect–that one solution will ...
27
Derivation of Poisson and Nernst-Planck equations in a bath and channel from a molecular model
... A different approach to include the finite sizes of the ions into an averaged PNP description introduces Lennard-Jones force terms between the individual ions in the Langevin sys- tem 共 2.1 兲 . Then, in the averaging ...
14
Freidlin Wentzell’s Large Deviations for Stochastic Evolution Equations with Poisson Jumps
... The weak convergence method of proving a large deviation principle has been developed by Dupuis and Ellis in [1]. The main idea is to get sevral variational representation formulas for the Laplace transform of certain ...
20
Parameter estimation for stochastic differential equations driven by Wiener and Poisson noise
... Ensemble and temporal parameter estimators are developed for linear and nonlinear stochastic differential equations driven by both Wiener and Poisson processes. Linear moment recursion r[r] ...
16
A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations
... the Poisson-Nernst-Planck(PNP) ...PNP equations, second-order accurate in both space and ...nonlinear equations resulting from discretizing the equations implicitly in time, which is ...
22
A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations
... In this work, we shall use the no-flux boundary condition for Eq. (1). This may correspond to modelling the interior conditions of a channel that is in an occluded state, with closed gates at either end. Simulations of ...
25