کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4612775 1338707 2006 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The relaxation-time limit in the quantum hydrodynamic equations for semiconductors
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The relaxation-time limit in the quantum hydrodynamic equations for semiconductors
چکیده انگلیسی

The relaxation-time limit from the quantum hydrodynamic model to the quantum drift–diffusion equations in R3 is shown for solutions which are small perturbations of the steady state. The quantum hydrodynamic equations consist of the isentropic Euler equations for the particle density and current density including the quantum Bohm potential and a momentum relaxation term. The momentum equation is highly nonlinear and contains a dispersive term with third-order derivatives. The equations are self-consistently coupled to the Poisson equation for the electrostatic potential. The relaxation-time limit is performed both in the stationary and the transient model. The main assumptions are that the steady-state velocity is irrotational, that the variations of the doping profile and the velocity at infinity are sufficiently small and, in the transient case, that the initial data are sufficiently close to the steady state. As a by-product, the existence of global-in-time solutions to the quantum drift–diffusion model in R3 close to the steady-state is obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 225, Issue 2, 15 June 2006, Pages 440-464