ar X iv : 0 81 1 . 37 90 v 1 [ m at h - ph ] 2 4 N ov 2 00 8 Algebraic time - decay for the bipolar quantum hydrodynamic model ∗
نویسندگان
چکیده
The initial value problem is considered in the present paper for bipolar quantum hydrodynamic model for semiconductors (QHD) in R. We prove that the unique strong solution exists globally in time and tends to the asymptotical state with an algebraic rate as t → +∞. And, we show that the global solution of linearized bipolar QHD system decays in time at an algebraic decay rate from both above and below. This means in general, we can not get exponential time-decay rate for bipolar QHD system, which is different from the case of unipolar QHD model (where global solutions tend to the equilibrium state at an exponential time-decay rate) and is mainly caused by the nonlinear coupling and cancelation between two carriers. Moreover, it is also shown that the nonlinear dispersion does not affect the long time asymptotic behavior, which by product gives rise to the algebraic time-decay rate of the solution of the bipolar hydrodynamical model in the semiclassical limit.
منابع مشابه
ar X iv : 0 81 1 . 12 76 v 1 [ m at h - ph ] 8 N ov 2 00 8 Correlation Functions for β = 1 Ensembles of Matrices of Odd Size
Using the method of Tracy and Widom we rederive the correlation functions for β = 1 Hermitian and real asymmetric ensembles of N ×N matrices with N odd.
متن کاملar X iv : 0 81 1 . 23 46 v 2 [ m at h . A G ] 1 6 N ov 2 00 8 EFFECTIVE ALGEBRAIC DEGENERACY
We prove that any nonconstant entire holomorphic curve f : C → X in a projective algebraic hypersurface X ⊂ P(C) of arbitrary dimension n > 2 must be algebraically degenerate if X is generic and if its degree satisfies the effective lower bound degX > n n+5 . Table of contents
متن کاملar X iv : m at h - ph / 0 31 10 01 v 4 3 N ov 2 00 4 Clifford Valued Differential Forms , Algebraic Spinor Fields
متن کامل
ar X iv : 0 71 1 . 35 78 v 1 [ qu an t - ph ] 2 2 N ov 2 00 7 A formula for the spectral projection of the time operator
In this paper, we study the one-level Friedrichs model with using the quantum time super-operator that predicts the excited state decay inside the continuum. Its survival probability in long time limit is an algebraically decreasing function and an exponentially decreasing multiplied by the oscillating functions.
متن کاملar X iv : 0 81 1 . 24 38 v 2 [ he p - ph ] 2 1 N ov 2 00 8 Theory Summary : International Symposium on Multiparticle Dynamics 2008
I summarize the theory talks presented at the International Symposium on Multiparticle Dynamics 2008.
متن کامل