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991.
Jinqiao DUAN 《Frontiers of Mathematics in China》2009,4(3):425-436
Model uncertainties or simulation uncertainties occur in mathematical modeling of multiscale complex systems, since some mechanisms
or scales are not represented (i.e., ‘unresolved’) due to a lack in our understanding of these mechanisms or limitations in
computational power. The impact of these unresolved scales on the resolved scales needs to be parameterized or taken into
account. A stochastic scheme is devised to take the effects of unresolved scales into account, in the context of solving nonlinear
partial differential equations. An example is presented to demonstrate this strategy.
Dedicated to Professor Peter E. Kloeden on the occasion of his 60th birthday 相似文献
992.
993.
The electronic structures and optical properties of rocksalt indium nitride (InN) under pres-sure were studied using the first-principles calculation by considering the exchange and cor-relation potentials with the generalized gradient approximation. The calculated lattice con-stant shows good agreement with the experimental value. It is interestingly found that the band gap energy Eg at the Γ or X point remarkably increases with increasing pressure, but Eg at the L point does not increase obviously. The pressure coefficient of Eg is calculated to be 44 meV/GPa at the Γ point. Moreover, the optical properties of rocksalt InN were calculated and discussed based on the calculated band structures and electronic density of states. 相似文献
994.
By using the molecular dynamic simulation method with a
fourth-order Runge--Kutta algorithm, a two-dimensional dc- and
ac-driven Frenkel--Kontorova (FK) model with a square symmetry
substrate potential for a square lattice layer has been investigated
in this paper. For this system, the effects of many different
parameters on the average velocity and the static friction force
have been studied. It is found that not only the amplitude and
frequency of ac-driven force, but also the direction of the external
driving force and the misfit angle between two layers have some
strong influences on the static friction force. It can be concluded
that the superlubricity phenomenon appears easily with a larger ac
amplitude and lower ac frequency for some special direction of the
external force and misfit angle. 相似文献
995.
Xiaojun Duan Jubo Zhu Zhengming Wang 《International Journal of Infrared and Millimeter Waves》2001,22(1):133-140
Linear filter may hide simple nonlinearity of chaotic dynamics, which would decrease the accuracy of parameter estimation, and reduce the effect of signal processing. Based on theoretical and experimental analysis, this paper provides a method to recover the dynamics. An example of radar data proves that the dynamics hidden in observed data can be found by inverse filter of chaos. It is also pointed out that inverse filter of chaos can be applied to mine inner regulation of some time series and estimate parameters of nonlinear models in data processing for radar. And the method is significant to clutter modeling. 相似文献
996.
The eigenstates and eigenspectrum of a charged particle in a one-dimensional semiconductor superlattice with an impurity under the action of a dc electric field are investigated employing the single-band tight-binding model. We find that the system undergoes a series of avoided crossings, at which resonant oscillations between the impurity and its nearest neighbour occur if appropriate conditions are met, suggesting an effective two-level approximation. This phenomenon shows that introducing an impurity in a perfect lattice provides a promising structure for the observation of terahertz radiation. 相似文献
997.
Dynamical properties of two-band superlattices with strong interband coupling in real space under the action of ac and dc-ac fields 下载免费PDF全文
Within a two-band tight-binding model driven by ac and dc-ac electric fields, using numerical methods, we investigate the dynamics of electrons and the quasi-energy spectrum of the system with strong interband coupling in real space. We find that when the bandwidth is suppressed to a value much smaller than the field frequency, the dynamical localization can exist in the system. The corresponding regions are found for the occurrence of dynamical localization in the parameter space. 相似文献
998.
The effects of dust temperature and the dust charge variation in a dusty plasma with vortex—like ion distribution 下载免费PDF全文
By considering both the dust temperature and the dust charge variation in dusty plasma with vortex-like ion distribution, we obtained a modified Korteweg-de Vries equation. It indicates that the effect of dust charge variation can cause the one-dimensional soliton amplitude to become larger, and the dust temperature can cause the soliton amplitude to become larger as well. Moreover, as the dust temperature increases, the soliton amplitude will increase. 相似文献
999.
采用流变学法系统地考察了部分水解聚丙烯酰胺(HPAM)/Cr(III)交联体系的 反应动力学。HPAM溶液的粘性模量G”大于弹性模量G’,且其数值随时间不发生变 化,体系为粘性溶液。而HPAM/Cr(III)体系的G’和G”的数值都随时间变化,G” 在反应开始阶段大于G’,当反应进行一段时间后,G’超过G”占据主要地位,体 系成为弹性体系。交联过程可分为三个阶段:第一上升阶段,平缓上升阶段和第二 上升阶段。利用G’~ t曲线可以推测反应机理。实验发现成胶速率随反应物HPAM 和Cr(III)的浓度的增加而增加,而成胶时间缩短。在羧基浓度过量的情况下,交 联反应对Cr(III)浓度的反应级数是1。凝胶的有效弹性交联密度随聚合物浓度的增 加而增,且随凝胶反应的进行而增加。凝胶的交联点间的平均分子量随Cr(III)浓 度的增加和交联反应的进行而下降。 相似文献
1000.