Discrete breathers in a model with Morse potentials

Under harmonic approximation, this paper discusses the linear dispersion relation of the one-dimensional chain. The existence and evolution of discrete breathers in a general one-dimensional chain are analysed for two particular examples of soft (Morse) and hard (quartic) on-site potentials. The existence of discrete breathers in one-dimensional and two-dimensional Morse lattices is proved by using rotating wave approximation, local anharmonic approximation and a numerical method. The localization and amplitude of discrete breathers in the two-dimensional Morse lattice with on-site harmonic potentials correlate closely to the Morse parameter a and the on-site parameter к.     

水杨醛缩苯胺类席夫碱构象异构体的稳定性及其非线性光学性质的理论研究

运用量子化学有限场FF/PM3方法,对水杨醛缩苯胺类席夫碱几种异构体稳定构象的能量、结构、非线性光学系数进行了分析,探讨氢键及氢迁移过程对体系稳定性和非线性光学性质的影响.结果表明:水杨醛缩苯胺类席夫碱分子具有较好的二阶非线性光学性质,并可能成为一类良好的光学材料.     

Discrete gap breathers in a two-dimensional diatomic face-centered square lattice

In this paper we study the existence and stability of two-dimensional discrete gap breathers in a two-dimensional diatomic face-centered square lattice consisting of alternating light and heavy atoms, with on-site potential and coupling potential. This study is focused on two-dimensional breathers with their frequency in the gap that separates the acoustic and optical bands of the phonon spectrum. We demonstrate the possibility of the existence of two-dimensional gap breathers by using a numerical method. Six types of two-dimensional gap breathers are obtained, i.e., symmetric, mirror-symmetric and asymmetric, whether the center of the breather is on a light or a heavy atom. The difference between one-dimensional discrete gap breathers and two-dimensional discrete gap breathers is also discussed. We use Aubry's theory to analyze the stability of discrete gap breathers in the two-dimensional diatomic face-centered square lattice.     

管道热丝CVD金刚石膜反应器温度场的数值计算

在热丝化学气相沉积(HFCVD)金刚石膜的传统管道反应器中,对不同传热机制下管道壁温度场的空间分布进行了模拟计算.结果表明,管道壁温度场在纯热辐射机制作用下的分布很不均匀;在绝热和恒温的边界条件下考虑热传导作用后,管道壁温度分布的均匀性大大提高;进一步的热对流作用仅提高管道壁的总体温度,并不显著改变管道壁温度场的均匀性分布.     

Cu3N薄膜及其研究现状

Cu3N薄膜是近10年来研究的热点材料之一.Cu3N是立方反ReO3结构,理想立方反ReO3结构的一个晶胞中Cu原子占据立方边的中心位置而N原子占据立方晶胞的八个顶点,此结构的体心位置有一较大间隙,Cu原子以及其他原子如Pd、碱金属原子等很有可能进入此位置导致Cu3N的电学性能、光学性能等发生很大的变化,这使得该材料具有很大的潜在应用价值.Cu3N的晶格常数为0.3815nm,密度5.84g/cm3,分子量204.63,颜色呈黑绿色或红褐色,空间点群Pm3m.Cu3N薄膜在室温下相当稳定并且热分解温度较低(300℃左右),热分解前后薄膜的光学反射率有较大差别,这可使Cu3N薄膜用作一次性光记录材料.此外,Cu3N薄膜还可用作在Si片上沉积金属Cu线的缓冲层、低磁阻隧道结的阻挡层、自组装材料的模板等.     

Oscillatory and anti-oscillatory motifs in genetic regulatory networks

Recently,self-sustained oscillatory genetic regulatory networks(GRNs) have attracted significant attention in the biological field.Given a GRN,it is important to anticipate whether the network could generate oscillation with proper parameters,and what the key ingredients for the oscillation are.In this paper the ranges of some function-related parameters which are favorable to sustained oscillations are considered.In particular,some oscillatory motifs appearing with high-frequency in most of the oscillatory GRNs are observed.Moreover,there are some anti-oscillatory motifs which have a strong oscillation repressing effect.Some conclusions analyzing these motif effects and constructing oscillatory GRNs are provided.     

The effects of cubic potentials on discrete breathers in a mixed Klein－Gordon /Fermi－Pasta－Ulam chain

Nonlinearity has a crucial impact on the symmetry properties of dynamical systems. This paper studies a one-dimensional mixed Klein--Gordon/Fermi--Pasta--Ulam diatomic chain using the expanded rotating plane-wave approximation and numerical calculations to determine the effect of cubic potentials on the symmetry properties of discrete breathers in this system. The results will be very useful to researchers in the field of numerical calculations on discrete breathers.     

少节点基因调控网络的控制

近年来,自组织振荡网络受到越来越多科学家的关注,对生物体的生长、发育起调控作用的基因调控网络即是其中的一种.本文研究了少节点基因调控网络的控制问题.运用多相位超前驱动方法对该种网络进行调控,可以有效地提高对网络的控制效率.通过数值模拟,发现对于少节点基因调控网络,当系统参数确定时,网络的有效控制率可以达到95％以上(10节点网络);当系统参数不确定时,控制的效率也非常高.     

毫米波全息成像中的部分发育散斑模型

建立了包含镜面反射分量的毫米波全息成像中的部分发育散斑模型。将部分发育的散斑模型与毫米波全息成像的卷积过程相结合,推导了等效散射中心个数,建立了散斑对比度与高斯粗糙面均方根高度、相关长度和成像分辨率的关系。基于近场物理光学法,对随机粗糙面的毫米波全息散斑图样进行了蒙特卡罗仿真和散斑对比度分析。结果表明,当等效散射中心个数较少时,该模型与随机积分法及仿真所估计的散斑对比度一致,优于传统模型的估计结果。     

高频波在IAR中传播的Doppler效应

根据高频波在电离层阿尔芬谐振器(IAR)中的传播特性，将普适的Doppler频移公式具体化，以此为出发点，深入分析了IAR中产生Doppler效应的多种原因，尤其是IAR中粒子漂移(包括电子和离子)对产生Doppler频移的影响，并计算了相应的频移大小。结果表明：在IAR中，高频波Doppler频移可以达到几十Hz，其中电子漂移运动和飞船运动引起的高频波Doppler频移占主要地位，反射波相位变化引起的频移在入射波的频率足够高时只有O．1Hz左右，可以忽略不计；这为高频波Doppler频移的实验观测结果提供了理论依据。