双层耦合介质中四边形图灵斑图的数值研究

采用双层线性耦合Lengyel-Epstein模型,在二维空间对简单正四边和超点阵四边形进行了数值分析.结果表明:当两子系统波数比N1时,随耦合强度的增大,基模的波矢空间共振形式发生改变,系统由简单六边形自发演化为结构复杂的新型斑图,除已报道的超六边形外,还获得了简单正四边和多种超点阵四边形,包括大小点、点线、白眼和环状超四边等斑图.当耦合系数α和β在一定范围内同步增大时,两子系统形成相同波长的Ⅰ型简单正四边;当α和β不同步增大时,由于两图灵模在短波子系统形成共振,系统斑图经相变发生Ⅰ型正四边→Ⅱ型正四边→超点阵四边形的转变;当系统失去耦合作用时,短波子系统波长为λ的Ⅰ型正四边斑图迅速失稳并形成波长为λ/N的Ⅰ型正四边,随模拟时间的延长,两子系统中不同波长的正四边均会经相变发生Ⅰ型正四边→Ⅱ型正四边→六边形的转变.     

Long-Range Effects on the Pyroelectric Coefficient of Ferroelectric Superlattice

Long-range effects on the pyroelectric coefficient of a ferroelectric superlattice consisting of two differentferroelectric materials are investigated based on the transverse Ising model. The effects of the interfacial coupling andthe thickness of one period on the pyroelectric coefficient of the ferroelectric superlattice are studied by taking intoaccount the long-range interaction. It is found that with the increase of the strength of the long-range interaction, thepyroelectric coefficient decreases when the temperature is lower than the phase transition temperature; the number ofthe pyroelectric peaks decreases gradually and the phase transition temperature increases. It is also found that with thedecrease of the interfacial coupling and the thickness of one period, the phase transition temperature and the number ofthe pyroelectric peaks decrease.     

Turing Patterns in a Reaction-Diffusion System

We have further investigated Turing patterns in a reaction-diffusion system by theoretical analysis and numerical simulations. Simple Turing patterns and complex superlattice structures are observed. We find that the shape and type of Turing patterns depend on dynamical parameters and external periodic forcing, and is independent of effective diffusivity rate σ in the Lengyel-Epstein model. Our numerical results provide additional insight into understanding the mechanism of development of Turing patterns and predicting new pattern formations.     

Long—Range Effects on the Pyroelectric Coefficient of Ferroelectric Superlattice

Long-range effects on the pyroelectric coefficient of a ferroelectric superlattice consisting of two different ferroelectric materials are investigated based on the transverse Ising model.The effects of the interfacial coupling and the thickness of one period on the pyroelectric coefficient of the ferroelectric superlattics are studied by taking into account the long-range interaction.It is found that with the increase of the strength of the long-range interaction,the pyroelectric coefficient decreases when the temperature is lower than the phase transition temperature;the mumber of the pyroelectric peaks decreases gradually and the phase transition temperature increases,It is also found that with the decrease of the interfacial coupling and the thickness of one period.the phase transition temperature and the number of the pyroelectric peaks decrease.     

介质阻挡放电系统中带晕蜂窝六边形发光斑图

为了丰富介质阻挡放电系统中斑图的多样性,利用双水电极介质阻挡放电装置,在空气和氩气按一定比例混合的气体中（氩气含量χ=25%）,发现了带晕蜂窝六边形斑图。通过观察用普通相机拍摄的斑图照片,可以发现斑图是由中心点、晕和蜂窝框架构成,且中心点位于晕的中心,中心点和晕嵌套在蜂窝框架的中心。采用带有3个通道的高速照相机对斑图进行分脉冲瞬态拍摄,结果显示带晕蜂窝六边形斑图的3套子结构在外加电压的半周期内,总是按照晕-蜂窝框架-中心点这样的顺序放电。运用光电倍增管对这3套子结构进行研究,发现晕的放电在时间和空间上具有局部选择性。利用发射光谱法,根据氮分子第二正带系（C³Π_u→B³Π_g）谱线计算了中心点、晕和蜂窝框架的分子振动温度,结果显示:中心点的分子振动温度为2 632 K,晕的分子振动温度为2 679 K,蜂窝框架的分子振动温度为2 720 K。本文利用壁电荷理论解释带晕蜂窝六边形斑图的形成机制和时空结构。     

Pattern selection in a predation model with self and cross diffusion

In this paper, we present the amplitude equations for the excited modes in a cross-diffusive predator--prey model with zero-flux boundary conditions. From these equations, the stability of patterns towards uniform and inhomogenous perturbations is determined. Furthermore, we present novel numerical evidence of six typical turing patterns, and find that the model dynamics exhibits complex pattern replications: for μ₁<μ≤μ₂, the steady state is the only stable solution of the model; for μ₂<μ≤μ₄, by increasing the control parameter μ, the sequence H_π-hexagons → H₀-hexagon-stripe mixtures rightarrow stripes → H_π-hexagon-stripe mixtures → H₀-hexagons is observed; for μ>μ₄, the stripe pattern emerges. This may enrich the pattern formation in the cross-diffusive predator--prey model.     

Turing pattern selection in a reaction-diffusion epidemic model

We present Turing pattern selection in a reaction-diffusion epidemic model under zero-flux boundary conditions.The value of this study is twofold.First,it establishes the amplitude equations for the excited modes,which determines the stability of amplitudes towards uniform and inhomogeneous perturbations.Second,it illustrates all five categories of Turing patterns close to the onset of Turing bifurcation via numerical simulations which indicates that the model dynamics exhibits complex pattern replication:on increasing the control parameter ν,the sequence "H 0 hexagons → H 0-hexagon-stripe mixtures → stripes → H π-hexagon-stripe mixtures → H π hexagons" is observed.This may enrich the pattern dynamics in a diffusive epidemic model.     

Multiferroicity in Perovskite Manganite Superlattice

Multiferroic properties of short period perovskite type manganite superlattice ((R₁MnO₃)_n/(R₂MnO₃)_n (n=1,2,3)) are considered within the framework of classical Heisenberg model using Monte Carlo simulation. Our result revealed the interesting behaviors in Mn spins structure in superlattice. Apart from simple plane spin cycloid structure which is shown in all manganites including bulk, film, and superlattice here in low temperature, a non-coplanar spiral spin structure is exhibited in a certain temperature range when n equals 1, 2 or 3. Specific heat, spin-helicity vector, spin correlation function, spin-helicity correlation function, and spin configuration are calculated to confirm this non-coplanar spiral spin structure. These results are associated with the competition among exchange interaction, magnetic anisotropy, and Dzyaloshinskii-Moriya interaction.     

Superlattice Turing structures in a photosensitive reaction-diffusion system

Families of complex superlattice structures, consisting of combinations of basic hexagonal or square patterns, are found in a photosensitive reaction-diffusion system. The structures are induced by simple illumination patterns whose wavelengths are appropriately related to that of the system's intrinsic Turing pattern. Computer simulations agree with the structures and their stability. The technique offers a general approach to generating superlattices for use in information storage and other applications.     

介质阻挡放电中点线超四边形发光斑图研究

采用光电倍增管和光谱仪,研究了介质阻挡放电中点线超四边形发光斑图的时空结构和等离子参数。通过对斑图中放电丝光信号的采集和分析可知:点线超四边形斑图是由四套不同的子结构相互嵌套而成,在每半个电压周期内依次为小点四边形、大点连线、大点晕和位于大点中心的小点四边形。其中前三套子结构在电压上升沿放电,最后一套在电压下降沿放电。利用发射光谱法,采集了氮分子(N2)第二正带系(C3Πu→B3Πg)发射谱线,并计算得到了点线超四边形斑图中不同子结构的分子振动温度。结果表明:小点、大点连线和大点的分子振动温度几乎相同。讨论了介质表面的壁电荷分布对点线超四边形斑图的形成及其时空动力学行为的影响。     

Lindhard势与形变超晶格系统的共振现

假设超晶格“折沟道”对粒子的作用等效为形状相似的周期调制; 利用Lindhard 展开势, 并在小振幅近似下, 将面沟道粒子的运动行为化为了具有硬特性的弹簧振子。 利用多重尺度法分析了共振线附近的粒子运动行为, 讨论了系统的主共振、 子共振和超共振。 计算了超晶格“折沟道”临界斜率与系统参数之间的关系, 为研究超晶格光磁电效应提供了理论分析。It is assumed that a periodic modulation is equivalent to the deflected channel of the superlattice. In the small amplitude approximation the particle motion equation has been reduced to the Duffing equation with a hard-spring properties by using Lindhard expanded potential. The main resonance, the sub-harmonic resonance and the super-harmonic resonance have been analysed by the multi-scale technique. The critical parameter of the deflected channelling has been calculated, the results provided a theory analyse for the photo-magneto-electric effects of the superlattice.      

多束团不稳定性的模拟研究

利用模拟的方法研究了多束团不稳定性.SCBI程序(SIMULATION OF COUPLED-BUNCH INSTABILITIES)是一个用来模拟研究储存环上高频腔、真空盒内壁及其它腔形结构元件的长程尾场和中程尾场激发的多束团不稳定性的综合程序.在束团均匀分布情形下,比较了SCBI程序与ZAP程序的结果,两者非常一致.同时,利用SCBI程序对北京正负电子对撞机(BEPC)多束团改进方案(BEPCⅡ)的多束团不稳定性进行了详细的研究.     

Turing pattern selection in a reactionben diffusion epidemic modelast

We present Turing pattern selection in a reaction—diffusion epidemic model under zero-flux boundary conditions. The value of this study is twofold. First, it establishes the amplitude equations for the excited modes, which determines the stability of amplitudes towards uniform and inhomogeneous perturbations. Second, it illustrates all five categories of Turing patterns close to the onset of Turing bifurcation via numerical simulations which indicates that the model dynamics exhibits complex pattern replication: on increasing the control parameter v, the sequence “H₀ hexagons → H₀-hexagon-stripe mixtures → stripes → H_π-hexagon-stripe mixtures → H_π hexagons” is observed. This may enrich the pattern dynamics in a diffusive epidemic model.     

GaAs/AlGaAs超晶格的光致发光

在室温下测量了GaAs/A l0.3Ga0.7As超晶格的光致发光,发现在波长λ=761 nm处存在一较强的发光光峰,此发光峰目前尚未见报道。经理论分析表明,此峰是量子阱中的第一激发态电子与受主空穴复合发光。实验还观测到在λ=786 nm处,λ=798 nm处和λ=824 nm处分别存在一发光峰,分析表明λ=786 nm处的发光峰为量子阱阱中费米能级附近的电子与轻空穴复合发光;λ=798 nm处的发光峰为量子阱内的基态电子到轻空穴的复合发光;λ=824 nm处的发光峰为阱中激子复合复合发光。理论计算与实验结果符合的很好。     

Anisotropic Interface Roughness Scattering in a Lateral Superlattice

A novel interface roughness due to the perturbation of the periodic interface structure is studied theoretically for a lateral superlattice realized by an interface corrugated quantum well. It is found by numerical simulation that the correlation function for interface roughness can be well modeled by a sinusoidal function with an exponential decay in the direction of corrugation. Such a feature makes the correlation function far from a Gaussian function which is extensively used as a theoretical approximation of the correlation function for interface roughness. With such a correlation function, the influence of interface roughness scattering on electronic transport in the lateral superlattice is investigated.Consequently, it gives rise to a high anisotropy of electronic transport both in the absence and presence of a magnetic field, by which the relevant experiments can be well explained.     

双频激励下超晶格系统的混沌行为

假设超晶格“折沟道”对粒子的作用等效为形状相似的周期调制; 引入正弦平方势, 在小振幅近似下, 把粒子运动方程化为具有双频激励的Duffing方程。 用Melnikov方法分析了系统的混沌行为。 结果表明, 当外场为双频激励时, 系统将存在不同的次谐和超次谐分叉序列。 由于系统的混沌行为与系统参数有关, 于是, 只需控制材料组分、 或掺杂浓度, 就可望达到避免或控制混沌的目的, 为半导体超晶格的制备及其光磁电效应提供了理论分析。     

Anisotropic Interface Roughness Scattering in a Lateral Superlattice

A novel interface roughness due to the perturbation of the periodic interface structure is studied theoretically for a lateral superlattice realized by an interface corrugated quantum well. It is found by numerical simulation that the correlation function for interface roughness can be well modeled by a sinusoidal function with an exponential decay in the direction of corrugation. Such a feature makes the correlation function far from a Gaussian function which is extensively used as a theoretical approximation of the correlation function for interface roughness. With such a correlation function, the influence of interface roughness scattering on electronic transport in the lateral superlattice is investigated. Consequently, it gives rise to a high anisotropy of electronic transport both in the absence and presence of a magnetic field, by which the relevant experiments can be well explained.     

Quasiclassical Describing of the Bloch Oscillation in a Superlattice by Fokker-Planck Equation

A theoretical study of Bloch electron transport in a superlattice miniband driven by an electric field parallel to the growth axis is carried out, by Fokker-Planck equation (FPE) in momentum space with the averaged momentum relaxation time (γ) approximation. Steadystate drift-velocity/field characteristics exhibit the expected maximum followed by negative differential conductivity (NDC), and then followed by drift-velocity oscillation when γ or electric field is large. The oscillation frequency is an increasing function of γ, and when γ → ∞, the limit of the oscillation frequency is the Bloch frequency as expected.