利用变分法和数值计算方法研究了空间调制作用下Bessel型光晶格中玻色-爱因斯坦凝聚体系中孤立子的稳定性,给出了存在随空间非周期变化的线性Bessel型光晶格和非线性光晶格(原子之间非线性相互作用的空间调制)时,各种参数组合下涡旋和非涡旋孤立子的稳定性条件.首先,利用圆对称的高斯型试探波函数得出描述体系稳定性参数满足的Euler-Lagrange方程和变分法分析体系稳定性所需要的有效作用势能的表达式.然后,根据有效作用势能是否具有局域最小值判断体系是否具有稳定状态,得出体系具有稳定状态时参数所满足的条件.最后,利用有限差分法求解Gross-Pitaevskii方程验证变分法结果的正确性,所得结果和变分法结果一致.

Using variational and numerical solutions of the mean field Gross-Pitaevskii equation, we investigate the stabilities of nonrotating and vortex solitons in Bessel optical lattice by spatial modulation of the nonlinearity(nonlinear optical lattice). It is demonstrated that there exist the stable matter-wave solitons in a combination of optical lattices with linear Bessel optical lattices and nonlinear optical lattice. Using the time-dependent variational approach, we derive the odinary differential equations for the time evolutions of the width and phase of solitons. Through an effective potential, we obtain the stable criteria for all kinds of combinations of the system parameters. We perform direct numerical simulations to support our analytical results, and find that they are in goog agreement.

基于准周期 Fibonacci 序列，提出了一维对称准周期序列固液介质声子晶体。利用传输矩阵法，数值研究了弹性波在其中的透射特性，以及局域谐振模的基本特征。弹性波正入射时，对低序列声子晶体，在声子带隙的中心频率处出现局域谐振模，且在其左右对称地出现两条局域谐振模。在较高序列结构的声子晶体中，仅在中心频率处出现一条局域谐振模。当弹性波斜入射时，声子带隙和谐振模都略微向高频方向移动。弹性波以较大角度斜入射时，只有低频弹性波透射。

On basis of quasi-periodic Fibonacci sequence,a symmetrical quasi-periodic phononic crystal composed of solid and liquid medium was proposed.Propagation of elastic wave in it and its local field resonant modes were investigated numerically with the transfer matrix method.It was shown that for the phononic crystal with lower order sequence,at the central frequency of the phononic band gap,a local field resonant mode appears;then,two local field resonant modes appear symmetrically at the left side and the right one of the central resonant mode;but for symmetrical quasi-periodic phononic crystal with higher order sequence,only there is a local field resonant mode at the central frequency;moreover,for an elastic wave oblique incident,the band gap and resonant modes slowly shift to higher frequency range;the resonant modes in the band gap can act as a super narrow bandwidth filter with multiple channels;for an elastic wave with larger incident angle,the lower frequency elastic wave can prop

计算动词元胞网络(CVCN)是一种使用计算动词局域规则的新型元胞计算平台。对于利用语言描述的高级模型来建模人类个体之间的确定与不确定性社会行为，计算动词元胞网络是非常成功的模型。由于计算动词理论有丰富的动词规则，因而计算动词元胞网络有多种形式。元胞网络是建模复杂系统的良好载体，将计算动词应用于元胞网络的构建，是解决复杂社会行为可计算化的一个行之有效的方法。计算动词元胞网络把物理语言学植入到元胞网络的局域规则中，从而实现物理信号推理到符号推理的转变。因此只需简单的计算动词局域规则即可建模高级的社会行为。本文提出新型的计算动词元胞网络模式——菱形对称波模式，分为典型性和非典型性两类，在除图像处理上有应用，也在农业，电子等领域有着重要的研究价值。

CVCN(Computational Verb Cellular Networks)is a new computational platform using Computational Verb Theory. CVCN is a successful model when modeling unspecified behavior and specified behavior between human by advanced models of language de-scription. Because it has abundant verb rules, CVCN includes many kinds of forms.Cellular network is the perfect carrier when modeling complex systems, and putting Computational Verb Theory into the construction of cellular network is an effective method of making complicated social behavior computable. CVCN plants physical linguistics in the cellular network local rules and realize the transform from physical signal to symbol signal. Therefore, we can use the simple computational verb local rules to model the high-level social behavior. This paper proposed a new CVCV pattern—rhombus symmetrical wave pattern, it includes typical pattern and atypical pattern, and can be used in image processing and agriculture and electronics region.

用三角对称下3d5组态离子的完全能量矩阵方法,通过理论模拟电子顺磁共振EPR谱,研究了Fe3+离子掺杂到石榴石晶体YAG(Y3Al5O12)和LAG(Lu3Al5O12)中形成的络合物离子(FeO6)9-的局域微观结构.结果表明,掺杂体系YAG:Fe3+中络合物离子(FeO6)9-的Fe-O键长R为2.017 4,LAG:Fe3+中络合物离子(FeO6)9-的R为2.029 6,与相应的实验数据吻合.并且YIG(Y3Fe5O12)和Fe2O3光谱数据计算值与实验观测数据也一致.

Using the complete energy matrices of trigonal symmetry for configuration 3d5 ions, the local micro-structures of ( FeO6 ) 9-complex ions in YAG ( Y3 Al5 O12 ) and LAG( Lu3 Al5 O12 ) garnets were investigated .The re-sults show that the Fe-O bond length R of (FeO6)9-complex ion in YAG is 2.017 4 ?, and R for (FeO6)9-com-plex ion in LAG is 2 .029 6?, which is consistent with the corresponding experimental data .Moreover , the present spectra on YIG(Y3Fe5O12) and Fe2O3 are in good agreement with the available experimental data .

通过分子动力学模拟(MD)，研究在HCP镁中的一个对称倾斜晶界与基面滑移的位错相互作用而激发的变形孪晶，也就是孪晶形核与长大的过程(或者是孪晶界迁移，TBM)。{1121}孪晶在该过程中是最易被激发的孪生模式。一旦这样的孪晶形成了，它们就会不断长大。该种孪晶界迁移是由单纯的原子位置局域调整造成的。在模拟过程中同时也产生了二次孪晶{1122}。该二次孪晶模型的孪晶形核与长大需要克服的能垒与{1121}孪晶不同。同时，二次孪晶的孪晶界迁移过程是通过孪晶界上的锥形滑移而激发的。

Deformation twinning, i.e., twin nucleation and twin growth (or twin boundary migration, TBM) activated by impinged basal slip at a symmetrical tilt grain boundary in HCP Mg, was examined with molecular dynamics (MD) simulations. The results show that the {1 1 21}-type twinning acts as the most preferential mode of twinning. Once such twins are formed, they are almost ready to grow. The TBM of such twins is led by pure atomic shuffling events. A secondary mode of twinning can also occur in our simulations. The {1122} twinning is observed at 10 K as the secondary twin. This secondary mode of twinning shows different energy barriers for nucleation as well as for growth compared with the {1 1 21}-type twining. In particular, TBMs in this case is triggered intrinsically by pyramidal slip at its twin boundary.