Frequency-Dependent Stochastic Resonance in Globally Coupled Systems

A model of globally coupled bistable systems consisting of two kinds of sites, subject to a periodic driving and spatially uncorrelated stochastic force, is investigated. In the large system size limit, the problem of large number of coupled Langevin equations can be reduced to a simple problem of two coupled ordinary differential equations. Considering the finite size effect, we can derive two coupled Langevin equations. All the above three kinds of equations are numerically computed and compared with each other. Fkequency-dependent stochastic resonance is found, and the reduced equations can represent the high-dimensional system when the system size is large.     

ICP-MS研究太湖表层沉积物对Cd2+和Zn2+的吸附-解吸特性

前期研究发现太湖过滤水和表层沉积物中Zn含量最高,且表层沉积物中Cd存在强生态危害。因此,在优化实验条件下,以电感耦合等离子体质谱(ICP-MS)为分析手段研究了太湖苏州湾大桥东表层沉积物(标记为SES)对Cd2+和Zn2+的吸附-解吸特性。吸附动力学结果表明：SES对Cd2+和Zn2+的吸附能力相差不大,在吸附时间t<120 min时,吸附是一个快速阶段,而当t≥120 min时则相反,吸附趋于动态平衡;Cd2+和Zn2+的吸附更符合伪二级动力学模型。吸附热力学实验表明,沉积物对Cd2+的吸附更符合Freundlich模型,而对Cd2+的吸附更符合Langmuir模型。沉积物中Cd2+和Zn2+的解吸动力学研究发现,二者均更符合Elovich方程,为非均相扩散过程。且当pH值增大时,沉积物中Cd2+和Zn2+的解吸量逐渐减小,并在pH=9时趋于稳定。结合Cd2+和Zn2+的吸附-解吸特性发现,SES对Cd2+和Zn2+的吸附速率远远大于其解吸速率,与作者前期研究结果一致。揭示了太湖表层沉积物对Cd2+和Zn2+的吸附-解吸作用机理及不同因素对吸附-解吸行为的影响。对研究太湖固-液两相界面重金属的分配和污染水体修复具有重要指导意义。     

Microwave-assisted digestion with a single reaction chamber for mineral fertilizer analysis by inductively coupled plasma optical emission spectrometry

A systematic approach is proposed to evaluate microwave-assisted digestion in a single reaction chamber for the simultaneous determination of elements in the mineral fertilizer and raw material by inductively coupled plasma optical emission spectrometry. A reference material was digested using 12 acid mixtures containing nitric, hydrochloric, orthophosphoric, hydrofluoric or boric acid. Principal components analysis was applied for data treatment. Three digestion procedures based on diluted acids exhibited the most accurate results, with relative errors for reference values ranging from ?15% to +?9%. Limits of quantification were in the range of 0.2?mg cadmium kg^?1 up to 1000?mg aluminum kg^?1.     

用统一耦合模理论分析含布拉格光栅的对称光纤耦合器的传输特性

利用由麦克斯韦方程组直接导出的统一耦合模理论分析各类型的含布拉格光栅的对称光纤耦合器的传输特性。与以前发表的分析方法不同,对于含布拉格光栅的耦合区域,统一耦合模型理论同时考虑了布拉格光栅和耦合的耦合作用。模拟结果证明它能精确地模拟和解释各种类型的含布拉格光栅的对称光纤耦合器的有关实验现象。     

基于光子晶体的三端口分插复用器

提出了一种新的基于对称全反射壁的光子晶体分插复用器,与其他类型的光子晶体复用器相比,无需对介质柱进行复杂的调节即可实现100%上/下载,方便实际制造.提出的理论模型与基于二维时域有限差分(FDTD)法的数值实验相当吻合,显示出这种器件具有优良的上/下载性能.     

电感耦合等离子体发射光谱法定量测试明胶中的微量金属元素Hg和Rh--应用MSF模型改进Hg结果的精密度和检测限

应用电感耦合等离子体发射光谱技术,建立了定量测试明胶中微量金属元素Hg和Rh的方法。采用湿法消解对明胶样品进行前处理。讨论了ICP-AES同时测定明胶中微量金属元素Hg和Rh时,应用MSF模型校正对汞的光谱干扰和背景干扰,改善了检测结果的精密度和检测限。实验结果表明,建立的方法准确、快速、高效、线性范围宽,得到的分析结果令人满意。     

Similarity Transformations of Hermitian Hamiltonians and Pseudo-Hermitian Coupling Between Two Electromagnetic Modes

Pseudo-Hermitian Hamiltonians and pseudo-Hermitian coupling between two electromagnetic modes are analyzed by using similarity transformations of Hermitian Hamiltonians or of Hermitian operators, including a special metric and biorthogonal relations replacing the usual orthogonal relations used in quantum mechanics. The coupling between two electromagnetic (em) modes including certain decay and amplification processes is related to a coupling matrix G which has parity-time (PT) symmetry and which obeys the pseudo-Hermiticity condition ηGη⁻¹ = G ^† where η is a metric. The linear equations representing the pseudo-Hermitian coupling between the two em modes are diagonalized, in the interaction picture, by introducing ‘dressed’ αˉ and β~ operators which have real or pure imaginary eigenfrequencies. The commutation-relations (CR) for the α~ and β~ operators and for the two-mode operators ā and b~, in the interaction picture and under the condition of real eigenfrequencies are obtained by the use of the pseudo-Hermiticity property of the G matrix. These CR for real eigenfrequencies, are preserved in time without any Langevin noise terms.     

Synchronization and structure in an adaptive oscillator network

We analyze the interplay of synchronization and structure evolution in an evolving network of phase oscillators. An initially random network is adaptively rewired according to the dynamical coherence of the oscillators, in order to enhance their mutual synchronization. We show that the evolving network reaches a small-world structure. Its clustering coefficient attains a maximum for an intermediate intensity of the coupling between oscillators, where a rich diversity of synchronized oscillator groups is observed. In the stationary state, these synchronized groups are directly associated with network clusters.     

Scaling Laws for the Multidimensional Burgers Equation with Quadratic External Potential

The reordering of the multidimensional exponential quadratic operator in coordinate-momentum space (see X. Wang, C.H. Oh and L.C. Kwek (1998). J. Phys. A.: Math. Gen. 31:4329–4336) is applied to derive an explicit formulation of the solution to the multidimensional heat equation with quadratic external potential and random initial conditions. The solution to the multidimensional Burgers equation with quadratic external potential under Gaussian strongly dependent scenarios is also obtained via the Hopf-Cole transformation. The limiting distributions of scaling solutions to the multidimensional heat and Burgers equations with quadratic external potential are then obtained under such scenarios. AMS Subject Classifications: 60G60, 60G15, 62M15, 60H15     

有压腔式吸热器复杂耦合换热机理数值研究

本文建立了有压腔式太阳能吸热器(PVSR)轴对称计算模型,运用蒙特卡罗光线追踪法(MCRT)模拟了二次聚光器(SC)与有压腔式吸热器(PVR)系统内聚光过程与光热转换过程,进而与计算流体与传热的有限容积方法(FVM)结合研究了高温高压吸热器内复杂耦合传热过程.在此基础上,进一步对比考察了考虑不同换热过程的换热机理,分析...