一个与Toda格相关的微分差分方程族及其反散射变换

By combined power evolution laws of the spectral parameter and the initial constants of integration,a new differential-difference hierarchy is presented from the Toda spectral problem.The hierarchy contains the classic Toda lattice equation,the nonisospectral Toda lattice equation and the mixed Toda lattice equation as reduced cases.The evolution of the scattering data in the inverse scattering transform is analyzed in detail and exact soliton solutions are computed through the corresponding inverse scattering transform.     

Magnetic transition and large reversible magnetocaloric effect in EuCu1.75P2 compound

The magnetocaloric effect(MCE) in EuCu1.75P2 compound is studied by the magnetization and heat capacity measurements.Magnetization and modified Arrott plots indicate that the compound undergoes a second-order phase transition at TC ～ 51 K.A large reversible MCE is observed around TC.The values of maximum magnetic entropy change(-△SxMma) reach 5.6 J·kg-1·K-1 and 13.3 J·kg-1·K-1 for the field change of 2 T and 7 T,respectively,with no obvious hysteresis loss in the vicinity of Curie temperature.The corresponding maximum adiabatic temperature changes(△Tadmax) are evaluated to be 2.1 K and 5.0 K.The magnetic transition and the origin of large MCE in EuCu1.75P2 are also discussed.     

Klein-Gordon oscillators in noncommutative phase space

We study the Klein-Gordon oscillators in non-commutative (NC) phase space. We find that the Klein-Gordon oscillators in NC space and NC phase-space have a similar behaviour to the dynamics of a particle in commutative space moving in a uniform magnetic field. By solving the Klein-Gordon equation in NC phase space, we obtain the energy levels of the Klein-Gordon oscillators, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.     

缓变地形下Rossby波振幅演变满足的带有强迫项的KdV方程

运用非线性方法与摄动法,讨论了当地形随时间缓变时Rossby波振幅的演变问题.从均值流体准地转涡度方程推导,得到Rossby波振幅演变满足带有强迫项的KdV方程的结论,而地形随时间的缓慢变化诱导了该方程的强迫项. 关键词： 非线性Rossby波 带有强迫项的KdV方程 摄动法 缓变地形     

Effect of thickness variations of lithium niobate on insulator waveguide on the frequency spectrum of spontaneous parametric down-conversion

We study the effect of waveguide thickness variations on the frequency spectrum of spontaneous parametric down-conversion in the periodically-poled lithium niobate on insulator (LNOI) waveguide. We analyze several variation models and our simulation results show that thickness variations in several nanometers can induce distinct effects on the central peak of the spectrum, such as narrowing, broadening, and splitting. We also prove that the effects of positive and negative variations can be canceled and thus lead to a variation-robust feature and an ultra-broad bandwidth. Our study may promote the development of on-chip photon sources in the LNOI platform, as well as opens up a way to engineer photon frequency state.     

快淬钐铁合金不同速率下的相结构演变

在高真空电弧熔炼及单辊旋淬一体炉制备钐铁合金薄带实验中,通过控制辊轮转速来实现不同的冷却速率(10~5~10~6K·s~(-1))。在快速冷凝钐铁合金的过程中,由于存在非常高的温度梯度,落至辊轮上的合金液滴会迅速冷凝成连续的非晶或微晶薄带。通过XRD物相检测手段研究快淬钐铁合金不同速率下的相结构演变。结果表明:在常规冷却条件下凝固得到的钐铁合金中具有α-Fe,SmFe_3,SmFe_2和Sm_2Fe_(17)4种物相;在快速冷凝条件下,钐铁合金的α-Fe相消失,随着冷却速率增大,SmFe_3相也消失,合金中只剩下SmFe_2和Sm_2Fe_(17)相;冷却速率继续增大时,快淬钐铁中出现非晶,且随着冷却速率的增大,非晶含量增多;此外,当快淬速率升至36.5 m·s~(-1)时,非晶含量可达到50%左右。     

一种土壤剖面CO2气体通量的测试方法

设计和研制了一套土壤剖面CO2气体通量原位测试的方法和装置,该方法和装置可用于土壤剖面不同深度（0～200 cm）土壤CO2气体通量的观测、不同深度土壤层CO2气体存储量的估测、土地利用/土地覆盖变化引起土壤CO2气体释放量变化的测算和估计,以及植被或地力恢复速率的评价等。     

水质监测中总磷无损的近红外光谱分析研究

本文对天然水样的近红外光谱与水样总磷（TP）含量进行了相关性研究,并建立了水质总磷的近红外光谱（NIRS）分析方法。结果表明：NIRS方法建立的定量分析模型所得TP含量与国标法得到结果的相关性达到0.908,并且在显著性水平大于0.05的条件下对NIRS方法与国标法的测定结果进行t检验,二者无显著性差异,说明了NIRS方法定量分析地表水中低含量总磷的可行性。     

5d过渡金属原子掺杂氮化铝纳米管电子结构、磁性性质的第一性原理计算

采用基于密度泛函理论(DFT)的第一性原理计算方法, 研究了5d过渡金属原子(Lu、Hf、Ta、W、Re、Os、Ir、Pt、Au、Hg)取代AlN纳米管(AlNNTs)中的铝原子或氮原子时体系的几何结构、电子结构和磁性性质; 并且以理想AlN纳米管(AlNNTs)、Al缺陷体系(VAl)和N缺陷体系(VN)的结果作为对比. 研究发现: 5d 原子取代Al(Al5d)时体系的局域对称性接近于C3v, 但是取代N(N5d)时体系的局域对称性偏离C3v对称性较大; 当掺杂的5d元素相同时, Al5d的成键能比N5d的成键能大; 当掺杂体系相同时(Al5d或N5d), 其成键能基本上随着5d原子的原子序数的增大而降低; 掺杂体系中出现了明显的杂质能级, 给出了态密度等结果; 不同掺杂情况的磁矩不同, 总磁矩呈现出较强的规律性. 利用C3v对称性和分子轨道理论解释了过渡金属原子取代Al时杂质能级的产生和体系磁性的变化规律.     

Studies on the law of laminar helical flow of power-law fluid in eccentric annuli

According to the principle of fluid mechanics,the law of laminar,helical flow of power-law fluid in eccentric annuli is studied extensively in this paper.The apparent viscosity,velocities distribution of laminar helical flow of power-law fluid are discussed and calculating methods of flow rate and pressure loss are presented.The factors influencing flow are also analysed.On the basis of theoretical studies some new results of the present paper are compared with the theories of the helical flow of the power-law fluid in concentric annuli.The test verified that theoretical formulas in this article are proper and general.They can be used for calculating hydraulic parameters in drilling engineering.