二维Frenkel-Kontorova模型中六角对称结构的摩擦现象

基于二维 Frenkel-Kontorova 模型, 运用分子动力学模拟方法, 研究了具有六角对称结构的系统从 locked 态到 sliding 态的相变, 并数值分析了上层原子采用六角对称结构时, 系统的不同参数对静摩擦力F_s和动摩擦力F_c的影响. 关键词： 二维 Frenkel-Kontorova 模型 超润滑 分子动力学 摩擦     

磁控溅射法制备Au薄膜及真空载流摩擦学行为研究

针对空间滑动电接触金基润滑涂层在制备方法以及失效机理认识方面存在的不足,探索采用绿色磁控溅射法制备金薄膜. 研究了偏压对薄膜微观结构、力学以及真空载流摩擦学性能的影响规律;建立了真空载流服役工况摩擦试验评价条件,可实现接触电流噪音的实时监测,进一步对比传统电镀金涂层,研究了其真空载流摩擦磨损行为差异、主要影响因素及作用机制. 结果表明:在适中的偏压下,薄膜晶粒尺寸小,结构致密光滑,具有高的结合力、硬度、耐磨性以及低的接触电流噪音. 相比于电镀法,磁控溅射法制备的金膜表现出明显光滑致密的结构特征,硬度、磨损率和接触电流噪音大幅改善. 其中光滑致密的结构是抑制微电弧产生的关键因素,可有效减少电弧侵蚀失效.      

费米超流气体的非线性Rosen-Zener隧穿

以非线性Rosen-Zener隧穿理论为基础, 用平均场近似的方法, 通过考虑高阶非线性项的影响, 研究了非线性两能级系统中费米超流气体的Rosen-Zener隧穿现象. 研究发现粒子间的非线性相互作用能够显著地影响量子隧穿. 分别在快扫描极限和绝热极限的条件下, 解释了Rosen-Zener隧穿现象, 并给出了矩形振荡周期与非线性参数之间的依赖关系. 这为更深入认识费米气体的基本属性提供了理论基础.     

费米超流气体的非线性Landau-Zener 隧穿

在平均场近似下,通过对相平面和不动点的分析, 研究了非线性两能级系统中费米超流气体的Landau-Zener 隧穿现象. 研究发现,费米子间的相互作用能够显著地影响量子隧穿. 当相互作用参数c小于临界值c^*时,在绝热极限下隧穿仍然满足量子绝热定理, 而大于这一临界值时,量子绝热定理不再满足. 最后通过和线性情况比较,得到了c*时隧穿率与扫描速率间满足的指数关系.     

Fermi超流气体在unitarity区域和Bose-Einstein 凝聚区域的自俘获现象研究

在平均场理论和两模近似下,通过观察布居数差随时间的演化, 以及布居数差的平均随非线性相互作用参数的变化, 研究了对称双势阱以及势阱间高频调制时Fermi超流气体在unitarity区域和Bose-Einstein凝聚区域的自俘获现象. 给出了出现自俘获现象的边界条件;发现高频调制在一定调制范围内使自俘获现象更容易实现. 最后研究了初值对自俘获的影响, 发现初值的绝对值|s(0)|的增加更有利于自俘获的实现.     

修正KP方程及其孤波解的稳定性

采用约化摄动法, 得到描述无磁场等离子体中离子声波传播的modified Kadomtsev- Petviashvili(mKP) 方程, 构造有限差分格式对mKP方程的一类特殊孤立波解的稳定性进行数值研究. 数值结果表明: 在两种特殊情形的初始扰动下, 该孤立波均不稳定.     

费米-费米散射长度对费米超流气体在幺正极限区域的隧穿现象影响

运用双势阱模型通过调节费米-费米散射长度研究了超流费米气体在幺正极限区域的隧穿现象. 研究发现费米-费米散射长度对量子隧穿效应有显著的影响. 在确定的区域, 可以得到在双势阱中完全的量子隧穿现象, 而在另一些区域, 这种隧穿就完全消失. 由于在实验室中超流费米气体的散射长度是可以调节的, 所以在实验上可以实现通过调节散射长度来控制超流费米气体的宏观隧穿现象.     

Effects of periodic modulation on the nonlinear Landau--Zener tunneling

We study the Landau-Zener tunneling of a nonlinear two-level system by applying a periodic modulation on its energy bias. We find that the two levels are splitting at the zero points of the zero order Bessel function for high-frequency modulation. Moreover, we obtain the effective coupling constant between two levels at the zero points of the zero order Bessel function by calculating the final tunneling probability at these points. It seems that the effective coupling constant can be regarded as the approximation of the higher order Bessel function at these points. For the low-frequency modulation, we find that the final tunneling probability is a function of the interaction strength. For the weak inter-level coupling case, we find that the final tunneling probability is more disordered as the interaction strength becomes larger.     

Envelope solitary waves and their reflection and transmission due to impurities in a granular material

A nonlinear Schrdinger equation in one-dimensional bead chain is first obtained and an envelope solitary wave of the system is verified numerically in this system. The reflection and the transmission of an incident envelope solitary wave due to impurities has also been investigated. It is found that the magnitudes of both the reflection and the transmission not only depend on the characters of impurity materials, the wave number, the incident wave amplitude, but also on the impurity number. This can be used to detect the character and the number of the impurity materials in the bead chain by measuring the reflection and the transmission of an incident pulse.     

The effect of s-wave scattering length on self-trapping and tunneling phenomena of Fermi gases in one-dimensional accelerating optical lattices

We investigate the tunneling dynamics of the Fermi gases in an optical lattice in the Bose–Einstein condensation(BEC) regime. The three critical scattering lengths and the system energies are found in different cases of Josephson oscillation(JO), oscillating-phase-type self-trapping(OPTST), running-phase-type self-trapping(RPTST), and self-trapping(ST). It is found that the s-wave scattering lengths have a crucial role on the tunneling dynamics. By adjusting the scattering length in the adiabatic condition, the transition probability changes with the adiabatic periodicity and a rectangular periodic pattern emerges. The periodicity of the rectangular wave depends on the system parameters such as the periodicity of the adjustable parameter, the s-wave scattering length.