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国家自然科学基金(10875098)

作品数:23 被引量:20H指数:3
相关作者:段文山孙建安贾伟吴广智陈建敏更多>>
相关机构:西北师范大学中国科学院东莞理工学院更多>>
发文基金:国家自然科学基金国家重点基础研究发展计划教育部科学技术研究重点项目更多>>
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23 条 记 录,以下是 1-10
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Anisotropic character of atoms in a two-dimensional Frenkel-Kontorova model
2011年
The dynamics of a certain density of interacting atoms arranged on a two-dimensional square lattice, which is made to slide over a two-dimensional periodic substrate potential with also the quare lattice symmetry, in the presence of dissipation, by an externally applied driving force, is studied. By rotating the misfit angle θ, the dynamical behaviour displays two different tribological regimes: one is smooth, the other becomes intermittent. We comment both on the nature of the atomic dynamics in the locked-to-sliding transition, and on the dynamical states displayed during the atom motion at different values of the driving force. In tribological applications, we also investigate how the main model parameters such as the stiffness strength and the magnitude of the adhesive force affect the static friction of the system. In particular, our simulation indicates that the superlubricity will appear.
王苍龙段文山陈建敏石玉仁
关键词:NANOTRIBOLOGY
Tunneling dynamics of superfluid Fermi gas in a triple-well potential
2013年
The tunneling dynamics of superfluid Fermi gas in a triple-well potential in the unitarity regime is investigated in the present paper. The fixed points of the (0,0) mode and the (π, π) mode are given. We find that the interaction parameter U and the coupling strength k could have an extreme effect on the quantum tunneling dynamics. We also find that, in the zero mode, only Josophson oscillation appears. However, for the mode, the trapping phenomena take place. An irregular oscillation of the particle number in each well could appear by adjusting the scanning period T. It is noted that if the scanning period is less than a critical point T*, the particle number will come back to the fixed point with small oscillation, while if T 〉 T* the particle number cannot come back to the fixed point, but with irregular oscillations. The dependence of the critical point T* on the system parameter of coupling strength k is numerically given.
苟学强蒙红娟王文元段文山
Friction phenomena in a two-dimensional Frenkel-Kontorova model被引量:1
2010年
By using the molecular dynamic simulation method with a fourth-order Runge--Kutta algorithm, a two-dimensional dc- and ac-driven Frenkel--Kontorova (FK) model with a square symmetry substrate potential for a square lattice layer has been investigated in this paper. For this system, the effects of many different parameters on the average velocity and the static friction force have been studied. It is found that not only the amplitude and frequency of ac-driven force, but also the direction of the external driving force and the misfit angle between two layers have some strong influences on the static friction force. It can be concluded that the superlubricity phenomenon appears easily with a larger ac amplitude and lower ac frequency for some special direction of the external force and misfit angle.
林麦麦段文山陈建敏
一维Frenkel-Kontorova(FK)模型原子链的相变研究被引量:2
2011年
文章基于一维Frenkel-Kontorova模型,研究了边界原子的初始速度对原子链运动状态的影响,数值模拟结果表明:当vv2时,原子处于"均匀区".同时我们发现临界速度v1和v2随原子数目和垫底势高度的变化而变化.
韩秀琴姜虹石玉仁刘妍秀孙建华陈建敏段文山
关键词:相变
Effects of periodic modulation on the nonlinear Landau-Zener tunneling
2009年
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.
吴利华段文山
一种求解KdV-Burgers方程的迎风超紧致差分格式
2015年
提出了一种迎风超紧致差分格式(USCD),利用Fourier分析方法对该格式的数值特性进行了分析,并与其他的迎风差分格式和迎风紧致差分格式做了对比.结果反映出USCD具有更好的分辨率和更低的耗散.通过对Burgers方程和KdV-Burgers方程的数值模分析,进一步证实了USCD格式有更高的精度和对长时间演化问题的有效性.
孙建安郭小霞贾伟
关键词:KDV-BURGERS方程数值解
Modulational instability for a self-attractive two-component Bose-Einstein condensate
2009年
By means of the multiple-scale expansion method, the coupled nonlinear Schrgdinger equations without an explicit external potential are obtained in two-dimensional geometry for a self-attractive Bose-Einstein condensate composed of different hyperfine states. The modulational instability of two-component condensate is investigated by using a simple technique. Based on the discussion about two typical cases, the explicit expression of the growth rate for a purely growing modulational instability and the optimum stable conditions are given and analysed analytically. The results show that the modulational instability of this two-dimensional system is quite different from that in a one-dimensional system.
栗生长段文山
Frenkel-Kontorova模型中垫底势对最大静摩擦力的影响被引量:3
2010年
用一维Frenkel-Kontorova模型,对相互接触的两个单原子分子链具有相对运动趋势时所产生的最大静摩擦力进行了研究.分别在相邻原子的距离与周期势场的周期比b/a为可公度(commensurate)、黄金分割(goldenmean)、螺旋分割(spiralmean)三种情况下,描述了特殊垫底势力的振幅A与分子链静摩擦力的关系,在特殊垫底势力的作用下上层原子链弹性系数K对静摩擦力的影响.研究表明,垫底势力的形式对静摩擦力的大小有很重要的影响.
李晓礼刘锋林麦麦陈建敏段文山
关键词:FRENKEL-KONTOROVA模型静摩擦力
基底势函数的无序性对静摩擦力的影响被引量:4
2012年
在二维Frenkel-Kontorova模型中,为了更好地模拟真实的物理系统,采用高斯波的平移叠加作为基底,运用分子动力学模拟方法,讨论了有相互作用的原子平面在公度、不公度两种情况下,原子在无序基底上运动的摩擦机理,以及基底的无序对静摩擦力F_s的影响.
杨阳王苍龙段文山石玉仁陈建敏
关键词:FK模型公度
用余弦微分求积法数值求解RLW方程被引量:2
2011年
通过用余弦微分求积法(CDQM)对空间的离散,用差分法对时间的离散及Crank-Nicolson(C-N)线性化技术构造了求解Regularized Long Wave(RLW)方程的数值格式.通过算例以及与相关文献的比较,结果表明该算法精确度高,适应性强,时间复杂性好.
孙建安陶娜张涛锋颜鹏程
关键词:RLW方程数值解
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