Wigner-Seitz模型微观连续性分析  

Micro continuum analysis of Wigner-Seitz model

作　　者：田文超[1] 贾建援[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《物理学报》2009年第9期5930-5935,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10476019);中国博士后科学基金(批准号:2005038261);西安市应用材料创新基金(批准号:XA-AM-200802)资助的课题~~

摘　　要：针对Wigner-Seitz单元模型同微观连续介质理论体积无限小的连续性矛盾,通过比较面心立方体和体心立方体双Wigner-Seitz单元和经典Lennard-Jones双原子势函数之间引力(长程力)和斥力(短程力)的相对误差,发现当双Wigner-Seitz模型相互重合一半后,相对误差仍满足工程要求;将Wigner-Seitz模型同离散模拟法计算得到的铝单原子球-面作用力结果相比较,两者结果符合;根据Wigner-Seitz模型,建立包含黏附的数字微镜(DMD)动力方程,仿真并同试验结果比较;从而得到Wigner-Seitz模型满足微、纳技术工程分析中微观连续性要求的结论,为微、纳技术的研究提供理论基础.There is a continuum contradiction between the Wigner-Seitz model and the volume infinitesimal. By analyzing the attractive force and the repulsive force of the bcc and fcc double Wigner-Seitz model with the classical Lennard-Jones potential, the conclusion that the relative error satisfies the engineering analysis is established even if double Wigner-Seitz models superpose. By comparing the single atom Al sphere-surface force of the Wigner-Seitz model with the discrete simulation, a satisfactory result is obtained. Based on the Wigner-Seitz model, the dynamic equation of the digital micro-mirror device （DMD）, including the sticking effect, is found. The DMD simulation result is compared with the measurement result. The conclusion that the Wigner- Seitz model satisfies the micro-continuum requirement of the micro- and nano-engineering is arrivedat.

关 键 词：Wigner-Seitz模型 微观连续介质 LENNARD-JONES势 

分 类 号：O33[理学—一般力学与力学基础]