Frenkel-Kontorova模型中垫底势对最大静摩擦力的影响  

Effect of the substrate potential on the static friction force in the Frenkel-Kontorova model

作　　者：李晓礼[1] 刘锋[1] 林麦麦[1] 陈建敏[2] 段文山[1] 

机构地区：[1]西北师范大学物理与电子工程学院,兰州730070 [2]固体润滑国家重点实验室,中国科学院兰州化学物理研究所,兰州720000

出　　处：《物理学报》2010年第4期2589-2594,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10875098,50575217,50421502);西北师范大学科技创新工程基金(批准号:NWNU-KJCXGC-03-48,NWNU-KJCXGC-03-17)资助的课题~~

摘　　要：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.By using the one-dimensional Frenkel-Kontorova（FK） model,we study the maximum static friction force between the two surface layers which are in contact.The relation between the substrate potential and the static friction force is studied in this paper.The effect of parameters of the upper layer such as the elastic coefficient K on the static friction force are also investigated.Results are obtained for three cases for which the ratio of the atomic distance to the period of potential field is commensurate,or equal to the golden mean,or the spiral mean respectively.The results show that both the form of the substrate potential and the commensurability have sigificant effect on the static friction force.

关 键 词：FRENKEL-KONTOROVA模型 静摩擦力 

分 类 号：O313.5[理学—一般力学与力学基础]