中国物理B ›› 2000, Vol. 9 ›› Issue (1): 42-48.doi: 10.1088/1009-1963/9/1/009

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STUDY ON ONE-DIMENSIONAL CI PHASE TRANSITION WITH TRIPLE-WELL INTERACTIONS

王光瑞1, 陈式刚1, 许爱国2, 许海波3   

  1. (1)Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; (2)Department of Physics, Beijing Normal University, Beijing 100875, China; (3)Graduate School, China Academy of Engineering Physics, Beijing 100088, China; Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • 收稿日期:1999-07-07 出版日期:2000-01-15 发布日期:2005-06-10
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 19774049) and Science Foundation of China Academy of Engineering Physics (Grant Nos. 970116 and 980112).

STUDY ON ONE-DIMENSIONAL CI PHASE TRANSITION WITH TRIPLE-WELL INTERACTIONS

Xu Hai-bo (许海波)ab, Xu Ai-guo (许爱国)c, Wang Guang-rui (王光瑞)b, Chen Shi-gang (陈式刚)b   

  1. a Graduate School, China Academy of Engineering Physics, Beijing 100088, China b Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;  c Department of Physics, Beijing Normal University, Beijing 100875, China;
  • Received:1999-07-07 Online:2000-01-15 Published:2005-06-10
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 19774049) and Science Foundation of China Academy of Engineering Physics (Grant Nos. 970116 and 980112).

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摘要： To study modulated structures and commensurate-incommensurate (CI) transitions, we generalize the Frenkel-Kontorova model to the Frenkel-Kontorova-Devonshire model where the interparticle interactions are the triple-well potential. By use of the so called effective potential method, numerical solutions of the eigenvalue problem are used to work out the exact phase diagrams of W, a triple-well potential. According to the winding number Ω and the rotation number ω, we analyze the periodicity of the phase diagram and find some complex but regular phase structures. These new structures result from the triple-well interatomic interactions. A series of new transition behaviors enrich the traditional understanding on the periodicity of CI transitions.

Abstract: To study modulated structures and commensurate-incommensurate (CI) transitions, we generalize the Frenkel-Kontorova model to the Frenkel-Kontorova-Devonshire model where the interparticle interactions are the triple-well potential. By use of the so called effective potential method, numerical solutions of the eigenvalue problem are used to work out the exact phase diagrams of W, a triple-well potential. According to the winding number $\varOmega$ and the rotation number $\omega$, we analyze the periodicity of the phase diagram and find some complex but regular phase structures. These new structures result from the triple-well interatomic interactions. A series of new transition behaviors enrich the traditional understanding on the periodicity of CI transitions.

中图分类号:  (Commensurate-incommensurate transitions)

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