STUDY ON ONE-DIMENSIONAL CI PHASE TRANSITION WITH TRIPLE-WELL INTERACTIONS |
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| Authors: | Xu Hai-bo Xu Ai-guo Wang Guang-rui Chen Shi-gang |
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| Affiliation: | Graduate School, China Academy of Engineering Physics, Beijing 100088, China ; Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; Department of Physics, Beijing Normal University, Beijing 100875, China; |
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| 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 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. |
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