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;
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.
Received: 07 July 1999
Accepted manuscript online:
PACS:
64.70.Rh
(Commensurate-incommensurate transitions)
Fund: 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).
Cite this article:
Xu Hai-bo (许海波), Xu Ai-guo (许爱国), Wang Guang-rui (王光瑞), Chen Shi-gang (陈式刚) STUDY ON ONE-DIMENSIONAL CI PHASE TRANSITION WITH TRIPLE-WELL INTERACTIONS 2000 Chinese Physics 9 42
STRUCTURE AND PROPERTIES OF THE La-DOPED Bi-2201 SYSTEM MAO ZHI-QIANG (毛志强), YANG LI (杨丽), FAN CHENG-GAO (范成高), WANG NAN-LIN (王楠林), YAO ZHEN (姚震), WANG YU (王瑜), JI MING-RONG (季明荣), ZHANG YU-HENG (张裕恒). Chin. Phys. B, 1993, 2(8): 591-603.
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