Exact ground state of the Frenkel-Kontorova model with repeated parabolic potential .1. Basic results

Article

关键词: DEVILS STAIRCASE;    PERIODIC-ORBITS;    SYMPLECTIC MAPS;    STANDARD MAP;    TWIST MAP;    CANTORI;    TRAJECTORIES;    DYNAMICS;   

DOI  :  10.1103/PhysRevB.56.8623

来源: SCIE

【 摘 要 】

The problem of finding the exact energies and configurations for the Frenkel-Kontorova model consisting of particles in one dimension connected to their nearest neighbors by springs and placed in a periodic potential consisting of segments from parabolas of identical (positive) curvature but arbitrary height and spacing, is reduced to that of minimizing a certain convex function defined on a finite simplex.

【 授权许可】

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