Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (3)
- Authors
- Dobronets, Boris S.; Filonov, Alexsandr N.
- Contact information
- Dobronets, Boris S.: Institute of Space and Information Technology, Siberian Federal University, Kirensky, 26, Krasnoyarsk, 660074 Russia; e-mail: ; Filonov, Alexsandr N.: Institute of Space and Information Technology, Siberian Federal University, Kirensky, 26, Krasnoyarsk, 660074 Russia; e-mail: anfi
- Keywords
- Frenkel-Kontorova model; periods incommensurate; discrete finite chain
- Abstract
An elastic periodic chain of atoms in periodic potential has been considered. Numerical simulations revealed the existence of stepwise behavior of the ground state graph near the origin. Such behavior is not observed in the continuous medium approximation. The step height is equal to one-half the classical frequency.
- Pages
- 279-282
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/9882
Journal of Siberian Federal University. Mathematics & Physics / Numerical Simulation of the Ground-state of Elastic-periodic Chain of Atoms in Periodic Potential of Arbitrary Shape
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