Boris S. Dobronets, Alexsandr N. Filonov, “Numerical Simulation of the Ground-state of Elastic-periodic Chain of Atoms in Periodic Potential of Arbitrary Shape”, J. Sib. Fed. Univ. Math. Phys., 2013, Volume 6, Issue 3,Pages <nobr>279

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Numerical Simulation of the Ground-state of Elastic-periodic Chain of Atoms in Periodic Potential of Arbitrary Shape

Boris S. Dobronets, Alexsandr N. Filonov

Institute of Space and Information Technology, Siberian Federal University, Krasnoyarsk, Russia

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.

Keywords: Frenkel–Kontorova model, periods incommensurate, discrete finite chain.

UDC: 517.2

Received: 10.12.2012
Received in revised form: 10.01.2013
Accepted: 10.03.2013

Language: English