Numerical modeling of 3D discrete breathers in fcc Ni

I.P. Lobzenko1, P.V. Lobzenko2, A.M. Bayazitov3, A.P. Chetverikov4, R.I. Machmutova5, A.A. Kistanov6,7
1Institute of Molecule and Crystal Physics, Ufa Scientific Center, Russian Academy of Sciences, Ufa, 450054 Russia
2North-Caucasian branch of Moscow technical university of communications and informatics, 62 Serafimovicha Street, 344002, Rostov on Don, Russia
3Bashkir State University, 32 Z. Validi Street, 450076, Ufa, Russia
4Saratov State University, 83 Astrakhanskaya Street, 410012, Saratov, Russia
5Bashkir State Agrarian University, 34 50 let Oktyabrya Street, 450001, Ufa, Russia
6Institute for Metals Superplasticity Problems of RUS, 39 Khalturin Street, 450001 Ufa, Russia
7Nanyang Technological University, 50 Nanyang Avenue, 639798 Singapore
Abstract
Molecular dynamics study of discrete breathers in fcc Ni crystal is undertaken. The initial conditions for the excitation of breathers are constructed by imposing a spherically symmetric function, exponentially decreasing with the distance from the center of the sphere, on the delocalized vibrational normal mode, the frequency of which lies above the phonon spectrum of the crystal. This method allows to obtain a three-dimensional discrete breather of a new type, in the core of which the atoms oscillate like in the normal mode, and the amplitude of these oscillations decreases exponentially with distance from the center of the breather. A detailed discussion of the properties of the normal mode on which the breather is built is presented. It is shown that in the two extreme cases, constant volume and zero pressure, the mode shows hard type of non-linearity in a wide range of amplitudes, which ensures the hard type of the nonlinearity of the breather and its frequency lying above the phonon spectrum of the crystal. The spatial localization parameter of the breather is determined as the function of breather amplitude so that the breather life time is maximal. Found discrete breathers have relatively long lifetime of the order of 10 ps, which substantially exceeds the lifetime of thermal fluctuations.The proof of the existence of three-dimensional breathers in fcc Ni, presented in this paper, is an interesting and important result in the theory of discrete breathers.
Received: 02 November 2016   Accepted: 14 November 2016
Views: 59   Downloads: 22
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