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We analyze numerically thermal conductivity of graphene nanoribbons with perfect and rough edges. We demonstrate that edge roughness can suppress thermal conductivity by two orders of magnitude. This effect is associated with the edge-induced energy localization and suppression of the phonon transport, and it becomes more pronounced for longer nanoribbons… (More)

- A V Savin, Y Zolotaryuk, J C Eilbeck
- 1999

We study moving topological solitons (kinks and antikinks) in the nonlinear Klein-Gordon chain. These solitons are shown to exist with both monotonic (non-oscillating) and oscillating asymptotics (tails). Using the pseudo-spectral method, the (anti)kink solutions with oscillating background (so-called nanopterons) are found as travelling waves of permanent… (More)

We study numerically the thermal conductivity of single-walled carbon nanotubes for the cases of an isolated nanotube and a nanotube interacting with a substrate. We employ two different numerical methods: ͑i͒ direct modeling of the heat transfer by molecular-dynamics simulations and ͑ii͒ analysis of the equilibrium dynamics by means of the Green-Kubo… (More)

We study vibrational states localized at the edges of graphene nanoribbons. Such surface oscillations can be considered as a phonon analog of Tamm states in the electronic theory. We consider both armchair and zigzag graphene stripes and demonstrate that surface modes correspond to phonons localized at the edges of the graphene nanoribbon, and they can be… (More)

- A V Savin, Y S Kivshar
- 2010

– We demonstrate numerically that armchair graphene nanoribbons can support vibrational localized states in the form of surface solitons. Such localized states appear through self-localization of the vibrational energy along the edge of the graphene nanoribbon, and they decay rapidly inside the structure. We find five types of such solitary waves including… (More)

We study numerically small-amplitude oscillations in capped single-walled carbon nanotubes and predict the existence of surface modes localized at capped tips of the nanotubes. These modes are similar to the surface Tamm states found in solids and optics at the edges of truncated lattices. It is well established that a special class of spatially localized… (More)

: We present molecular dynamics simulation of phonon thermal conductivity of semiconductor nanoribbons with an account for phonon quantum statistics. In our semiquantum molecular dynamics simulation, dynamics of the system is described with the use of classical Newtonian equations of motion where the effect of phonon quantum statistics is introduced through… (More)

We study the motion of C₆₀ fullerene molecules and short-length carbon nanotubes on graphene nanoribbons. We reveal that the character of the motion of C₆₀ depends on temperature: for T < 150 K the main type of motion is sliding along the surface, but for higher temperatures the sliding is replaced by rocking and rolling. Modeling of the buckyball with an… (More)

We study the dynamics of nanoclusters composed of C 60 fullerene molecules. We reveal that such composite nanostructures can support long-lived strongly localized nonlinear modes, which resemble discrete breathers in simple nonlinear lattices. In these localized modes, the vibrational energy density is localized predominantly at one of the C 60 molecules,… (More)

- Sergey V Dmitriev, Julia A Baimova, Alexander V Savin, Yuri S Kivshar, J A Baimova
- 2011

We study the dispersion characteristics of strained graphene using many-body interatomic potentials and find: (i) borders of the structural stability of a flat graphene in the three-dimensional space of the strain components (e xx , e yy , e xy); (ii) sound velocities of strained graphene; and (iii) phonon density of states (DOS) of strained graphene. The… (More)