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- A. V. Savin, 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 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)

- Alexander V Savin, Mikhail A Mazo, Irina P Kikot, Leonid I Manevitch, Alexey V Onufriev
- Physical review. B, Condensed matter and…
- 2011

Thermal conductivity of isolated single molecule DNA fragments is of importance for nanotechnology, but has not yet been measured experimentally. Theoretical estimates based on simplified (1D) models predict anomalously high thermal conductivity. To investigate thermal properties of single molecule DNA we have developed a 3D coarse-grained (CG) model that… (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)

- Alexander V Savin, Irina P Kikot, Mikhail A Mazo, Alexey V Onufriev
- Proceedings of the National Academy of Sciences…
- 2013

Although stretching of most polymer chains leads to rather featureless force-extension diagrams, some, notably DNA, exhibit nontrivial behavior with a distinct plateau region. Here, we propose a unified theory that connects force-extension characteristics of the polymer chain with the convexity properties of the extension energy profile of its individual… (More)

- L V Yakushevich, A V Savin, L I Manevitch
- Physical review. E, Statistical, nonlinear, and…
- 2002

Dynamics of topological solitons describing open states in the DNA double helix are studied in the framework of a model that takes into account asymmetry of the helix. It is shown that three types of topological solitons can occur in the DNA double chain. Interaction between the solitons, their interactions with the chain inhomogeneities, and stability of… (More)

- Alexander V Savin, Yuriy A Kosevich
- Physical review. E, Statistical, nonlinear, and…
- 2014

We provide molecular-dynamics simulation of heat transport in one-dimensional molecular chains with different interparticle pair potentials. We show that the thermal conductivity is finite in the thermodynamic limit in chains with the potentials that allow for bond dissociation. The Lennard-Jones, Morse, and Coulomb potentials are such potentials. The… (More)

- Sahin Buyukdagli, Alexander V Savin, Bambi Hu
- Physical review. E, Statistical, nonlinear, and…
- 2008

We propose a method for computing the temperature dependence of the heat capacity in complex molecular systems. The proposed scheme is based on the use of the Langevin equation with low-frequency color noise. We obtain the temperature dependence of the correlation time of random noises, which enables us to model the partial thermalization of high-frequency… (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)

- Yu A Kosevich, L I Manevitch, A V Savin
- Physical review. E, Statistical, nonlinear, and…
- 2008

We present analytical and numerical studies of the phase-coherent dynamics of intrinsically localized excitations (breathers) in a system of two weakly coupled nonlinear oscillator chains. We show that there are two qualitatively different dynamical regimes of the coupled breathers, either immovable or slowly moving: the periodic transverse translation… (More)