Explanipedia

Dynamics of a localized ring nonlinear wave in a carbon nanotube Open

Olga E. Glukhova, A. P. Chetverikov, Vladislav V. Shunaev · 2022

The propagation of nonlinear localized soliton-like super-acoustic longitudinal waves in a carbon nanotube was explored by the molecular dynamics modeling. Ring waves were excited by pulsed action on all the atoms of the edge zigzag layer …

About electron transfer over long distances with tunable sub/supersonic velocities Open

Manuel G. Velárde, A. P. Chetverikov, Jean‐Pierre Launay, W. Ebeling, E. G. Wilson · 2020

Provided in this paper is a theory of long-range electron transfer with near sound (supersonic or subsonic) velocity along one-dimensional crystal lattices. The theory represents the development of an earlier work by introducing Marcus for…

Investigation of DNA Breather Dynamics in A Model with Non-Local Inter-Site Interaction Open

E.I. Geraskin, В.Д. Лахно, A. P. Chetverikov, A.S. Shigaev · 2020

A variant of the Peyrard-Bishop-Dauxois model is proposed, which takes account of the partially delocalized nature of DNA stacking interactions. It is shown that the nonlocal nature of the inter-site potential can lead to an increase in th…

Мобильные диссипативные бризеры в цепочке нелинейных осцилляторов Open

Konstantin Sergeev, E. M. Elizarov, A. P. Chetverikov · 2020

In a numerical experiment, it was found that in a chain of Raleigh oscillators with a nonlinear connection between them, at least three localized stationary breathers modes may exist: non-mobile, "slow" and "fast" dissipative breathers. Th…

Dynamics and Stability of Subsonic Crowdion Clusters in 2D Morse Crystal Open

Elena A. Korznikova, Igor A. Shepelev, A. P. Chetverikov, Sergey V. Dmitriev, S. Yu. Fomin , et al. · 2018

Recently, the concept of supersonic N-crowdions was offered. In molecular dynamics simulations, they can be excited by initial kick of N neighboring atoms located in one close-packed atomic row along this row. In the present study, in 2D M…

Subsonic <i>M, N-</i>crowdions in 2D Morse crystal Open

Elena A. Korznikova, Igor A. Shepelev, A. P. Chetverikov, S. Yu. Fomin, Sergey V. Dmitriev · 2018

Crowdion is a zero-dimensional defect of the crystal lattice in the form of an extra atom in a close-packed atomic row. Crowdions can be at rest or move with subsonic or supersonic velocity. A moving crowdion transports the mass of one ato…

Scenarios of mass transfer in fcc copper: the role of point defects Open

Ayrat M. Bayazitov, Elena A. Korznikova, Igor A. Shepelev, A. P. Chetverikov, С. Х. Хадиуллин , et al. · 2018

It is well known that mass transfer in crystalline materials in most cases is assisted by the motion of point defects. Interstitial atoms are highly mobile, because they have relatively small migration energy as compared to vacancies. Crow…

Evolution of electron energy under trapping by mobile discrete breathers in DNA with fixed ends Open

В.Д. Лахно, Konstantin Sergeev, A. P. Chetverikov · 2018

Эволюция энергии электрона в процессах его захвата мобильным дискретным бризером

Trapping and transport of charges in DNA by mobile discrete breathers Open

A. P. Chetverikov, Konstantin Sergeev, В.Д. Лахно · 2018

Захват и транспорт зарядов в ДНК мобильными дискретными бризерамиЧетвериков А.П. 1,2

Trapping and transport of charges in DNA by mobile discrete breathers Open

A. P. Chetverikov, Konstantin Sergeev, В.Д. Лахно · 2018

Numerical simulation of trapping and transport of a charged particle (electron or hole) by mobile discrete breathes (mobile DB, MDB) in DNA molecule has been provided. Mobile DBs have been excited by disturbance of displacements or velocit…

Stationary Modes and Localized Metastable States in a Triangular Lattice of Active Particles Open

Konstantin Sergeev, Sergey V. Dmitriev, Elena A. Korznikova, A. P. Chetverikov · 2018

The dynamics of a triangular lattice consisting of active particles is studied.Particles with nonlinear friction interact via nonlinear forces of Morse potential.Nonlinear friction slows down fast particles and accelerates slow ones.Each p…

Ionization equilibrium between electrons and holes in bilayers and adiabatic approximations Open

A. P. Chetverikov, W. Ebeling, Manuel G. Velárde · 2018

Highly Enhanced Transport by Supersonic <i>N</i>‐Crowdions (Phys. Status Solidi RRL 12/2017) Open

Sergey V. Dmitriev, N. N. Medvedev, A. P. Chetverikov, Kun Zhou, Manuel G. Velárde · 2017

An interstitial atom placed in a close-packed atomic row of a crystal is called “crowdion”. Such defects are highly mobile, they can move along the row in a random-walk manner under thermal fluctuations or they can propagate ballistically …

The Excitation of Mobile Discrete Breathers in DNA by Initial Disturbance of Displacements or Velocities of A Few of Adjacent Nucleotide Pairs Open

A. P. Chetverikov, A. P. Chetverikov · 2017

Exitation of mobile discrete breathers in DNA initiated by disturbance of displacements or velocities in a small group of adjacent nucleotide pairs situated near the one of fixed ends of the molecule has been studied in a frame of the Peyr…

Long-Range Electron Transport Donor-Acceptor in Nonlinear Lattices Open

A. P. Chetverikov, W. Ebeling, Manuel G. Velárde · 2016

We study here several simple models of the electron transfer (ET) in a one-dimensional nonlinear lattice between a donor and an acceptor and propose a new fast mechanism of electron surfing on soliton-like excitations along the lattice. Th…

Metastable states in the Morse–Rayleigh chain Open

Konstantin Sergeev, A. P. Chetverikov · 2016

Метастабильные возбужденияв цепочке Морзе -Рэлея К. С. Сергеев, А

Numerical modeling of 3D discrete breathers in fcc Ni Open

Ivan Lobzenko, P. V. Lobzenko, Ayrat M. Bayazitov, A. P. Chetverikov, R. I. Machmutova , et al. · 2016

Методом молекулярной динамики исследуются дискретные бризеры в ГЦК кристалле Ni. Задание начальных условий для возбуждения бризера основано на наложении сферически симметричной, экспоненциально убывающей с удалением от центра сферы функции…

Collisions of quasi-one-dimensional solitons in triangular Morse lattice Open

A. P. Chetverikov, W. Ebeling, Manuel G. Velárde · 2016

We study by means of numerical simulation collisions of quasi-one-dimensional solitonic excitations in a 2D lattice of particles interacting via Morse potential forces. Local mobile excitations arise as a result of strong kicks for one or …

Wave motions along lattices with nonlinear on-site and inter-site potentials. Cooperation and/or competition leading to lattice solitons and/or discrete breathers; pp. 396–404 Open

Manuel G. Velárde, A. P. Chetverikov, W. Ebeling, Sergey V. Dmitriev, V D Lakhno · 2015

We consider the wave dynamics of a one-dimensional lattice where both on-site and inter-site vibrations, coupled together, are governed by Morse interactions. We focus attention on the onset of lattice solitons and discrete breathers (DBs,…

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