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Article
Interaction of edge dislocations with voids in tungsten
Tungsten is widely used as a material capable of withstanding extreme operating conditions and is one of the candidates for use in fusion and Generation IV fission reactors. Atomistic modelling implemented to ...
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Article
Effect of Discrete Breathers on the Specific Heat of a Nonlinear Chain
A nonlinear chain with sixth-order polynomial on-site potential is used to analyze the evolution of the total-to-kinetic-energy ratio during development of modulational instability of extended nonlinear vibrat...
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Article
Delocalized nonlinear vibrational modes of triangular lattices
All possible one- and two-component delocalized nonlinear vibrational modes (DNVMs) in triangular lattice are analyzed. DNVMs are obtained considering solely upon the symmetry of the triangular lattice, and th...
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Article
Energy exchange in M-crowdion clusters in 2D Morse lattice
Dynamics of new class of M-solitons and M-crowdions, here M = 3 is the number of adjacent close-packed atomic rows where the atoms move, are studied in two-dimensional triangular Morse lattice using classical mo...
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Article
Effect of discrete breathers on macroscopic properties of the Fermi-Pasta-Ulam chain
The effect of discrete breathers (DBs) on macroscopic properties of the Fermi-Pasta-Ulam chain with symmetric and asymmetric potentials is investigated. The total to kinetic energy ratio (related to specific ...
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Article
Linking tracks in mica crystals with phase transitions in a bistable lattice
Since the middle of the last century, scientific research has been conducted to explain the nature of the tracks visible to the naked eye in mica muscovite crystals. In the present work, an attempt to link th...
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Article
Stability of delocalized nonlinear vibrational modes in graphene lattice
Crystal lattices support delocalized nonlinear vibrational modes (DNVMs), which are determined solely by the lattice point symmetry, and are exact solutions of the equations of atomic motion for any interatom...
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Chapter
Effects of Discrete Breathers on Thermal Transport in the \(\phi ^4\) Lattice
In this chapter we discuss thermal transport in the \(\phi ^4\) lattice which bears the feature of nonconserved momentum, and t...
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Chapter
Discrete Variants of the \(\phi ^4\) Model: Exceptional Discretizations, Conservation Laws and Related Topics
Exceptional dicretizations of the \(\phi ^4\) model are reviewed, corresponding conservation laws are reported, and the propert...
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Article
Multisoliton Dynamics in the Sine-Gordon Model with Two Point Impurities
Collective variables method is used to derive a set of differential equations to describe the dynamics of a kink in the sine-Gordon model with two identical point impurities taking dam** into account. It is ...
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Article
Effects of substrate and environmental adsorbates on the electronic properties and structural stability of antimonene
The structural stability of some two-dimensional materials at ambient conditions is obviously attributed to their low sensitivity to exposure of humidity and air. Recently exfoliated antimonene, differently fr...
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Article
Interaction of longitudinal phonons with discrete breather in strained graphene
We numerically analyze the interaction of small-amplitude phonon waves with standing gap discrete breather (DB) in strained graphene. To make the system support gap DB, strain is applied to create a gap in th...
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Article
Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions
In our recent study the maximal values of kinetic and potential energy densities that can be achieved in the collisions of N slow kinks in the sine-Gordon model were calculated analytically (for N = 1, 2, and 3)...
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Chapter
Nonlinear Excitations in Graphene and Other Carbon Nano-Polymorphs
This review summarizes recent developments in the numerical investigations of nonlinear dynamics of graphene, carbon nanotubes, and fullerenes. Discrete breathers (DBs) or, synonymously, intrinsic localized mo...
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Article
Open AccessMulti-kink collisions in the ϕ 6 model
We study simultaneous collisions of two, three, and four kinks and antikinks of the ϕ 6 model at the same spatial point. Unlike the ϕ 4 kinks, the ϕ
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Article
Transverse discrete breathers in unstrained graphene
Discrete breathers (DB) are spatially localized vibrational modes of large amplitude in defect-free nonlinear lattices. The search for DBs in graphene is of high importance, taking into account that this one ...
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Article
Instability of vibrational modes in hexagonal lattice
The phenomenon of modulational instability is investigated for all four delocalized short-wave vibrational modes recently found for the two-dimensional hexagonal lattice with the help of a group-theoretic app...
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Article
From solitons to discrete breathers
The excitation of solitons and discrete breathers (pinned or otherwise, also known as intrinsic localized modes, DB/ILM) in a one-dimensional lattice, also denoted as a chain, is considered when both on-site ...
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Article
Discrete breathers in alpha-uranium
Uranium is an important radioactive material used in the field of nuclear energy and it is interesting from the scientific point of view because it possesses unique structure and properties. There exist severa...
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Chapter
Moving Discrete Breathers in 2D and 3D Crystals
Discrete breathers (DB), also known as intrinsic localized modes, are spatially localized large-amplitude vibrational modes in defect-free anharmonic lattices. Crystals can be regarded as anharmonic lattices a...
