55 citations · 388 across the 19 of their papers we have counts for
19 papers
Equilibration of sinusoidal modulation of temperature in linear and nonlinear chains
Elena A. Korznikova, Vitaly A. Kuzkin, Anton M. Krivtsov +4
The equilibration of sinusoidally modulated distribution of the kinetic temperature is analyzed in the -Fermi-Pasta-Ulam-Tsingou chain with different degrees of nonlinearity and…
Ballistic resonance and thermalization in Fermi-Pasta-Ulam-Tsingou chain at finite temperature
Vitaly A. Kuzkin, Anton M. Krivtsov
We study conversion of thermal energy to mechanical energy and vice versa in -Fermi-Pasta-Ulam-Tsingou~(FPUT) chain with spatially sinusoidal profile of initial temperature. We…
Effect of discrete breathers on macroscopic properties of the Fermi-Pasta-Ulam chain
Elena A. Korznikova, Alina Y. Morkina, Mohit Singh +5
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…
Approach to thermal equilibrium in harmonic crystals with polyatomic lattice
Vitaly A. Kuzkin
We study transient thermal processes in infinite harmonic crystals with complex (polyatomic) lattice. Initially particles have zero displacements and random velocities such that di…
Creating anomalous Floquet Chern insulators with magnetic quantum walks
Muhammad Sajid, János K. Asbóth, Dieter Meschede +2
We propose a realistic scheme to construct anomalous Floquet Chern topological insulators using spin-1/2 particles carrying out a discrete-time quantum walk in a two-dimensional la…
Discrete breathers assist energy transfer to ac driven nonlinear chains
Danial Saadatmand, Daxing Xiong, Vitaly A. Kuzkin +3
One-dimensional chain of pointwise particles harmonically coupled with nearest neighbors and placed in six-order polynomial on-site potentials is considered. Power of the energy so…
Temperature oscillations in harmonic triangular lattice with random initial velocities
V. A. Tsaplin, V. A. Kuzkin
Transition to thermal equilibrium in a uniformly heated two-dimensional harmonic triangular lattice with nearest neighbor interactions is investigated. Initial conditions, typical…
Discrete and Continuum Thermomechanics
Anton M. Krivtsov, Vitaly A. Kuzkin
In the present chapter, we discuss an approach for transition from discrete to continuum description of thermomechanical behavior of solids. The transition is carried out for sever…
An asymptotic formula for displacement field in triangular lattice with vacancy
V. A. Tsaplin, V. A. Kuzkin
A harmonic triangular lattice with a vacancy under imposed volumetric strain is considered. Simple asymptotic formula for the displacement field is derived. The formula has reasona…
Fast and slow thermal processes in harmonic scalar lattices
Vitaly A. Kuzkin, Anton M. Krivtsov
An approach for analytical description of thermal processes in harmonic lattices is presented. We cover longitudinal and transverse vibrations of chains and out-of-plane vibrations…
High-frequency thermal processes in harmonic crystals
Vitaly A. Kuzkin, Anton M. Krivtsov
We consider two high-frequency thermal processes in uniformly heated harmonic crystals relaxing towards equilibrium: (i) equilibration of kinetic and potential energies and (ii) re…
The maximum force in a column under constant speed compression
Vitaly A. Kuzkin, Mona M. Dannert
Dynamic buckling of an elastic column under compression at constant speed is investigated assuming the first-mode buckling. Two cases are considered: (i) an imperfect column (Hoff'…
Structural model for the dynamic buckling of a column under constant rate compression
Vitaly A. Kuzkin
Dynamic buckling behavior of a column (rod, beam) under constant rate compression is considered. The buckling is caused by prescribed motion of column ends toward each other with c…
Enhanced vector-based model for elastic bonds in solids
Vitaly A. Kuzkin, Anton M. Krivtsov
A model (further referred to as the enhanced vector-based model or EVM) for elastic bonds in solids, composed of bonded particles is presented. The model can be applied for a descr…
On angular momentum balance for particle systems with periodic boundary conditions
Vitaly A. Kuzkin
The well-known issue with the absence of conservation of angular momentum in classical particle systems with periodic boundary conditions is addressed. It is shown that conventiona…
Computer simulation of effective viscosity of fluid-proppant mixture used in hydraulic fracturing
Vitaly A. Kuzkin, Anton M. Krivtsov, Aleksandr M. Linkov
The paper presents results of numerical experiments performed to evaluate the effective viscosity of a fluid-proppant mixture, used in hydraulic fracturing. The results, obtained b…
Vector-based model of elastic bonds for DEM simulation of solids
Vitaly A. Kuzkin, Igor E. Asonov
A new model for computer simulation of solids, composed of bonded rigid body particles, is proposed. Vectors rigidly connected with particles are used for description of deformatio…
Equivalent thermo-mechanical parameters for perfect crystals
V. A. Kuzkin, A. M. Krivtsov
Thermo-elastic behavior of perfect single crystal is considered. The crystal is represented as a set of interacting particles (atoms). The approach for determination of equivalent…
Comment on the calculation of forces for multibody interatomic potentials
Vitaly A. Kuzkin
The system of particles interacting via multibody interatomic potential of general form is considered. Possible variants of partition of the total force acting on a single particle…