55 citations · 388 across the 19 of their papers we have counts for
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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…
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…
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…
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…