17 citations · 17 across the 4 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…
Transition to thermal equilibrium in a deformed crystal
Anton M. Krivtsov, Andrey S. Murachev
An adiabatic transition between two equilibrium states corresponding to different stiffnesses in an infinite chain of particles is studied. Initially, the chain particles have rand…
Thermal equilibration in a one-dimensional damped harmonic crystal
Serge N. Gavrilov, Anton M. Krivtsov
The features for the unsteady process of thermal equilibration ("the fast motions") in a one-dimensional harmonic crystal lying in a viscous environment (e.g., a gas) are under inv…
Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source
Serge N. Gavrilov, Anton M. Krivtsov
We consider heat transfer in an infinite two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a heat source. The basic equations for the p…
Thermal echo in a finite one-dimensional harmonic crystal
Andrey S. Murachev, Anton M. Krivtsov, Denis V. Tsvetkov
An instant homogeneous thermal perturbation in the finite harmonic one-dimensional crystal is studied. Previously it was shown that for the same problem in the infinite crystal the…
Change of entropy for the one-dimensional ballistic heat equation: Sinusoidal initial perturbation
Aleksei A. Sokolov, Anton M. Krivtsov, Wolfgang H. Müller +1
This work presents the thermodynamical analysis of the ballistic heat equation from the viewpoint of two approaches: Classical Irreversible Thermodynamics (CIT) and Extended Irreve…