# Difference between revisions of "TC"

From Department of Theoretical and Applied Mechanics

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== Preprints == | == Preprints == | ||

− | * [[A.M. Krivtsov]], [[E.A. Podolskaya]], | + | * [[A.M. Krivtsov]], [[E.A. Podolskaya]], V.Yu. Shubina. '''Asymptotics of a thermal wave in a one-dimensional harmonic crystal.''' [http://www.ipme.ru/e-journals/MPM/ Materials Physics and Mechanics]. 2019. |

* [[A.M. Krivtsov]], [[A.S. Murachev]]. Transition to thermal equilibrium in a deformed crystal. | * [[A.M. Krivtsov]], [[A.S. Murachev]]. Transition to thermal equilibrium in a deformed crystal. | ||

* S.N. Gavrilov, [[A.M. Krivtsov]]. Thermal equilibration in a one-dimensional harmonic crystal lying in a viscous environment. | * S.N. Gavrilov, [[A.M. Krivtsov]]. Thermal equilibration in a one-dimensional harmonic crystal lying in a viscous environment. |

## Revision as of 15:29, 12 July 2019

Кафедра ТМ >**Project "Thermocrystal"**

*The project is devoted to development of analytical models of unsteady thermal processes in ultrapure crystals.*

## Contents

## Publications

- ZAM 2019: O.S. Loboda, A.M. Krivtsov, A.V. Porubov, D.V. Tsvetkov.
**Thermal processes in a one-dimensional crystal with regard for the second coordination sphere**. ZAMM. 2019, 13 p. (proofs pdf).

- CM3 2019: V.A. Kuzkin.
**Unsteady ballistic heat transport in harmonic crystals with polyatomic unit cell.**Continuum Mechanics and Thermodynamics. 2019, 26 p. (pdf).

- PR 2019: A.A. Sokolov, A.M. Krivtsov, W.H. Müller, E.N. Vilchevskaya.
**Change of entropy for one-dimensional ballistic heat equation — sinusoidal initial perturbation.**Physical Review E. 2019, Vol. 99, 042107 (abstract, pdf).

- DPG 2019: A.M. Krivtsov.
**The Ballistic Heat Equation for a One-Dimensional Harmonic Crystal.**Dynamical Processes in Generalized Continua and Structures. 2019, Vol. 103, pp. 345–358 (abstract, pdf).

- CM2 2019: S.N. Gavrilov, A.M. Krivtsov.
**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.**Continuum Mechanics and Thermodynamics. 2019, Vol. 31, 21 p. (abstract, pdf).

- IOP 2019: A.S. Murachev, A.M. Krivtsov, D.V. Tsvetkov.
**Thermal echo in a one-dimensional harmonic crystal.**Journal of Physics: Condensed Matter. 2019, Vol. 31, Num. 9. (abstract, pdf).

- CMT 2019: V.A. Kuzkin.
**Thermal equilibration in infinite harmonic crytals**. Continuum Mechanics and Thermodynamics. 2019, 23 p. (abstract, pdf).

- MPM 2018: E.A. Podolskaya, A.M. Krivtsov, D.V. Tsvetkov.
**Anomalous heat transfer in one-dimensional diatomic harmonic crystal.**Materials Physics and Mechanics. 2018, 40, pp. 172–180 (pdf).

- CMT 2018: S.N. Gavrilov, A.M. Krivtsov, D.V. Tsvetkov.
**Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply.**Continuum Mechanics and Thermodynamics. 2018, Vol. 31, pp. 255–272 (abstract, pdf)

- AMM 2018: A.M. Krivtsov, A.A. Sokolov, W.H. Müller, A.B. Freidin.
**One-Dimensional Heat Conduction and Entropy Production.**Advances in Mechanics of Microstructured Media and Structures. 2018, Vol. 87, pp. 197–214 (pdf).

- ECM 2018: A.M. Krivtsov, V.A. Kuzkin.
**Discrete and continuum thermomechanics.**Encyclopedia of Continuum Mechanics. 2018, 16 p. (pdf)

- LMA 2018: V.A. Tsaplin, V.A. Kuzkin.
**Temperature oscillations in harmonic triangular lattice with random initial velocities.**Letters on Materials. 2018, 8(1), pp. 16–20 (pdf).

- JPH 2017: V.A. Kuzkin, A.M. Krivtsov.
**Fast and slow thermal processes in harmonic scalar lattices.**2017, Journal of Physics: Condensed Matter. 2017, Vol. 29, No. 50, 14 p. (abstract, pdf).

- АR2 2017: A.M. Krivtsov.
**On heat transfer in a thermally perturbed harmonic chain.**ArXiv:1709.07924. 2017, 2 p. (abstract, pdf).

- ФММ 2017: A.A. Sokolov, A.M. Krivtsov, W.H. Müller.
**Localized heat perturbation in harmonic 1D crystals: Solutions for an equation of anomalous heat conduction.**Physical Mesomechanics. 2017, Vol. 20, No. 3, pp. 305–310 (pdf).

- ФТТ 2017: V.A. Kuzkin, A.M. Krivtsov.
**An analytical description of transient thermal processes in harmonic crystals.**Physics of the Solid State. 2017, Vol. 59, No. 5, pp. 1051–1062, pdf.

- ДАН 2017: V.A. Kuzkin, A.M. Krivtsov
**High-frequency thermal processes in harmonic crystals.**Doklady Physics. 2017, №5, pp. 529–533 (abstract, pdf).

- ICT 2016: M.B. Babenkov, A.M. Krivtsov, D.V. Tsvetkov.
**Unsteady heat conduction processes in a harmonic crystal with a substrate potential.**Proc. of XXIV ICTAM, 21-26 August 2016, Montreal, Canada, pp. 2440–2441 (pdf).

- ФММ 2016: M.B. Babenkov, A.M. Krivtsov, D.V. Tsvetkov.
**Energy oscillations in a one-dimensional harmonic crystal on an elastic substrate.**Phys. Mesomech.. 2016, 19, No. 3, pp. 282–290 (pdf).

- АRХ 2015: A.M. Krivtsov.
**On unsteady heat conduction in a harmonic crystal.**2015, ArXiv:1509.02506, 5 p. (abstract, pdf, simulation).

- ДАН 2015: A.M. Krivtsov.
**Heat transfer in infinite harmonic one dimensional crystals.**Doklady Physics. 2015, Vol. 60, No. 9, pp. 407–411 (pdf).

- ДАН 2014: A.M. Krivtsov.
**Energy Oscillations in a One-Dimensional Crystal**. Doklady Physics. 2014, Vol. 59, No. 9, pp. 427–430 (pdf).

## Additional publications

- A.A. Le-Zakharov, A.M. Krivtsov, A.V. Porubov.
**Relation between defects and crystalline thermal conduction.**Continuum Mechanics and Thermodynamics. 2019, 12 p. (proof: pdf).

- A.A. Le-Zakharov, A.M. Krivtsov.
**Molecular dynamics investigation of heat conduction in crystals with defects.**Doklady Physics, 2008, № 5, pp. 261–264. (pdf).

## Preprints

- A.M. Krivtsov, E.A. Podolskaya, V.Yu. Shubina.
**Asymptotics of a thermal wave in a one-dimensional harmonic crystal.**Materials Physics and Mechanics. 2019. - A.M. Krivtsov, A.S. Murachev. Transition to thermal equilibrium in a deformed crystal.
- S.N. Gavrilov, A.M. Krivtsov. Thermal equilibration in a one-dimensional harmonic crystal lying in a viscous environment.
- A.A. Sokolov, A.M. Krivtsov, W.H. Müller. Energy transfer in discrete and continuous one-dimensional media.

## Virtual laboratory

- Dynamics of 1D harmonic crystal
- Dynamics of 1D anharmonic crystal
- Oscillations of energies in 1D crystal
- Diffusive processses in 1D crystal
- Heat transport in 1D crystal (see also [1] and periodic temperature)
- Oscillations of energies in 1D crystal on elastic substrate]
- Distribution function in 2D triangular lattice]
- | Fermi-Pasta-Ulam crystal (Fermi-Pasta-Ulam crystal (analytics))
- Heat tranport in triangular lattice]
- Transition of mechanical energy to heat:
- Heat supply:
- Group velocity vs. phase velocity
- Soliton vs. harmonic wave

## Conferences talks

- A.M. Krivtsov. June 25, 2019:
**Wave and diffusive heat processes in ultrapure materials**.*Plenary lecture.*St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2019. - V.A. Kuzkin. June 25, 2019:
**Unsteady ballistic heat transport in harmonic crystals with polyatomic unit cell**. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2019. - S.N. Gavrilov. June 25, 2019:
**Steady-state kinetic temperature distribution in a two-dimensional harmonic scalar lattice lying in a viscous environment and subjected to a point heat source**. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2019. - A.S. Murachev. June 25, 2019:
**Transition to thermal equilibrium in a deformed crystal**. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2019. - A.A. Sokolov. June 25, 2019:
**Heat conduction in 1D harmonic crystal. Finite or infinite? The comparison of two approaches**. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2019. - A.S. Evseenkov. June 25, 2019:
**Ballistic and diffusion heat transfer in onedimensional harmonic crystal with defects**. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2019. - A.M. Krivtsov. 26 июня 2018:
**Ballistic heat conduction at nano- and microscale**.*Plenary lecture.*St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2018. - V.A. Kuzkin. 26 июня 2018:
**Transition to thermal equilibrium and nonequipartition of energy in harmonic crystals**. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2018. - С.Н. Гаврилов. June 26, 2018:
**Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply**. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2018. - E.B. Starobinskii. June 26, 2018:
**Mechanical and thermal oscillations in crystals of different dimensions**. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2018. - A.S. Murachev. June 26, 2018:
**Non-stationary thermodiffusion processes in a finite one-dimensional crystal**. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2018. - A.A. Sokolov. June 26, 2018:
**Entropy production for one-dimensional ballistic heat equation - sinusoidal initial perturbation**. St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2018. - A.M. Krivtsov. June 23, 2018:
**Unsteady thermal processes in harmonic crystals**.*Plenary lecture.*St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2017. - A.A. Sokolov. September 17, 2016.
**Localized heat impulses and non-Fourier heat propagation in 1-D crystals**. Tomsk, 26th INTERNATIONAL WORKSHOP ON COMPUTATIONAL MECHANICS OF MATERIALS.

- A.M. Krivtsov. June 25, 2016.
**On unsteady heat conduction in a harmonic crystal**. Sheffield, UK, Non-Equilibrium Simulation Conference (NESC 2016). - A.M. Krivtsov. June 27, 2016.
**Unsteady thermal processes in harmonic crystals**.*Plenary lecture.*St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2016.

- A.M. Krivtsov. June 22, 2015.
**One-dimensional crystals and heat superconductivity.***Plenary lecture.*St. Petersburg, International Summer School-Conference “Advanced Problems in Mechanics” 2015.