Project "Thermocrystal"

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Ballistic resonance and thermalization in FPU chain
TM > Project "Thermocrystal"

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

Publications

2023

  • PNRPU 2023: R.V. Rubinova, O.S. Loboda, A.M. Krivtsov. Ballistic heat transfer in a one-dimensional crystal with long-range interactions. 2023, PNRPU Mechanics Bulletin, 5, 74-80 (download pdf)
  • ASM 2023: E.V. Shishkina, S.N. Gavrilov. Localized Modes in a 1D Harmonic Crystal with a Mass-Spring Inclusion. 2023, Advances in Linear and Nonlinear Continuum and Structural Mechanics. Advanced Structured Materials, 461-479 (abstract, download pdf)
  • PRE2 2023: S.V. Dmitriev, V.A. Kuzkin, A.M. Krivtsov. Nonequilibrium thermal rectification at the junction of harmonic chains. 2023, Phys. Rev. E, 108, 054221 (abstract, download pdf)
  • CMT1 2023: S.D. Liazhkov. Unsteady thermal transport in an instantly heated semi-infinite free end Hooke chain. 2023, Continuum Mechanics and Thermodynamics, 35(2), 413-430 (abstract, download pdf)
  • PRE1 2023: V.A. Kuzkin. Acoustic transparency of the chain-chain interface. 2023, Phys. Rev. E, 107, 065004 (abstract, download pdf)
  • CMT 2023: E.V. Shishkina, S.N. Gavrilov. Unsteady ballistic heat transport in a 1D harmonic crystal due to a source on an isotopic defect. 2023, Continuum Mechanics and Thermodynamics, 35, 431–456 (abstract, download pdf)

2022

  • ASM1 2022: A.A. Sokolov, W.H. Müller, A.M. Krivtsov, A.V. Porubov. Signatures of Transient Purely Ballistic Heat Conduction: Theory and Experimental Investigation. 2022, Mechanics and Control of Solids and Structures, Advanced Structured Materials 164 (abstract, download pdf)
  • MPM 2022: R.V. Rubinova, O.S. Loboda, A.M. Krivtsov. Heat transfer in infinite one-dimensional crystal considering the third coordination sphere. 2022, Materials Physics and Mechanics, 50(3), 365-372. (abstract, download pdf)
  • JHMT 2022: S.N. Gavrilov. Discrete and continuum fundamental solutions describing heat conduction in a 1D harmonic crystal: Discrete-to-continuum limit and slow-and-fast motions decoupling. 2022, International Journal of Heat and Mass Transfer, 194, 123019 (abstract, download pdf) .
  • ASM 2022: E.A. Podolskaya, A.M. Krivtsov, V.A. Kuzkin. Discrete thermomechanics: From thermal echo to ballistic resonance (A review). 2022, In: Polyanskiy, V.A., K. Belyaev, A. (eds) Mechanics and Control of Solids and Structures. Advanced Structured Materials, 164. Springer, Cham. (download pdf)
  • ZAMM 2022: A.M. Krivtsov. Dynamics of matter and energy. 2022, Zeitschrift fur Angewandte Mathematik und Mechanik, 103, e202100496 (abstract, download pdf)
  • CMT 2022: S.N. Gavrilov, A.M. Krivtsov. Steady-state ballistic thermal transport associated with transversal motions in a damped graphene lattice subjected to a point heat source. 2022, Continuum Mechanics and Thermodynamics, 34(1), 297–319 (abstract, download pdf)

2021

  • AM 2021: V.A. Kuzkin, A.M. Krivtsov. Unsteady ballistic heat transport: linking lattice dynamics and kinetic theory. 2021, Acta Mechanica, 232(5), 1983-1996 (abstract, download pdf)

2020

  • PRE2 2020: V.A. Kuzkin, A.M. Krivtsov. Ballistic resonance and thermalization in the Fermi-Pasta-Ulam-Tsingou chain at finite temperature. 2020, Physical Review, E 101, 042209 (abstract, download pdf)
  • PRE1 2020: E.A. Korznikova , V.A. Kuzkin, A.M. Krivtsov, D. Xiong , V.A. Gani , A.A. Kudreyko , S.V. Dmitriev. Equilibration of sinusoidal modulation of temperature in linear and nonlinear chains. 2020, Phys. Rev. E 102, 062148 (abstract, download pdf)
  • CMT 2020: 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. 2020, Continuum Mechanics and Thermodynamics, 32(1), 41-61 (abstract, download pdf)

2019


2018


2017

  • АRX 2017: A.M. Krivtsov. On heat transfer in a thermally perturbed harmonic chain. ArXiv:1709.07924. 2017, 2 p. (abstract, download pdf).
  • PMM 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. 2017, Physical Mesomechanics, 20 (3), 305–310 (download pdf).

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  • V.A. Kuzkin, S.D. Liazhkov, Equilibration of kinetic temperatures in face-centered cubic lattices. 2020, Physical Review E, 102, 042219 (abstract, download pdf)
  • V.A. Kuzkin, A.M. Krivtsov. Ballistic resonance and thermalization in the Fermi-Pasta-Ulam-Tsingou chain at finite temperature. 2020, Physical Review, E 101, 042209 (abstract, download pdf)
  • 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. 2020, Continuum Mechanics and Thermodynamics, 32(1), с. 41-61 (abstract, download pdf)
  • A.M. Krivtsov. On heat transfer in a thermally perturbed harmonic chain. ArXiv:1709.07924. 2017, 2 p. (abstract, pdf).
  • 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).

Additional publications

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