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Equilibration of sinusoidal modulation of temperature in linear and nonlinear chains.
Korznikova, Elena A; Kuzkin, Vitaly A; Krivtsov, Anton M; Xiong, Daxing; Gani, Vakhid A; Kudreyko, Aleksey A; Dmitriev, Sergey V.
Afiliación
  • Korznikova EA; Institute of Molecule and Crystal Physics, Ufa Federal Research Centre of the Russian Academy of Sciences, Ufa 450054, Russia.
  • Kuzkin VA; Ufa State Aviation Technical University, Ufa 450008, Russia.
  • Krivtsov AM; Peter the Great Saint Petersburg Polytechnical University, Saint Petersburg 195251, Russia.
  • Xiong D; Institute for Problems in Mechanical Engineering, RAS, Saint Petersburg 199178, Russia.
  • Gani VA; Peter the Great Saint Petersburg Polytechnical University, Saint Petersburg 195251, Russia.
  • Kudreyko AA; Institute for Problems in Mechanical Engineering, RAS, Saint Petersburg 199178, Russia.
  • Dmitriev SV; MinJiang Collaborative Center for Theoretical Physics, Department of Physics and Electronic Information Engineering, Minjiang University, Fuzhou, Fujian 350108, China.
Phys Rev E ; 102(6-1): 062148, 2020 Dec.
Article en En | MEDLINE | ID: mdl-33465976
The equilibration of sinusoidally modulated distribution of the kinetic temperature is analyzed in the ß-Fermi-Pasta-Ulam-Tsingou chain with different degrees of nonlinearity and for different wavelengths of temperature modulation. Two different types of initial conditions are used to show that either one gives the same result as the number of realizations increases and that the initial conditions that are closer to the state of thermal equilibrium give faster convergence. The kinetics of temperature equilibration is monitored and compared to the analytical solution available for the linear chain in the continuum limit. The transition from ballistic to diffusive thermal conductivity with an increase in the degree of anharmonicity is shown. In the ballistic case, the energy equilibration has an oscillatory character with an amplitude decreasing in time, and in the diffusive case, it is monotonous in time. For smaller wavelength of temperature modulation, the oscillatory character of temperature equilibration remains for a larger degree of anharmonicity. For a given wavelength of temperature modulation, there is such a value of the anharmonicity parameter at which the temperature equilibration occurs most rapidly.

Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Phys Rev E Año: 2020 Tipo del documento: Article País de afiliación: Rusia Pais de publicación: Estados Unidos

Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Phys Rev E Año: 2020 Tipo del documento: Article País de afiliación: Rusia Pais de publicación: Estados Unidos