Computer Simulation Study of Thermal Conduction in 1D Chains of Anharmonic Oscillators

来源 :Communications in Theoretical Physics | 被引量 : 0次 | 上传用户:michaelgang1
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In this work thermal conduction in one-dimensional(1D) chains of anharmonic oscillators are studied using computer simulation.The temperature profile,heat flux and thermal conductivity are investigated for chain length N = 100,200,400,800 and 1600.In the computer simulation anharmonicity is introduced due to Fermi-Pasta-Ulam-β(FPU-β) model.For substrate interaction,an onsite potential due to Frenkel-Kontorova(FK) model has been used.Numerical simulations demonstrate that temperature gradient scales behave as N-1 linearly with the relation J = 0.1765/N.For the thermal conductivity K,KN to N obey the linear relation of the type KN = 0.8805N.It is shown that thermal transport is dependent on phonon-phonon interaction as well as phonon-lattice interaction.The thermal conductivity increases linearly with increase inanharmonicity and predicts relation κ = 0.133 + 0.804β.It is also concluded that for higher value of the strength of the onsite potential system tends to a thermal insulator. In this work thermal conduction in one-dimensional (1D) chains of anharmonic oscillators are studied using computer simulation. The temperature profile, heat flux and thermal conductivity are investigated for chain length N = 100, 200, 400, 800 and 1600. In the computer simulation anharmonicity is introduced due to Fermi-Pasta-Ulam-β (FPU-β) model. For substrate interaction, an onsite potential due to Frenkel-Kontorova (FK) model has been used. Numerical simulations demonstrate that temperature gradient scales behave as N-1 linearly with the relation J = 0.1765 / N. For the thermal conductivity K, KN to N obey the linear relation of the type KN = 0.8805N.It is shown that the thermal transport is dependent on phonon-phonon interaction as well as phonon-lattice interaction. thermal conductivity increases linearly with increase in anharmonicity and predicts relation κ = 0.133 + 0.804β. It is also for that higher value of the strength of the onsite potential system tends to a thermal insulator.
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