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In the present paper, by analyzing the microscopic mechanism of forced vibration of interfacial atoms, it is shown that the atomic vibration is actually the superposition of the self-excited vibration and the forced vibration. The phonon excitation and annihilation due to the thermal vibration of the interfacial atoms in a non-equilibrium state are studied based on solid state physics and quantum mechanics. Then, the temperature effect on vibration energy levels of interfacial atoms are investigated, which shows that when the temperature is low, the probability for a quantum harmonic oscillator being in an excited state rises with temperature, causing the friction coefficient to rise with temperature. When the temperature is around 100 K, the probability for a harmonic oscillator being in the excited state reaches the peak, causing a peak friction coefficient at this point. When the temperature is above 100 K, the friction coefficient decreases with temperature. The trends of our analytical results and the experimental results of others are the same, indicating that the proposed theory and method are feasible.
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Keywords:
- thermal excitation /
- phonon /
- interfacial friction /
- quantum harmonic oscillator
[1] Gong Z L, Huang P 2008 Acta Phys. Sin. 57 2358 (in Chinese)[龚中良, 黄平 2008 57 2385]
[2] Czichos H A, 1978 Tribology: A system Approach to the Science and Technology of Friction, Lubrication and Wear (Vol.1) (Netherlands: Amsterdam) p87
[3] Sang Y, Dube M, Grant M 2001 Phys. Rev. Lett. 87 174301
[4] Sang Y, Dube M, Grant M 2008 Phys. Rev. E 77 36123
[5] Krylov S Y, Jinesh K B, Valk H 2005 Phys. Rev. E 71 65101
[6] Gong SM1989 Non-equilibrium Statistical Mechanics (Shanghai: Fudan University Press) p158 (in Chinese) [龚少明 1989 非平衡态统计力学 (上海: 复旦大学出版社) 第158页]
[7] Schirmeisen A, Jansen L, Holscher H 2006 Appl. Phys. Lett. 88 123108
[8] Zhao X, Hamilton M, Sawyer W G 2007 Tribol. Lett. 27 113
[9] Sills S, Overney R M 2003 Phys. Rev. Lett. 91 95501
[10] Xu Z M, Huang P 2006 Acta Phys. Sin. 55 2427 (in Chinese) [许中明, 黄平 2006 55 2427]
[11] French A P, (translated by Xu X D) 1981 Vibration and Wave (Beijing: People’s Education Press) p116 (in Chinese) [弗伦奇著 (徐绪笃译) 1981 振动与波 (北京: 人民教育出版社) 第116页]
[12] Ma B K, Gao S H, Sun Y 1994 Thermodynamics and Statistical Physics (Beijing: Higher Education Press) p374 (in Chinese) [马本堃, 高尚惠, 孙煜 1994 热力学与统计物理学 (北京: 高等教育出版社) 第374页]
[13] Huang K, Han R Q 1985 Solid State Physics (Beijing: Higher Education Press) p516 (in Chinese) [黄昆, 韩汝琦 1985 固体物理学 (北京: 高等教育出版社) 第516页]
[14] Zeng J Y 2001 Quantum Mechanics (3rd Ed.) (Beijing: Science Press) p135 (in Chinese) [曾谨言 2001 量子力学 (第三版) (北京: 科学出版社)第135页]
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[1] Gong Z L, Huang P 2008 Acta Phys. Sin. 57 2358 (in Chinese)[龚中良, 黄平 2008 57 2385]
[2] Czichos H A, 1978 Tribology: A system Approach to the Science and Technology of Friction, Lubrication and Wear (Vol.1) (Netherlands: Amsterdam) p87
[3] Sang Y, Dube M, Grant M 2001 Phys. Rev. Lett. 87 174301
[4] Sang Y, Dube M, Grant M 2008 Phys. Rev. E 77 36123
[5] Krylov S Y, Jinesh K B, Valk H 2005 Phys. Rev. E 71 65101
[6] Gong SM1989 Non-equilibrium Statistical Mechanics (Shanghai: Fudan University Press) p158 (in Chinese) [龚少明 1989 非平衡态统计力学 (上海: 复旦大学出版社) 第158页]
[7] Schirmeisen A, Jansen L, Holscher H 2006 Appl. Phys. Lett. 88 123108
[8] Zhao X, Hamilton M, Sawyer W G 2007 Tribol. Lett. 27 113
[9] Sills S, Overney R M 2003 Phys. Rev. Lett. 91 95501
[10] Xu Z M, Huang P 2006 Acta Phys. Sin. 55 2427 (in Chinese) [许中明, 黄平 2006 55 2427]
[11] French A P, (translated by Xu X D) 1981 Vibration and Wave (Beijing: People’s Education Press) p116 (in Chinese) [弗伦奇著 (徐绪笃译) 1981 振动与波 (北京: 人民教育出版社) 第116页]
[12] Ma B K, Gao S H, Sun Y 1994 Thermodynamics and Statistical Physics (Beijing: Higher Education Press) p374 (in Chinese) [马本堃, 高尚惠, 孙煜 1994 热力学与统计物理学 (北京: 高等教育出版社) 第374页]
[13] Huang K, Han R Q 1985 Solid State Physics (Beijing: Higher Education Press) p516 (in Chinese) [黄昆, 韩汝琦 1985 固体物理学 (北京: 高等教育出版社) 第516页]
[14] Zeng J Y 2001 Quantum Mechanics (3rd Ed.) (Beijing: Science Press) p135 (in Chinese) [曾谨言 2001 量子力学 (第三版) (北京: 科学出版社)第135页]
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