Fractal Tomlinson model for mesoscopic friction: From microscopic velocity-dependent damping to macroscopic Coulomb friction
Fractal Tomlinson model for mesoscopic friction: From microscopic velocity-dependent damping to macroscopic Coulomb friction
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DOI：
10.1103/physreve.75.027103
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发表时间：
2007-02-01
影响因子：
2.4
通讯作者：
Popov, V. L.
中科院分区：
文献类型：
--
作者：
Filippov, A. E.;Popov, V. L.
研究了一个具有分形势的修正Tomlinson方程。有效势的数值生成和介观结构逐渐调整到不同的尺度由一些傅立叶模式。结果表明，随着尺度的变化，有效朗之万方程中速度相关阻尼的强度可逐渐被等效常数“干摩擦”所取代。“对于光滑的宏观表面，有效方程完全简化为众所周知的库仑定律。
A modified Tomlinson equation with fractal potential is studied. The effective potential is numerically generated and its mesoscopic structure is gradually adjusted to different scales by a number of Fourier modes. It is shown that with the change of scale the intensity of velocity-dependent damping in an effective Langevin equation can be gradually substituted by an equivalent constant "dry friction." For smooth macrosopic surfaces the effective equation completely reduces to the well known Coulomb law.