原子尺度摩擦的准静态分析

Quasistatic Analysis of Friction at the Atomic Scale

  • 摘要: 理解摩擦的产生以及能量的演化过程,是从根本上实现界面摩擦行为主动调控的理论基础。经典Prandtl-Tomlinson(P-T)模型作为描述原子摩擦中粘滑运动的典型模型,能通过简约的参数揭示其力学失稳本质,并建立宏观摩擦行为与原子尺度势能面的关联。然而,目前针对该模型中能量演化路径与关键参数影响的系统分析仍显不足。为此,本文基于P-T模型,对纳米尺度摩擦的运动机制展开准静态分析。分析了粘滑运动的产生及其摩擦特征,并展示了与其影响因素有关的非平衡能量演化过程。进一步地,定量阐明了势垒高度与弹性常数的独立调控作用与协同影响机制——势垒高度决定了耗散上限与静摩擦力极限,弹性常数则主导弹性势能的极限与单次能量耗散的强度,通过二者共同变化,定量阐释了界面周期势与弹性常数的无量纲竞争比值不仅决定粘滑-平滑临界阈值,还标定了能量耗散强度。通过将简化的势能面模型与宏观摩擦行为相联系,深化了对纳米摩擦物理机制的理解,旨在为通过调控界面特性与力学性能以减少摩擦提供理论基础。

     

    Abstract: Understanding the origin of friction and the evolution of energy is the theoretical foundation for actively controlling interfacial frictional behavior. The classical Prandtl-Tomlinson (P-T) model, as a typical model describing stick–slip motion in atomic-scale friction, reveals the essence of mechanical instability through simplified parameters and establishes a connection between macroscopic friction behavior and atomic-scale potential energy surfaces. However, systematic analyses of the energy evolution pathways and the effects of key parameters in this model remain insufficient. To address this gap, a quasistatic analysis of the motion mechanism in nanoscale friction is conducted based on the P–T model. The generation of stick–slip motion and its frictional characteristics are analyzed, and the nonequilibrium energy evolution process influenced by relevant factors is demonstrated. Furthermore, the independent regulatory roles and synergistic effects of the potential barrier height and the elastic constant are quantitatively clarified: the potential barrier height determines the upper limit of dissipation and the maximum static friction, while the elastic constant governs the maximum elastic potential energy and the energy dissipated per slip event. By varying both parameters together, the dimensionless competitive ratio of the interfacial periodic potential to the elastic constant is quantitatively interpreted: this ratio not only determines the critical threshold for the stick–slip to smooth-sliding transition but also scales the intensity of energy dissipation. By linking the simplified potential energy surface model to macroscopic friction behavior, this study deepens the understanding of the physical mechanisms of nanoscale friction and aims to provide a theoretical basis for reducing friction through the modulation of interfacial properties and mechanical performance.

     

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