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Methods for Atomistic Simulations of Linear and Nonlinear Damping in Nanomechanical Resonators

机译:纳米机械谐振器中线性和非线性阻尼的原子模拟方法

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摘要

Atomistic simulations can be used to compute damping from first principles and gain unprecedented insights into the mechanisms of dissipation. However, the technique is still in its infancy and many foundational aspects remain unexplored. As a step toward addressing these issues, we present here a comparative study of five different methods for estimating damping under isothermal conditions. Classical molecular dynamics was used to simulate the fundamental longitudinal-mode oscillations of nanowires and nanofilms of silicon and nickel at room temperature (300 K) in the canonical ensemble using the Nosé-Hoover thermostat. In the subresonant regime, damping was quantified using the loss tangent and loss factor during steady-state harmonic vibration. The quality factor was obtained by analyzing the spectrum of thermomechanical noise and also from the Duffing-like nonlinearity in the frequency response under harmonic excitation. In addition, the nonlinear logarithmic decrement was obtained from the Hilbert transform of freely decaying oscillations. We discuss the factors that must be considered while selecting simulation parameters, establish criteria for convergence and linearity, and highlight the relative merits and limitations of each method.
机译:原子模拟可用于根据第一性原理计算阻尼,并获得对耗散机理的空前洞察力。但是,该技术仍处于起步阶段,许多基础方面尚未探索。作为解决这些问题的步骤,我们在这里提供对等温条件下估计阻尼的五种不同方法的比较研究。经典的分子动力学用于使用Nose'-Hoover恒温器模拟规范集合中室温下(300 K)的纳米线以及硅和镍的纳米薄膜的基本纵向模式振荡。在亚谐振状态下,使用稳态谐波振动过程中的损耗角正切和损耗因子来量化阻尼。通过分析热机械噪声的频谱以及谐波激励下频率响应中的类似Duffing的非线性来获得品质因数。此外,非线性对数递减是从自由衰减振荡的希尔伯特变换获得的。我们讨论选择模拟参数时必须考虑的因素,建立收敛性和线性度的标准,并强调每种方法的相对优缺点。

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