范德瓦尔斯阱中非线性振子的布朗运动
Brownian motion of nonlinear oscillator in van der Waals trap
摘要：
范德华势阱是一种具有短程排斥力和长程吸引力的量子涨落诱导势，具有本质的非线性。利用朗之万动力学模拟和拟谐近似，揭示了范德瓦尔斯陷阱中布朗振子的非线性效应。虽然有效固有频率的尺寸和温度依赖性对于大面积的悬挂板都不重要，但具有更广泛概率分布的较小的悬挂板显着软化，甚至观察到温度诱导软化。尽管存在非线性，但通过改变涂层厚度和悬挂板的尺寸和穿孔条件，可以分别调节刚度和摩擦系数，从而赋予量子阱建立微观力学系统和探测近边界流体动力学的灵活性。
英文摘要：
Van der Waals trap, a quantum fluctuation-induced potential characterized by short-range repulsive and long-range attractive forces, is intrinsically nonlinear. This work unveils the nonlinear effects on Brownian oscillators in the van der Waals trap using Langevin dynamics simulations and quasiharmonic approximations. While neither size- nor temperature-dependences of effective natural frequency is important for suspended plates of large areas, smaller ones with broader probability distributions are significantly softened and even a temperature-induced softening is observed. Despite the nonlinearity, the stiffness and the coefficient of friction are tunable by changing the thickness of coating and by modifying the size and the perforation condition of suspended plates, respectively, endowing the quantum trap with flexibilities of building up microscopic mechanical systems and probing near-boundary hydrodynamics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
