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arXiv 1208.1928cond-mat.stat-mechcond-mat.mtrl-scicond-mat.softphysics.chem-phphysics.comp-ph
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用频率相关恒温器模拟水中的量子零点效应

Simulation of quantum zero-point effects in water using a frequency-dependent thermostat

Sriram Ganeshan, Rafael Ramírez, M. V. Fernández-Serra

摘要:

像水这样的分子,其振动模式的零点能量远高于室温。因此,经典的分子动力学模拟的液体在很大程度上低估了具有较高零点温度的模式的能量,这转化为低估共价原子间的距离,由于非谐效应。零点效应可以使用路径积分分子动力学模拟来恢复,但是这些在计算上是昂贵的,使得它们与从头算分子动力学模拟的组合成为挑战。作为路径积分方法的替代方案,从计算简单的角度来看,可以设想设计一种恒温器,该恒温器能够在其相应的零点温度下平衡和保持不同的振动模式。最近,Ceriotti等人(Phys.Rev.Lett. 102 020601(2009))引入了一种框架,以使用具有相关噪声的定制朗之万方程,其可以用于包括经典分子动力学模拟中的量子波动。在这里,我们表明,它是可以使用的广义朗之万方程与抑制噪声结合鼻子胡佛恒温器有效地施加零点温度独立模式在液态水。使用我们的简单和廉价的方法,我们实现了良好的协议相比,路径积分分子动力学模拟的所有原子对关联函数。

英文摘要:

Molecules like water have vibrational modes with a zero-point energy well above room temperature. As a consequence, classical molecular dynamics simulations of their liquids largely underestimate the energy of modes with a higher zero-point temperature, which translates into an underestimation of covalent interatomic distances due to anharmonic effects. Zero-point effects can be recovered using path integral molecular dynamics simulations, but these are computationally expensive, making their combination with ab initio molecular dynamics simulations a challenge. As an alternative to path integral methods, from a computationally simple perspective, one would envision the design of a thermostat capable of equilibrating and maintaining the different vibrational modes at their corresponding zero-point temperatures. Recently, Ceriotti et al. (Phys. Rev. Lett. 102 020601 (2009)) introduced a framework to use a custom-tailored Langevin equation with correlated noise that can be used to include quantum fluctuations in classical molecular dynamics simulations. Here we show that it is possible to use the generalized Langevin equation with suppressed noise in combination with Nose-Hoover thermostats to efficiently impose a zero-point temperature on independent modes in liquid water. Using our simple and inexpensive method, we achieve excellent agreement for all atomic pair correlation functions compared to the path integral molecular dynamics simulation.

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