WPI-AIMR, Tohoku University, Sendai, Miyagi 980-8577, Japan.
J Chem Phys. 2011 Feb 14;134(6):064507. doi: 10.1063/1.3521486.
We perform discrete-event molecular dynamics simulations of a system of particles interacting with a spherically-symmetric (isotropic) two-scale Jagla pair potential characterized by a hard inner core, a linear repulsion at intermediate separations, and a weak attractive interaction at larger separations. This model system has been extensively studied due to its ability to reproduce many thermodynamic, dynamic, and structural anomalies of liquid water. The model is also interesting because: (i) it is very simple, being composed of isotropically interacting particles, (ii) it exhibits polyamorphism in the liquid phase, and (iii) its slow crystallization kinetics facilitate the study of glassy states. There is interest in the degree to which the known polyamorphism in glassy water may have parallels in liquid water. Motivated by parallels between the properties of the Jagla potential and those of water in the liquid state, we study the metastable phase diagram in the glass state. Specifically, we perform the computational analog of the protocols followed in the experimental studies of glassy water. We find that the Jagla potential calculations reproduce three key experimental features of glassy water: (i) the crystal-to-high-density amorphous solid (HDA) transformation upon isothermal compression, (ii) the low-density amorphous solid (LDA)-to-HDA transformation upon isothermal compression, and (iii) the HDA-to-very-high-density amorphous solid (VHDA) transformation upon isobaric annealing at high pressure. In addition, the HDA-to-LDA transformation upon isobaric heating, observed in water experiments, can only be reproduced in the Jagla model if a free surface is introduced in the simulation box. The HDA configurations obtained in cases (i) and (ii) are structurally indistinguishable, suggesting that both processes result in the same glass. With the present parametrization, the evolution of density with pressure or temperature is remarkably similar to the corresponding experimental measurements on water. Our simulations also suggest that the Jagla potential may reproduce features of the HDA-VHDA transformations observed in glassy water upon compression and decompression. Snapshots of the system during the HDA-VHDA and HDA-LDA transformations reveal a clear segregation between LDA and HDA but not between HDA and VHDA, consistent with the possibility that LDA and HDA are separated by a first order transformation as found experimentally, whereas HDA and VHDA are not. Our results demonstrate that a system of particles with simple isotropic pair interactions, a Jagla potential with two characteristic length scales, can present polyamorphism in the glass state as well as reproducing many of the distinguishing properties of liquid water. While most isotropic pair potential models crystallize readily on simulation time scales at the low temperatures investigated here, the Jagla potential is an exception, and is therefore a promising model system for the study of glass phenomenology.
我们对一个由粒子组成的系统进行了离散事件分子动力学模拟,该系统与一个具有球形对称(各向同性)的双标 Jagla 对势能相互作用,该势能具有硬的内芯、中间分离处的线性排斥以及较大分离处的弱吸引力。由于该模型能够再现液态水的许多热力学、动力学和结构异常,因此该模型系统得到了广泛的研究。该模型还很有趣,因为:(i) 它非常简单,由各向同性相互作用的粒子组成,(ii) 它在液相中表现出多晶型性,(iii) 其缓慢的结晶动力学有利于研究玻璃态。人们关注的是,已知玻璃态水中的多晶型性与液态水中的多晶型性是否有相似之处。受 Jagla 势能与液态水性质之间的相似性的启发,我们研究了玻璃态中的亚稳相图。具体来说,我们进行了与玻璃态水实验研究中遵循的方案类似的计算模拟。我们发现,Jagla 势能计算再现了玻璃态水的三个关键实验特征:(i) 等温压缩时的晶体到高密度非晶态固体 (HDA) 转变,(ii) 等温压缩时的低密度非晶态固体 (LDA) 到 HDA 转变,以及 (iii) 高压等压退火时的 HDA 到超高密度非晶态固体 (VHDA) 转变。此外,在水实验中观察到的等压加热时的 HDA 到 LDA 转变,仅当在模拟盒中引入自由表面时,Jagla 模型才能再现。在情况 (i) 和 (ii) 中获得的 HDA 构型在结构上无法区分,表明这两个过程都导致相同的玻璃。使用当前的参数化,密度随压力或温度的变化与水的相应实验测量非常相似。我们的模拟还表明,Jagla 势能可能会再现玻璃态水在压缩和解压过程中观察到的 HDA-VHDA 转变的特征。在 HDA-VHDA 和 HDA-LDA 转变期间,系统的快照显示出 LDA 和 HDA 之间的明显分离,但 HDA 和 VHDA 之间没有分离,这与实验中发现的 LDA 和 HDA 之间通过一级转变分离而 HDA 和 VHDA 之间不分离的可能性一致。我们的结果表明,具有简单各向同性对相互作用的粒子系统、具有两个特征长度尺度的 Jagla 势能,可以在玻璃态中呈现多晶型性,并再现液态水的许多鉴别特性。虽然大多数各向同性对势模型在我们研究的低温下很容易在模拟时间尺度上结晶,但 Jagla 势能是一个例外,因此是研究玻璃现象学的有前途的模型系统。