硬球动力学普适类中的分子布朗对应
Molecular-Brownian Correspondence in the Hard-sphere Dynamic Universality Class
摘要：
我们进行了系统的模拟实验与软球排斥相互作用的模型系统，以测试具有相似的静态结构的软球液体之间的预测动态等效性。为此，我们比较了模拟动力学（均方位移，中间散射函数，α-弛豫时间等）。不同的软球系统，在它们之间和与硬球液体。然后，我们表明，所提到的动态等价性不依赖于（牛顿或布朗）性质的微观法律的运动的组成粒子，因此，独立适用于胶体和原子简单的液体。此外，我们验证了另一个最近提出的动力学等价性，这次是布朗流体及其相应的原子液体的长时间动力学之间的等价性（即，具有相同相互作用势的原子系统）。
英文摘要：
We perform systematic simulation experiments on model systems with soft-sphere repulsive interactions to test the predicted dynamic equivalence between soft-sphere liquids with similar static structure. For this we compare the simulated dynamics (mean squared displacement, intermediate scattering function, α-relaxation time, etc.) of different soft-sphere systems, between them and with the hard-sphere liquid. We then show that the referred dynamic equivalence does not depend on the (Newtonian or Brownian) nature of the microscopic laws of motion of the constituent particles, and hence, applies independently to colloidal and to atomic simple liquids. In addition, we verify another more recently-proposed dynamic equivalence, this time between the long-time dynamics of a Brownian fluid and its corresponding atomic liquid (i.e., the atomic system with the same interaction potential).
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