软粒子的反常结构演化：等效液态理论
Anomalous structural evolution of soft particles: Equibrium liquid state theory
摘要：
利用液态理论中的超网链近似，分析了具有简谐斥力的软球模型中电子对关联函数随密度的演化。正如在最近的实验中所观察到的堵塞软粒子，理论预测的“异常”（非单调）的第一个峰值的强度时，密度在恒定温度下增加的演变。这种结构异常是粒子柔软性的直接结果，可以从纯粹的平衡考虑来解释，强调了这种现象的普遍性。这种异常也被预测有一个非平凡的，“${\cal S}$形”，随着温度的演变，作为三个不同的效果之间的竞争的结果，我们详细描述。计算机模拟支持我们的预测。
英文摘要：
We use the hyper-netted chain approximation of liquid state theory to analyze the evolution with density of the pair correlation function in a model of soft spheres with harmonic repulsion. As observed in recent experiments on jammed soft particles, theory predicts an `anomalous' (nonmonotonic) evolution of the intensity of the first peak when density is increased at constant temperature. This structural anomaly is a direct consequence of particle softness, and can be explained from purely equilibrium considerations, emphasizing the generality of the phenomenon. This anomaly is also predicted to have a non-trivial, `${\cal S}$-shaped', evolution with temperature, as a result of a competition between three distinct effects, which we describe in detail. Computer simulations support our predictions.
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