粘性硬球分散体凝胶化的一般定义
Towards a general definition of gelation for adhesive hard-sphere dispersions
摘要：
凝聚态物理的一个主要目标是确定导致物质（特别是凝胶和玻璃）停滞状态的物理机制。每个特定系统的复杂性质和微观细节都是相关的。然而，从科学和技术的角度来看，一个普遍、一致和统一的定义至关重要。通过Monte Carlo计算机模拟实验中确定的状态，我们证明，粘合剂硬球分散体的刚性渗透的结果，平均键数，$<n_b>$，等于2.4。这对应于在网络形成材料中导致相变的既定机制。我们的研究结果连接的概念，在胶体悬浮液中的临界凝胶形成与短程吸引力的相互作用的刚性渗滤的普遍概念。此外，键，角和局部分布沿凝胶线明确研究，以确定的拓扑结构的临界凝胶状态。
英文摘要：
One major goal in condensed matter physics is identifying the physical mechanisms that lead to arrested states of matter, especially gels and glasses. The complex nature and microscopic details of each particular system are relevant. However, from both scientific and technological viewpoints, a general, consistent and unified definition is of paramount importance. Through Monte Carlo computer simulations of states identified in experiments, we demonstrate that adhesive hard-sphere dispersions are the result of rigidity percolation with average number of bonds, $<n_b>$, equals to 2.4. This corresponds to an established mechanism leading to phase transitions in network-forming materials. Our findings connect the concept of critical gel formation in colloidal suspensions with short-range attractive interactions to the universal concept of rigidity percolation. Furthermore, the bond, angular and local distributions along the gelation line are explicitly studied in order to determine the topology of the structure of the critical gel state.
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