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arXiv 2403.01637cond-mat.softcond-mat.mtrl-scicond-mat.stat-mech
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曲率受挫胶体片层的自限制堆叠:粒子内变形与粒子间变形的作用

Self-limiting stacks of curvature-frustrated colloidal plates: Roles of intra-particle versus inter-particle deformations

Kyle T. Sullivan, Ryan C. Hayward, Gregory M. Grason

AI总结:

本文通过理论与粗粒化模拟研究 curvamer 柔性壳状粒子的自限制堆叠,揭示粒子内弯曲刚度与粒子间间隙柔顺性之比及吸引作用程如何控制受挫传播和尺寸转变。

摘要:

在几何受挫组装体中,亚基之间的局部错配会传播为组装体内部的应变梯度,从而产生反常的自限制组装热力学。本文结合理论与粗粒化模拟,研究了近期发展的一类“curvamer”粒子,即柔性壳状粒子;由于内聚堆叠中曲率变形的累积,这类粒子表现出自限制组装。为处理受挫组装中一个普遍但理解不足的方面,我们提出了一个 curvamer 组装模型,该模型同时纳入粒子内形状变形以及粒子间内聚间隙的柔顺性,后者可归因于粒子间吸引作用的有限作用程。我们表明,粒子内刚度(弯曲弹性)与粒子间刚度之比不仅控制自限制的区间,也控制曲率受挫在 curvamer 堆叠中的传播性质。我们发现,从小尺寸时均匀结合、曲率聚焦的堆叠,向大尺寸时间隙打开、均匀弯曲的堆叠转变,是由 curvamer 间刚度与 curvamer 内刚度的无量纲度量控制的。粒子间吸引的有限作用程决定了堆叠中内聚作用呈现自限制的范围,这一预测与我们粗粒化胶体模型的数值研究高度一致。这些预测为实验实现受挫粒子系统提供了关键指导,这类系统被设计为在特别大的多粒子尺度上表现出自限制。

英文摘要:

In geometrically frustrated assemblies local inter-subunit misfits propagate to intra-assembly strain gradients, giving rise to anomalous self-limiting assembly thermodynamics. Here, we use theory and coarse-grained simulation to study a recently developed class of ``curvamer'' particles, flexible shell-like particles that exhibit self-limiting assembly due to the build up of curvature deformation in cohesive stacks. To address a generic, yet poorly understood aspect of frustrated assembly, we introduce a model of curvamer assembly that incorporates both {\it intra-particle} shape deformation as well as compliance of {\it inter-particle} cohesive gaps, an effect we can attribute to a {\it finite range of attraction} between particles. We show that the ratio of intra-particle (bending elasticity) to inter-particle stiffness not only controls the regimes of self-limitation but also the nature of frustration propagation through curvamer stacks. We find a transition from uniformly-bound, curvature-focusing stacks at small size to gap-opened, uniformly curved stacks at large size is controlled by a dimensionless measure of inter- versus intra-curvamer stiffness. The finite range of inter-particle attraction determines range of cohesion in stacks are self-limiting, a prediction which is in strong agreement with numerical studies of our coarse-grained colloidal model. These predictions provide critical guidance for experimental realizations of frustrated particle systems designed to exhibit self-limitation at especially large multi-particle scales.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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