Self-limiting stacks of curvature-frustrated colloidal plates: Roles of intra-particle versus inter-particle deformations
arxiv(2024)
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 intra-particle shape deformation as well as compliance
of inter-particle cohesive gaps, an effect we can attribute to a 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.
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