Solubility and transport of cationic and anionic patterned nanoparticles

In biased and soft-walled channels: Insights into transport phenomena and damped modulation

The motion of a particle along a channel of finite width is known to be affected by either the presence of energy barriers or changes in the bias forces along the channel direction. By using the lateral equilibrium hypothesis, we have successfully derived the effective diffusion coefficient for soft-walled channels, and the diffusion is found to be influenced by the curvature profile of the potential. A typical phenomenon of diffusion enhancement is observed under the appropriate parameter conditions. We first discovered an anomalous phenomenon of quasi-periodic enhancement of oscillations, which cannot be captured by the one-dimensional effective potential, under the combination of sub-Ohmic damping with two-dimensional restricted channels. We innovatively develop the effective potential and the formation mechanism of velocity variance under super-Ohmic and ballistic damping, and meanwhile, ergodicity is of concern. The theoretical framework of a ballistic system can be reinterpreted through the folding acceleration theory. This comprehensive analysis significantly enhances our understanding of diffusion processes in constrained geometries.

Symmetry-derived structure directing agents for two-dimensional crystals of arbitrary colloids

We derive properties of self-assembling rings which can template the organization of an arbitrary colloid into any periodic symmetry in two Euclidean dimensions. By viewing this as a tiling problem, we illustrate how the shape and chemical patterning of these rings are derivable, and are explicitly reflected by the symmetry group's orbifold symbol. We performed molecular dynamics simulations to observe their self-assembly and found 5 different characteristics which could be easily rationalized on the basis of this symbol. These include systems which undergo chiral phase separation, are addressably complex, exhibit self-limiting growth into clusters, form ordered "rods" in only one-dimension akin to a smectic phase, and those from symmetry groups which are pluripotent and allow one to select rings which exhibit different behaviors. We discuss how the curvature of the ring's edges plays an integral role in achieving correct self-assembly, and illustrate how to obtain these shapes. This provides a method for patterning colloidal systems at interfaces without explicitly programming this information onto the colloid itself.

Translocation of a nanoparticle through a fluidic channel: the role of grafted polymers

The surface properties of nanoparticles (NPs) are key factors for their design and use in biomedicine; however, our understanding of the effect of surface properties on the translocation of NPs through membranes is still rather poor. Herein, we have used molecular dynamics simulations to study the translocation of a polymer-grafted NP through a fluidic channel. We change the length, number, amount of charge and the charge position of grafted polymers. With the increase of polymer length, the NP flux decreases as a whole due to the increase of NP size, where the -NP translocation fails at the smallest polymer length, because of the strong binding of Na(+). Surprisingly, the NP flux exhibits a maximum with the increase of the polymer number or charge amount, which is co-determined by the NP net charge and size. Owing to the NP-membrane adsorption and NP-ion binding, the NP flux decreases with the decrease of charge position. We also analyze the transport of counterions, which depends on both the NP-ion binding and NP dynamics. Finally, we investigate the effect of electric fields for a given NP type. Our results reveal the important role of grafted polymers in the NP translocation and may have implications in the design of highly efficient NP delivery.