Hierarchical assembly may be a way to make large information-rich structures

Abstract

Self-assembly in the laboratory can now yield `information-rich' nanostructures in which each component is of a distinct type and has a defined spatial position. Ensuring the thermodynamic stability of such structures requires inter-component interaction energies to increase logarithmically with structure size, in order to counter the entropy gained upon mixing component types in solution. However, self-assembly in the presence of strong interactions results in general in kinetic trapping, so suggesting a limit to the size of an (equilibrium) structure that can be self-assembled from distinguishable components. Here we study numerically a two-dimensional hierarchical assembly scheme already considered in experiment. We show that this scheme is immune to the kinetic traps associated with strong `native' interactions (interactions designed to stabilize the intended structure), and so, in principle, offers a way to make large information-rich structures. In this scheme the size of an assembled structure scales exponentially with the stage of assembly, and assembly can continue as long as random motion is able to bring structures into contact. The resulting superstructure could provide a template for building in the third dimension. The chief drawback of this scheme is that it is particularly susceptible to kinetic traps that result from `non-native' interactions (interactions not required to stabilize the intended structure); the scale on which such a scheme can be realized therefore depends upon how effectively this latter kind of interaction can be suppressed.

References in corpus (8)

• Reversible self-assembly of patchy particles into monodisperse icosahedral clusters
• Role of reversibility in viral capsid growth: A paradigm for self-assembly
• The role of collective motion in examples of coarsening and self-assembly
• The self-assembly and evolution of homomeric protein complexes
• Fluctuation-dissipation ratios in the dynamics of self-assembly
• Theoretical prediction of free-energy landscapes for complex self-assembly
• Growth of equilibrium structures built from a large number of distinct component types
• Design Strategies for Self-Assembly of Discrete Targets

Cited by in corpus (9)

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• Molecular Assembly Lines in Active Droplets
• Accessing Semi-Addressable Self Assembly with Efficient Structure Enumeration
• The central role of entropy in adiabatic ensembles and its application to phase transitions in the grand-isobaric adiabatic ensemble
• Simultaneous optimization of assembly time and yield in programmable self-assembly
• Topological constraints on self-organisation in locally interacting systems