Multifarious Assembly Mixtures: Systems Allowing Retrieval of Diverse Stored Structures

Abstract

Self-assembly materials are traditionally designed so that molecular or meso-scale components form a single kind of large structure. Here, we propose a scheme to create "multifarious assembly mixtures", which self-assemble many different large structures from a set of shared components. We show that the number of multifarious structures stored in the solution of components increases rapidly with the number of different types of components. Yet, each stored structure can be retrieved by tuning only a few parameters, the number of which is only weakly dependent on the size of the assembled structure. Implications for artificial and biological self-assembly are discussed.

arXiv commentPaper + SI. Figures at the end

References in corpus (3)

• Low-temperature behavior of two-dimensional Gaussian Ising spin glasses
• Numerical evidence for nucleated self-assembly of DNA brick structures
• Cross-talk and transitions between multiple spatial maps in an attractor neural network model of the hippocampus: phase diagram (I)

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