Topological Design of Heterogeneous Self-Assembly

Andrei A. Klishin; Michael P. Brenner

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arXiv · 2103.02010

Topological Design of Heterogeneous Self-Assembly

Andrei A. Klishin·Michael P. Brenner

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Abstract

Controlling the topology of structures self-assembled from a set of heterogeneous building blocks is highly desirable for many applications, but is poorly understood theoretically. Here we show that the thermodynamic theory of self-assembly involves an inevitable divergence in chemical potential. The divergence and its detailed structure are controlled by the spectrum of the transfer matrix, which summarizes all of self-assembly design degrees of freedom. By analyzing the transfer matrix, we map out the phase boundary between the designable structures and the unstructured aggregates, driven by the level of cross-talk.

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Andrei A. Klishin, Michael P. Brenner. 2021-03-02. Topological Design of Heterogeneous Self-Assembly. https://arxiv.org/abs/2103.02010

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