Topological Design of Heterogeneous Self-Assembly [article]

Andrei A. Klishin, Michael P. Brenner
<span title="2021-03-02">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
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
more &raquo; ... out the phase boundary between the designable structures and the unstructured aggregates, driven by the level of cross-talk.
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