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.
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="">arXiv:2103.02010v1</a> <a target="_blank" rel="external noopener" href="">fatcat:sidg6orlareohkqtoch7wxwicu</a> </span>
<a target="_blank" rel="noopener" href="" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="" title=" access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> </button> </a>