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A simple landscape of metastable state energies for two-dimensional cellular matter

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Abstract

The mechanical behavior of cellular matter in two dimensions can be inferred from geometric information near its energetic ground state. Here it is shown that the much larger set of all metastable state energies is universally described by a systematic expansion in moments of the joint probability distribution of size (area) and topology (number of neighbors). The approach captures bounds to the entire range of metastable state energies and quantitatively identifies any such state. The resulting energy landscape is invariant across different classes of energy functionals, across simulation techniques, and across system polydispersities. The theory also finds a threshold in tissue adhesion beyond which no metastable states are possible. Mechanical properties of cellular matter in biological and technological applications can thus be identified by visual information only.

Graphical abstract: A simple landscape of metastable state energies for two-dimensional cellular matter

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Publication details

The article was received on 20 Sep 2018, accepted on 06 Dec 2018 and first published on 06 Dec 2018


Article type: Paper
DOI: 10.1039/C8SM01921E
Citation: Soft Matter, 2019, Advance Article
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    A simple landscape of metastable state energies for two-dimensional cellular matter

    S. Kim and S. Hilgenfeldt, Soft Matter, 2019, Advance Article , DOI: 10.1039/C8SM01921E

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