Buckling of a linear chain of hard spheres in a harmonic confining potential: Numerical and analytical results for low and high compression

Stefan Hutzler, Adil Mughal, John Ryan-Purcell, Ali Irannezhad, Denis Weaire

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Abstract

We extend a previous analysis of the buckling properties of a linear chain of hard spheres between hard walls under transverse harmonic confinement. Two regimes are distinguished—low compression, for which the entire chain buckles, and higher compression, for which there is localized buckling. With further increase of compression, second-neighbor contacts occur; beyond this compression the structure is no longer planar, and is not treated here. A continuous model is developed which is amenable to analytical solution in the low compression regime. This is helpful in understanding the scaling properties of both finite and infinite chains.
Original languageEnglish
Article number022905
Number of pages12
JournalPhysical Review E
Volume102
Issue number2
DOIs
Publication statusPublished - 19 Aug 2020

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