Hutzler Stefan, Mughal Adil, Ryan-Purcell John, Irannezhad Ali, Weaire Denis
School of Physics, Trinity College Dublin, Dublin 2, D02 PN40 Ireland.
Department of Mathematics, Aberystwyth University, Penglais, Aberystwyth, Ceredigion, Wales SY23, United Kingdom.
Phys Rev E. 2020 Aug;102(2-1):022905. doi: 10.1103/PhysRevE.102.022905.
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.
我们扩展了之前对横向谐波约束下硬壁间硬球线性链屈曲特性的分析。区分了两种状态——低压缩状态，此时整个链会发生屈曲；以及高压缩状态，此时会发生局部屈曲。随着压缩的进一步增加，会出现次近邻接触；超过此压缩程度，结构不再是平面的，此处不再进行处理。我们开发了一个连续模型，该模型适用于低压缩状态下的解析解。这有助于理解有限链和无限链的标度特性。
