Jamming as a Multicritical Point

Jamming as a Multicritical Point
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DOI:
10.1103/physrevlett.122.128006
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发表时间:
2019-03-28
影响因子:
8.6
通讯作者:
Lubensky, T. C.
Lubensky, T. C.
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Liarte, Danilo B.;Mao, Xiaoming;Lubensky, T. C.

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在干扰转变时,体积模数B的不连续跳跃是形成抵抗压缩的球体的关键接触网络的结果。我们引入了具有底层欠协调抗压缩弹簧晶格的晶格模型,可以在其上添加次最近邻弹簧。在这些模型中,干扰转变表现为一种终止一条刚性-渗流转变线的多临界点。用干扰时的临界网络代替非协调格子,得到了干扰的真实描述及其与刚性渗流的关系。
The discontinuous jump in the bulk modulus B at the jamming transition is a consequence of the formation of a critical contact network of spheres that resists compression. We introduce lattice models with underlying undercoordinated compression-resistant spring lattices to which next-nearest-neighbor springs can be added. In these models, the jamming transition emerges as a kind of multicritical point terminating a line of rigidity-percolation transitions. Replacing the undercoordinated lattices with the critical network at jamming yields a faithful description of jamming and its relation to rigidity percolation.