Structural signatures of the unjamming transition at zero temperature
Structural signatures of the unjamming transition at zero temperature
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DOI：
10.1103/physreve.73.041304
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发表时间：
2006-04-01
影响因子：
2.4
通讯作者：
Nagel, SR
中科院分区：
文献类型：
--
作者：
Silbert, LE;Liu, AJ;Nagel, SR
我们研究的对相关函数g（r）的零温度，无序，软球包装刚刚开始的干扰。我们发现这个函数的第一个和分裂的第二个峰值的过渡的不同签名。当从堵塞侧（在较高的填充分数处）接近过渡时，第一峰在小r侧发散并变窄为δ函数。在该峰的高r侧，g（r）按幂律衰减。在分裂秒峰中，两个次峰在过渡处都是奇异的，在它们的低r侧具有幂律行为，在它们的高r侧具有阶梯函数下降。这些奇异性的过渡是让人想起以前被用来区分玻璃结构的液体的经验标准。
We study the pair correlation function g(r) for zero-temperature, disordered, soft-sphere packings just above the onset of jamming. We find distinct signatures of the transition in both the first and split second peaks of this function. As the transition is approached from the jammed side (at higher packing fraction) the first peak diverges and narrows on the small-r side to a delta function. On the high-r side of this peak, g(r) decays as a power law. In the split second peak, the two subpeaks are both singular at the transition, with power-law behavior on their low-r sides and step-function drop-offs on their high-r sides. These singularities at the transition are reminiscent of empirical criteria that have previously been used to distinguish glassy structures from liquid ones.