Observing golden-mean universality class in the scaling of thermal transport

Observing golden-mean universality class in the scaling of thermal transport
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观察热传输缩放中的黄金分割普遍性等级

DOI:
10.1103/physreve.97.022116
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发表时间:
2018
期刊:
影响因子:
2.4
通讯作者:
Xiong Daxing
Xiong Daxing
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Xiong Daxing

文献摘要

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We address the issue of whether the golden-meanuniversality class, as predicted by several theoretical models, can be observed in the dynamical scaling of thermal transport. Remarkably, we show strong evidence thatappears to be the scaling exponent of heat mode correlation in a purely quartic anharmonic chain. This observation seems to somewhat deviate from the previous expectation and we explain it by the unusual slow decay of the cross correlation between heat and sound modes. Whenever the cubic anharmonicity is included, this cross correlation gradually dies out and another universality class with scaling exponent, as commonly predicted by theories, seems recovered. However, this recovery is accompanied by two interesting phase transition processes characterized by a change of symmetry of the potential and a clear variation of the dynamic structure factor, respectively. Due to these transitions, an additional exponent close toemerges. All this evidence suggests that, to gain a full prediction of the scaling of thermal transport, more ingredients should be taken into account.