Temperature dependence of heat conduction in the Fermi-Pasta-Ulam-β lattice with next-nearest-neighbor coupling.
Temperature dependence of heat conduction in the Fermi-Pasta-Ulam-β lattice with next-nearest-neighbor coupling.
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DOI：
10.1103/physreve.90.022117
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发表时间：
2014-08
期刊：
影响因子：
--
通讯作者：
Daxing Xiong;Yong Zhang;Hong Zhao
中科院分区：
文献类型：
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作者：
Daxing Xiong;Yong Zhang;Hong Zhao
我们数值计算表明，引入次近邻相互作用，（适当强度的）到一维（1D）Fermi-Pasta-Ulam-β（FPU-β）晶格中可以导致在宽温度范围内不寻常的、非单调的温度依赖性发散行为，这与传统的一维FPU-β模式中的最近邻模式中与温度无关的普遍发散方式形成了鲜明的对比（NN）仅耦合。我们还讨论了这一发现的潜在机制，通过分析离散呼吸子的性质的温度变化，特别是具有带内分量的频率。研究结果可为建立宏观热输运性质与一维系统动力学之间的联系提供有用的信息。
We show numerically that introducing the next-nearest-neighbor interactions (of appropriate strength) into the one-dimensional (1D) Fermi-Pasta-Ulam-β (FPU-β) lattice can result in an unusual, nonmonotonic temperature dependent divergence behavior in a wide temperature range, which is in clear contrast to the universal divergence manner independent of temperature as suggested previously in the conventional 1D FPU-β models with nearest-neighbor (NN) coupling only. We also discuss the underlying mechanism of this finding by analyzing the temperature variations of the properties of discrete breathers, especially that with frequencies having the intraband components. The results may provide useful information for establishing the connection between the macroscopic heat transport properties and the underlying dynamics in general 1D systems with interactions beyond NN couplings.