摘要翻译：
用非平衡分子动力学模拟方法研究了三维非线性晶格模型中的热传导问题。我们采用FPU模型，在双二次型的相互作用中存在非线性。证实了在128×128×256晶格位的体系中，热导率，即能流与温度梯度的比值是发散的。这个尺寸对应于几十纳米的纳米到介观尺度。根据这些结果，我们推测完全晶序绝缘体中的能量输运表现出反常行为。本文还考察了晶格结构、随机杂质和自然长度对相互作用的影响。我们发现面心立方(fcc)晶格比简单立方晶格表现出更强的发散性。当质量无限大的杂质位（因此是固定的）随机分布时，这种散度就消失了。
---
英文标题：
《Anomalous Heat Conduction in Three-Dimensional Nonlinear Lattices》
---
作者：
Hayato Shiba and Nobuyasu Ito
---
最新提交年份：
2008
---
分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
--
一级分类：Physics        物理学
二级分类：Computational Physics        计算物理学
分类描述：All aspects of computational science applied to physics.
应用于物理学的计算科学的各个方面。
--

---
英文摘要：
  Heat conduction in three-dimenisional nonlinear lattice models is studied using nonequilibrium molecular dynamics simulations. We employ the FPU model, in which there exists a nonlinearity in the interaction of biquadratic form. It is confirmed that the thermal conductivity, the ratio of the energy flux to the temperature gradient, diverges in systems up to 128x128x256 lattice sites. This size corresponds to nanoscopic to mesoscopic scales of several tens of nanometers. From these results, we conjecture that the energy transport in insulators with perfect crystalline order exhibits anomalous behavior. The effects of lattice structure, random impurities, and natural length in interactions are also examined. We find that face-centered cubic (fcc) lattices display stronger divergence than simple cubic lattices. When impurity sites of infinitely large mass, which are hence fixed, are randomly distributed, such divergence vanishes.
---
PDF链接：
https://arxiv.org/pdf/712.1642