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首页> 外文会议>The 2001 ASME International Mechanical Engineering Congress and Exposition, 2001, Nov 11-16, 2001, New York, New York >HEAT AND CHARGE CONDUCTIVITIES IN SUPERLATTICES - TWO-SCALE MEASURING AND MODELING
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HEAT AND CHARGE CONDUCTIVITIES IN SUPERLATTICES - TWO-SCALE MEASURING AND MODELING

机译：超晶格中的导热率和充电率-两种测量和建模

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摘要

Conventional reasoning and established procedures for measurement of heat and charge conductivities at the continuum micrometer scale, or higher scales, results in a number of variables and physical entities being the subject of measurement. These variables themselves are not point values if to define them with the lower scale concepts. When the media overall properties are sought, their dependence on lower (smaller) scale physical phenomena and their mathematical descriptions need to be considered and incorporated into the higher (larger) scale description and mathematical modeling. This is not a new problem. How to treat or solve multi-scale problems is the issue. Effective scaled heat and charge conductivity are studied for a morphologically simple ID layered heterostruc-ture with the number of components being n 2 , the effective scaled heat and charge conductivities. It is a two-scale media with the lower scale physics of energy and charge carriers being described by commonly used models. A continuum <-> continuum description of ηm <-> μmtransport of electron - phonon energy fields, as well as the electromagnetic and temperature fields for ηm scale coupled with the microscale (μm) mathematical models are studied. The medium is heterogeneous because it has multiple phases, volumetric phases 1, 2, 3 .... and (n+m) phases that are the interfaces between volumetric phases. The fundamental peculiarities of interface transport and hierarchical mathematical coupling bring together issues that have never actually been addressed correctly. It is shown that accurate accounting for scale interactions and, as is inevitable in scaled problems, application of fundamental theorems to a scaled description of the Laplace and V operators bring to the upper scales completely different mathematical governing equations and models. We have conducted and report some preliminary-quantitative assessment of the differences between the static upper scale and transient nanoscale transport coefficients and show how the lattice morphology and its irregularities influence the effective conductivities.
机译：在连续微米级或更高等级上测量热量和电荷电导率的常规推理和既定程序会导致许多变量和物理实体成为测量对象。如果使用较低比例的概念定义这些变量，则它们本身不是点值。当寻找介质的整体特性时，需要考虑它们对低（较小）尺度物理现象及其数学描述的依赖性，并将其纳入较高（较大）尺度的描述和数学模型中。这不是一个新问题。问题是如何治疗或解决多尺度问题。对于组分数量为n 2的形态简单的ID层状异质结构，研究了有效的按比例缩放的热和电荷电导率，即有效的按比例缩放的热和电荷电导率。它是一种两尺度的介质，其能量和电荷载流子的物理性质较低，由常用模型描述。研究了电子-声子能量场的ηm<->μm传输的连续性连续描述，以及ηm尺度的电磁场和温度场以及微尺度（μm）数学模型。该介质是非均质的，因为它具有多个相，即体积相1、2、3 ....和（n + m）相，它们是体积相之间的界面。接口传输和层次化数学耦合的基本特性将从未真正正确解决的问题放在一起。结果表明，对尺度相互作用的精确解释以及在定标问题中不可避免的是，将基本定理应用到对Laplace和V算子的定标描述中，将完全不同的数学控制方程式和模型带到了较高尺度。我们已经进行并报告了一些静态上规模和瞬态纳米级迁移系数之间差异的初步定量评估，并显示了晶格形态及其不规则性如何影响有效电导率。

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