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相关概念视频

Theory of Metallic Conduction01:17

Theory of Metallic Conduction

1.3K
The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
1.3K
Electrical Conductivity01:13

Electrical Conductivity

1.1K
In perfect conductors, the electric field inside is always zero due to the abundance of free electrons, which nullify any field by flowing. As a result, any residual charge resides on the surface.
In a practical conductor, an applied electric field may be sustained, causing a flow of electrons, which produce a current. The differential form of the current, the current density, is related to the electric field.
More generally, it is related to the force per unit charge, which involves the...
1.1K
Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

824
Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
824
Carrier Transport01:21

Carrier Transport

414
The generation of electrical current in semiconductors is fundamentally driven by two mechanisms: drift and diffusion. These processes are essential for the functionality and performance of semiconductor-based devices.
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:
414
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

431
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
431

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相关实验视频

Updated: Jun 12, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

8.5K

微观透传导的空间依赖性

Matthew Golden1, Joseph P Straley1

  • 1Department of Physics and Astronomy, <a href="https://ror.org/02k3smh20">University of Kentucky</a> Lexington, Kentucky 40506, USA.

Physical review. E
|September 19, 2024
PubMed
概括

本研究将透网络中的电导率与使用符合性转换的无界网络联系起来. 研究结果证实了这种关系在正方形网络的透值.

科学领域:

  • 物理 物理学 物理
  • 材料科学 材料科学 材料科学
  • 网络理论 网络理论

背景情况:

  • 穿透网络表现出复杂的电气特性.
  • 了解这些系统中的导电性对于各种应用至关重要.
  • 符合性转换提供了一个数学工具来简化复杂的几何形状.

研究的目的:

  • 在有限的透网络中建立边界到点导电性和无限网络中建立点到点导电性之间的关系.
  • 为了验证这种关系的适用性,在透值上使用符合性转换.
  • 为了研究二维透系统的电气特性.

主要方法:

  • 使用符合性转换来映射网络几何形状.
  • 在二维透网络中计算平均电导率.
  • 分析从一个点到网络边界的导电量.
  • 在无边界网络中的两个点之间比较结果与导电量.
  • 验证方格格子的透值的方法.

主要成果:

  • 通过合规映射,通过边界到点和点到点导电量之间建立了直接关系.
  • 符合性转换方法准确地预测了透值的导电性.
  • 这项研究证实了这种方法对二维方形透网络的有效性.

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Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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相关实验视频

Last Updated: Jun 12, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

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Published on: May 1, 2018

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Spatial Temporal Analysis of Fieldwise Flow in Microvasculature
09:39

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

Published on: November 18, 2019

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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结论:

  • 符合性转换提供了一种强大的方法来简化透网络中电导率的分析.
  • 已确定的关系在透值上是正确的,提供了有价值的理论见解.
  • 这项工作验证了对无序系统和电气运输研究的关键理论预测.