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相关概念视频

Gauss's Law01:07

Gauss's Law

9.3K
If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
9.3K
Molecular Comparison of Gases, Liquids, and Solids02:26

Molecular Comparison of Gases, Liquids, and Solids

53.0K
Particles in a solid are tightly packed together (fixed shape) and often arranged in a regular pattern; in a liquid, they are close together with no regular arrangement (no fixed shape); in a gas, they are far apart with no regular arrangement (no fixed shape). Particles in a solid vibrate about fixed positions (cannot flow) and do not generally move in relation to one another; in a liquid, they move past each other (can flow) but remain in essentially constant contact; in a gas, they move...
53.0K
Deriving the Speed of Sound in a Liquid01:09

Deriving the Speed of Sound in a Liquid

878
As with waves on a string, the speed of sound or a mechanical wave in a fluid depends on the fluid's elastic modulus and inertia. The two relevant physical quantities are the bulk modulus and the density of the material. Indeed, it turns out that the relationship between speed and the bulk modulus and density in fluids is the same as that between the speed and the Young's modulus and density in solids.
The speed of sound in fluids can be derived by considering a mechanical wave...
878
Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

2.5K
Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector...
2.5K
Gauss's Law in Dielectrics01:17

Gauss's Law in Dielectrics

5.0K
Consider a polar dielectric placed in an external field. In such a dielectric, opposite charges on adjacent dipoles neutralize each other, such that the net charge within the dielectric is zero. When a polar dielectric is inserted in between the capacitor plates, an electric field is generated due to the presence of net charges near the edge of the dielectric and the metal plates interface. Since the external electrical field merely aligns the dipoles, the dielectric as a whole is neutral. An...
5.0K

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Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels
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Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

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从散射数据中推断液体结构的物理信息的高斯过程推断.

Harry Winston Sullivan1, Matej Cervenka2, Brennon L Shanks2

  • 1Department of Chemical Engineering and Material Science, University of Minnesota - Twin Cities, Minneapolis, Minnesota 55455, United States.

The journal of physical chemistry. B
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概括
此摘要是机器生成的。

这项研究引入了一个新的贝叶斯框架,使用非静止的高斯过程来准确地从散射数据中确定液体结构. 该方法为辐射分布函数提供可靠的不确定性量化.

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科学领域:

  • 计算物理学的计算物理.
  • 统计力学就是统计力学.
  • 材料科学 是一种材料科学.

背景情况:

  • 从散射数据中推断液体结构对于理解材料特性至关重要.
  • 传统的方法面临着数字挑战,如离散区分和探测器窗口.
  • 量化辐射分布函数中的不确定性对于可靠的分析至关重要.

研究的目的:

  • 开发一个强大的非参数贝叶斯框架来推断半径分布函数.
  • 为了解决分散数据的里埃变换中的数值挑战.
  • 为实验结构分析提供准确的不确定性量化.

主要方法:

  • 为了贝叶斯推理框架,利用了非静止的高斯过程.
  • 设计了高斯过程前平均值和内核函数,以处理里埃转换的挑战.
  • 从高斯过程后面实现了不确定性传播.

主要成果:

  • 从散射测量结果中成功推断出辐射分布函数.
  • 证明了对衍生函数的有效不确定性量化.
  • 使用液体和水的实验数据验证了该方法.

结论:

  • 建议的贝叶斯框架为液体的结构分析提供了一种可靠的方法.
  • 这种方法为分子模型和实验数据解释提供了一个基准.
  • 该框架成功地整合了物理知识,同时减轻了数字问题.