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相关概念视频

Gauss's Law: Problem-Solving01:10

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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...
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In everyday conversation, accelerating means speeding up. Acceleration is a vector in the same direction as the change in velocity, Δv, therefore the greater the acceleration, the greater the change in velocity over a given time. Since velocity is a vector, it can change in magnitude, direction, or both. Thus acceleration is a change in speed or direction, or both. For example, if a runner traveling at 10 km/h due east slows to a stop, reverses direction, and continues their run at 10 km/h...
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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.
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A slider-crank mechanism converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three main parts: the crank, the connecting rod, and the slider. The movement of the slider-crank is an example of general plane motion as the fluctuating angle between the crank and the connecting rod. Consider a segment AB where point A is at the end of the slider and point B is on the diametrically opposite end to point A, on a crack. The variance in...
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Gauss's Law: Planar Symmetry01:27

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A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
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Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
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通过稀疏高斯过程加速材料发现 机器学习潜力

Miran Ha1, Saeed Pourasad1, Chang Woo Myung2,3,4

  • 1Center for Superfunctional Materials, Department of Chemistry, Ulsan National Institute of Science and Technology, Ulsan 44919, Republic of Korea.

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概括
此摘要是机器生成的。

稀疏高斯过程回归 (SGPR) 能够以最小的数据进行准确的量子模拟,加速电池和太阳能电池的材料发现. 这种机器学习方法为复杂的化学系统提供了显著的加速度和不确定性量化.

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科学领域:

  • 计算材料科学科学 计算材料科学
  • 机器学习在化学中的应用
  • 量子力学就是量子力学.

背景情况:

  • 量子力学计算提供了高精度,但在计算上是昂贵的,限制模拟到小系统.
  • 用于电池和太阳能电池等先进应用的材料发现需要以现实的规模进行模拟.
  • 现有的机器学习潜力往往需要大量的培训数据,这对广泛采用构成了瓶.

研究的目的:

  • 将稀疏高斯过程回归 (SGPR) 作为材料模拟的统计严格的机器学习框架.
  • 使用最小的训练数据实现量子级准确性,并提供校准的不确定性估计.
  • 为了实现更快,更准确的模拟材料发现.

主要方法:

  • 开发了一个稀疏高斯过程回归 (SGPR) 框架,利用等级减少和信息化化学环境的智能选择.
  • 实施了即时自适应采样策略,以触发基于模型不确定性的新量子计算.
  • 采用强大的贝叶斯委员会机器 (RBCM) 架构来分割和组合复杂系统的专业专家模型.

主要成果:

  • 与其他方法相比,SGPR通过100-1000次量子计算实现了实际准确性,大大降低了数据需求.
  • 证明了SGPR在模拟固体电解质 (Li7P3S11),矿太阳能电池,电催化剂 (Pt-C2N2) 和有机系统方面的多功能性.
  • 实现了相当大的加速度 (高达10^4x),并揭示了机械学的见解,例如稳定矿太阳能电池中的中间层.

结论:

  • 在训练数据有限,不确定性量化至关重要时,SGPR-RBCM框架为材料模拟提供了显著的优势.
  • 能够以接近经典计算成本进行量子精确的模拟,加速高通量选.
  • 提供了一条通往全面机器学习潜力的途径,用于在清洁能源和电子产品中转化材料发现.