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相关概念视频

Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

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A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half...
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Gravitation Between Spherically Symmetric Masses01:14

Gravitation Between Spherically Symmetric Masses

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The gravitational potential energy between two spherically symmetric bodies can be calculated from the masses and the distance between the bodies, assuming that the center of mass is concentrated at the respective centers of the bodies.
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Mohr's Circle for Moments of Inertia01:10

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Mohr's circle is a graphical method to determine an area's principal moments of inertia by plotting the moments and product of inertia on a rectangular coordinate system.
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Circular Orbits and Critical Velocity for Satellites01:16

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The Moon orbits around the Earth. In turn, the Earth (and other planets) orbit the Sun. The space directly above our atmosphere is filled with artificial satellites in orbit. One can examine the circular orbit, the simplest kind of orbit, to understand the relationship between the speed and the period of planets and satellites with respect to their positions and the bodies that they orbit.
Nicolaus Copernicus (1473-1543) first suggested that the Earth and all other planets orbit the Sun in...
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Spherical Coordinates01:23

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Spherical coordinate systems are preferred over Cartesian, polar, or cylindrical coordinates for systems with spherical symmetry. For example, to describe the surface of a sphere, Cartesian coordinates require all three coordinates. On the other hand, the spherical coordinate system requires only one parameter: the sphere's radius. As a result, the complicated mathematical calculations become simple. Spherical coordinates are used in science and engineering applications like electric and...
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Gravity between Spherical Bodies01:27

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Newton's law of gravitation describes the gravitational force between any two point masses. However, for extended spherical objects like the Earth, the Moon, and other planets, the law holds with an assumption that masses of spherical objects are concentrated at their respective centers.
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Measuring Magnetically-Tuned Ferroelectric Polarization in Liquid Crystals
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在球体上的活性涂料.

Michael Nestler1, Simon Praetorius1, Zhi-Feng Huang2

  • 1Institute of Scientific Computing, Technische Universität Dresden, 01062 Dresden, Germany.

Journal of physics. Condensed matter : an Institute of Physics journal
|January 23, 2024
PubMed
概括
此摘要是机器生成的。

球体上的活性液晶显示出由于活动和球体几何学而加速的缺陷粗化. 一个新的旋转螺旋缺陷决定了最终的稳定状态,为合成和生物活性物质提供了洞察力.

关键词:
有活性的涂料.粗化是一种粗化.拓上的缺陷 拓上的缺陷

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科学领域:

  • 软物质物理学 软物质物理学
  • 活动物质物理学 活动物质物理学
  • 液晶的动力学 液晶的动力学

背景情况:

  • 了解活性物质,特别是液晶的行为,对于开发新材料和新技术至关重要.
  • 将活性物质限制在曲面上引入了复杂的拓和几何约束,影响其动态.
  • 拓缺陷在主动系统的自我组织和新兴行为中起着关键作用.

研究的目的:

  • 为了研究球形表面上活跃的状液晶的动态.
  • 分析这个有限的活跃系统中拓缺陷的形成,消灭和粗化.
  • 识别特征性缺陷并了解它们在确定稳态配置中的作用.

主要方法:

  • 使用活相场晶体模型来模拟系统的行为.
  • 从随机扰动的同位素相开始模拟,观察自发缺陷形成.
  • 随着时间的推移,分析缺陷密度以确定缩放规律和动态指数.

主要成果:

  • 在粗化过程中,拓缺陷的自发形成和随后的消灭.
  • 识别具有明显动态指数的缺陷密度的复杂缩放规律.
  • 与被动或平面系统相比,在球体上加速粗的观察,由活动和几何驱动.
  • 发现了一种新型的旋转螺旋缺陷,这种缺陷是球体上活跃的微积分系统的特征,它决定了稳定状态.

结论:

  • 球体上活跃的状液晶的动力学受到内在活动和系统几何学的显著影响.
  • 球形封闭导致缺陷加快变粗,并产生独特的缺陷结构.
  • 这些发现提供了一个理论框架,可以通过合成或生物活性颗粒的密集系统进行实验验证.