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相关概念视频

Diffusion01:12

Diffusion

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Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
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Diffusion01:21

Diffusion

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Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
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Protein Diffusion in the Membrane01:24

Protein Diffusion in the Membrane

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Proteins show rotational as well as lateral diffusion across the membrane. The lateral diffusion of proteins was confirmed through the cell fusion experiment where mouse and human cells were fused, resulting in hybrid cells. When the human and mouse cells fused, the specific membrane proteins on human and mouse cells were marked with the red and green-fluorescent markers, respectively. Initially, the red and green fluorescence was located on the respective hemisphere of the cell. As time...
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Carrier Generation and Recombination01:22

Carrier Generation and Recombination

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Carrier generation is the process by which electron-hole pairs (EHPs) are created within the semiconductor. In direct-bandgap semiconductors, such as gallium arsenide (GaAs), this occurs efficiently when energy absorption prompts valence electrons to leap into the conduction band, leaving behind holes.
This process is given by the generation rate G and is efficient due to the conservation of momentum between the valence band maximum and conduction band minimum.
Indirect generation involves an...
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Atomic Nuclei: Types of Nuclear Relaxation01:28

Atomic Nuclei: Types of Nuclear Relaxation

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Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers...
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Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion

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Although gaseous molecules travel at tremendous speeds (hundreds of meters per second), they collide with other gaseous molecules and travel in many different directions before reaching the desired target. At room temperature, a gaseous molecule will experience billions of collisions per second. The mean free path is the average distance a molecule travels between collisions. The mean free path increases with decreasing pressure; in general, the mean free path for a gaseous molecule will be...
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相关实验视频

Updated: Jan 14, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

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在格子上使用随机重置的扩散.

Alexander K Hartmann1, Satya N Majumdar2

  • 1Universität Oldenburg, Institut für Physik, D-26111 Oldenburg, Germany.

Physical review. E
|October 21, 2025
PubMed
概括
此摘要是机器生成的。

我们得出了一种精确的公式,用于在有重置的格子上进行粒子扩散. 平均首次通道时间显示了格子上的独特行为,与连续模型不同,特别是在目标附近.

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相关实验视频

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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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The Diffusion of Passive Tracers in Laminar Shear Flow
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科学领域:

  • 统计物理 统计物理
  • 凝聚物质物理学 凝聚物质物理学
  • 数学物理学的数学物理.

背景情况:

  • 在各种科学领域中,粒子扩散是基本的.
  • 连续模型经常简化基于格子的扩散现象.
  • 了解重置的扩散对于优化搜索策略至关重要.

研究的目的:

  • 在一个具有重置的d维超立方格上推导一个扩散粒子的平均首次通道时间 (MFPT) 的准确公式.
  • 探索格子对扩散和重置动态的特异性影响.
  • 将格子结果与现有的连续理论进行比较.

主要方法:

  • 准确的分析公式推导为MFPT.
  • 对缩放极限的分析,以恢复连续空间的结果.
  • 参数空间的调查,包括格子尺寸和重置率.
  • 数字模拟用于验证.

主要成果:

  • 获得了重置格子上的MFPT的准确公式,适用于所有参数.
  • 观察到格子特定的MFPT行为,在低和高的重置速率之间有分歧,其中的最小值.
  • 发现了MFPT的独特的力量法分歧,其指数取决于起始位置.
  • 对于目标的最近邻居,MFPT随着重置速度单调地减少,接近一个通用极限.

结论:

  • 带有重置的格子扩散展示了连续理论无法捕捉到的独特现象.
  • 起始位置显著影响MFPT,特别是其差异指数.
  • 重置策略可以根据格子几何和目标近距离优化.