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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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Diffusion01:12

Diffusion

215.9K
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...
215.9K
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models00:57

Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models

326
Physiological pharmacokinetic models, often called flow-limited or perfusion models, typically assume a swift drug distribution between tissue and venous blood, creating a rapid drug equilibrium. This premise is based on the idea that drug diffusion is extremely fast, and the cell membrane presents no barrier to drug permeation. In this scenario, where no drug binding occurs, the drug concentration in the tissue equals that of the venous blood leaving the tissue. This greatly simplifies the...
326
Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

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

31.1K
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...
31.1K
Passive Diffusion: Overview and Kinetics01:17

Passive Diffusion: Overview and Kinetics

1.2K
Passive diffusion is a critical process that allows small lipophilic drugs to cross the cell membrane along a concentration gradient. This mechanism's efficiency depends on four primary factors: the membrane's surface area, the drug's lipid-water partition coefficient, the concentration gradient, and the membrane's thickness.
When administered orally, drugs establish a substantial concentration gradient between the gastrointestinal (GI) lumen and the bloodstream, expediting...
1.2K
Reynolds Transport Theorem01:24

Reynolds Transport Theorem

1.8K
The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit...
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相关实验视频

Updated: Jan 12, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
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The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

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小规模分数运输模型的扩散特性

Paolo Cifani1, Franco Flandoli1

  • 1Department of Mathematics, Scuola Normale Superiore, Piazza dei Cavalieri, 7, Pisa, Italy.

Journal of statistical physics
|October 31, 2025
PubMed
概括
此摘要是机器生成的。

研究了复杂速度场中的随机运输. 将空间结构与持久的分数高斯噪声 (FGN) 混合在一起,会导致被动粒子的布朗扩散.

关键词:
分数布朗运动是什么? 分数布朗运动是什么?赫斯特的参数是赫斯特的参数欧恩斯坦 - 乌伦贝克地区静态流体粒子 静态流体粒子随机运输 随机运输 随机运输 随机运输

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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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Combining Fluidic Devices with Microscopy and Flow Cytometry to Study Microbial Transport in Porous Media Across Spatial Scales
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相关实验视频

Last Updated: Jan 12, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
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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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科学领域:

  • 物理 物理学 物理
  • 应用数学 应用数学 应用数学
  • 复杂的系统复杂的系统.

背景情况:

  • 随机运输现象在各种科学领域至关重要.
  • 了解复杂的粒子动力学,流般的速度场仍然是一个挑战.
  • 分数高斯噪声 (FGN) 提供了一种方法来建模持久的随机过程.

研究的目的:

  • 在FGN驱动的速度场中对随机运输进行数值研究.
  • 开发一个统一的模型来比较不同时空结构在随机运输.
  • 分析FGN持久性对粒子扩散的影响.

主要方法:

  • 随机运输的数值研究. 随机运输.
  • 使用FGN激活的无分歧向量场的叠加来建模速度场.
  • 使用奥恩斯坦-乌伦贝克近似,并采取白噪声极限进行模型比较.
  • 分析福里埃元件以了解空间结构和FGN内存的作用.

主要成果:

  • 建立了一个模型,通过将动能正常化,在平等的基础上比较不同的时空结构.
  • 一个关键的发现是,混合空间结构与持久的FGN相结合,导致经典的布朗扩散.
  • 确定扩散系数,并显示FGN的记忆在速度场的空间复杂性内丢失.

结论:

  • 该研究为分析复杂速度场中的随机运输提供了一个框架.
  • 它表明,空间复杂性可以有效地使持久的时间相关性均质化,从而导致简单的扩散.
  • 这项研究有助于理解异常扩散和布朗运动从复杂动态的出现.