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Related Concept Videos

Diffusion01:21

Diffusion

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...
Diffusion01:12

Diffusion

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...
Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion03:48

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

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...
Protein Diffusion in the Membrane01:24

Protein Diffusion in the Membrane

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...
Diffusion on Chromatography Columns01:07

Diffusion on Chromatography Columns

In column chromatography, when an analyte is introduced as a narrow band at the top of the column, the solutes begin to separate and broaden, developing a Gaussian profile. This broadening occurs due to various factors, such as longitudinal diffusion.
Longitudinal diffusion occurs when the solute molecules in the mobile phase diffuse from the more concentrated center of the chromatographic band to the more dilute regions on either side, both towards and against the flow direction. This...
Collisions in Multiple Dimensions: Introduction01:05

Collisions in Multiple Dimensions: Introduction

It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a problem,...

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The Diffusion of Passive Tracers in Laminar Shear Flow
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Published on: May 1, 2018

Diffusion in a collisional standard map.

M Rack1, K H Spatschek, A Wingen

  • 1Institut für Theoretische Physik, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany.

Chaos (Woodbury, N.Y.)
|July 5, 2012
PubMed
Summary
This summary is machine-generated.

This study evaluates particle diffusion with magnetic field fluctuations and collisions. It confirms the Rechester-Rosenbluth regime and shows the Kadomtsev-Pogutse diffusion coefficient as a strong collisional limit.

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Area of Science:

  • Plasma Physics
  • Fusion Energy
  • Astrophysical Plasmas

Background:

  • Charged particles in magnetized plasmas are influenced by magnetic field fluctuations and collisions.
  • Resonant magnetic perturbations (RMPs) can lead to chaotic magnetic field lines, affecting particle transport.
  • Understanding particle diffusion is crucial for plasma confinement and understanding astrophysical phenomena.

Purpose of the Study:

  • To evaluate the diffusion coefficient of test particles in plasmas with magnetic field fluctuations and binary collisions.
  • To investigate the scaling of diffusion beyond quasilinear and subdiffusive behaviors.
  • To verify the appearance of the Rechester-Rosenbluth regime and its relation to other diffusion models.

Main Methods:

  • Modeling binary collisions using a constant collision frequency.
  • Utilizing a collisional Chirikov-Taylor (standard) map to simulate single-particle motion.
  • Analyzing diffusion dependence on magnetic perturbation strength and collision frequency.
  • Supplementing theoretical estimates with numerical simulations.

Main Results:

  • The study confirms the existence of the Rechester-Rosenbluth diffusion regime.
  • It is demonstrated that the Kadomtsev-Pogutse diffusion coefficient represents the strong collisional limit of the Rechester-Rosenbluth formula.
  • Diffusion scaling beyond quasilinear and subdiffusive behaviors was investigated.

Conclusions:

  • The interplay between magnetic field perturbations and collisions significantly impacts particle diffusion.
  • The Rechester-Rosenbluth regime is a key feature of particle transport in such systems.
  • The findings contribute to a better understanding of particle dynamics in magnetized plasmas relevant to fusion and astrophysics.