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Related Concept Videos

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...
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...
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...
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model01:09

Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the concentration...
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...
Passive Diffusion: Overview and Kinetics01:17

Passive Diffusion: Overview and Kinetics

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 their diffusion into...

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Intermediate regimes in granular Brownian motion: superdiffusion and subdiffusion.

Anna Bodrova1, Awadhesh Kumar Dubey, Sanjay Puri

  • 1Faculty of Physics, M. V. Lomonosov Moscow State University, Moscow 119991, Russia.

Physical Review Letters
|December 11, 2012
PubMed
Summary
This summary is machine-generated.

Brownian motion in granular gases shows complex dynamics, transitioning from ballistic to subdiffusion. This study reveals generic intermediate diffusion regimes in granular systems with velocity-dependent restitution.

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Area of Science:

  • Statistical mechanics
  • Granular materials science
  • Soft matter physics

Background:

  • Granular gases exhibit unique thermodynamic properties distinct from ideal gases.
  • Understanding Brownian motion in granular media is crucial for diverse applications.
  • The restitution coefficient's dependence on impact velocity significantly influences system dynamics.

Purpose of the Study:

  • To theoretically and computationally investigate Brownian motion in a homogeneous cooling granular gas.
  • To analyze the impact of velocity-dependent restitution on Brownian particle dynamics.
  • To identify and characterize the different diffusion regimes experienced by Brownian particles.

Main Methods:

  • Theoretical analysis using a first-principles model for viscoelastic spheres.
  • Molecular dynamics simulations to validate theoretical predictions.
  • Examination of the ratio of granular temperatures between Brownian and bath particles.

Main Results:

  • A complex, non-monotonic behavior in the granular temperature ratio was observed.
  • Brownian dynamics transitions through ballistic, superballistic, and subdiffusion regimes.
  • Theoretical predictions show excellent agreement with molecular dynamics simulations.

Conclusions:

  • The observed intermediate diffusion regimes are generic for granular gases with realistic restitution coefficient dependencies.
  • The study provides fundamental insights into the complex dynamics of Brownian motion in granular systems.
  • Further research is needed to fully characterize the final normal diffusion regime due to computational limitations.