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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...
Space-Time Curvature and the General Theory of Relativity01:17

Space-Time Curvature and the General Theory of Relativity

In 1905, Albert Einstein published his special theory of relativity. According to this theory, no matter in the universe can attain a speed greater than the speed of light in a vacuum, which thus serves as the speed limit of the universe.
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of motion,...
Theories of Dissolution: Diffusion Layer Model01:15

Theories of Dissolution: Diffusion Layer Model

Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
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...
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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Related Experiment Video

Updated: May 14, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Diffusion in multiscale spacetimes.

Gianluca Calcagni1

  • 1Albert Einstein Institute, Max Planck Institute for Gravitational Physics, Am Mühlenberg 1, D-14476 Golm, Germany. calcagni@iem.cfmac.csic.es

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 16, 2013
PubMed
Summary
This summary is machine-generated.

This study explores diffusion in quantum geometry models. We present diffusion equations and stochastic processes applicable to anomalous and multifractal spacetimes, constructing their spectral dimension profiles.

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Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • Mathematical Physics

Background:

  • Diffusion processes are fundamental in physics.
  • Anomalous spacetimes offer models for quantum geometry.
  • Understanding diffusion in these contexts is crucial.

Purpose of the Study:

  • To investigate diffusion processes within models of quantum geometry.
  • To present various diffusion equations and their solutions.
  • To identify associated stochastic processes for anomalous and multifractal spacetimes.

Main Methods:

  • Analysis of diffusion equations and their mathematical solutions.
  • Identification of stochastic processes linked to diffusion.
  • Construction of spectral-dimension profiles for multifractional spaces.
  • Leveraging concepts from probability theory and percolation theory.

Main Results:

  • Several types of diffusion equations and their solutions are presented.
  • Associated stochastic processes for quantum spacetime diffusion are identified.
  • The general spectral-dimension profile for multifractional spaces is constructed.

Conclusions:

  • The study provides a framework for understanding diffusion in quantum geometric models.
  • Results offer new interpretations of diffusion in anomalous and multifractal spacetimes.
  • The findings contribute to the study of quantum gravity and related fields.