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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...
Infectious Diseases and Their Occurrence01:28

Infectious Diseases and Their Occurrence

Infectious diseases appear in populations through various transmission patterns, influenced by pathogen characteristics, population immunity, environmental conditions, and social behavior. Understanding these patterns is essential for effective public health surveillance and intervention. These categories—sporadic, outbreak, epidemic, pandemic, and endemic—help frame the nature and scope of disease events.Sporadic diseases occur irregularly and infrequently, without a predictable temporal or...
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...
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...
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.

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Related Experiment Video

Updated: May 9, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

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

Published on: September 26, 2016

Critical properties of a superdiffusive epidemic process.

M B da Silva1, A Macedo-Filho, E L Albuquerque

  • 1Departamento de Física, Universidade Federal do Rio Grande do Norte, 59072-970, Natal, Rio Grande do Norte, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 16, 2013
PubMed
Summary

This study models epidemic spread using superdiffusion and Lévy flights. Numerical analysis reveals a second-order phase transition, challenging previous theories and showing continuously varying critical exponents.

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Last Updated: May 9, 2026

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Area of Science:

  • Epidemiology
  • Statistical Physics
  • Complex Systems

Background:

  • Epidemic models often assume simple diffusion for infection spread.
  • Superdiffusion and Lévy flights introduce non-local spread mechanisms.
  • Previous theoretical work suggested a first-order transition in certain epidemic models.

Purpose of the Study:

  • To introduce and numerically investigate a one-dimensional superdiffusive epidemic model.
  • To explore critical behavior in both diffusive and superdiffusive regimes.
  • To determine critical exponents and compare with existing theories.

Main Methods:

  • Development of a one-dimensional epidemic process model with distinct jump probabilities for healthy and infected individuals.
  • Utilizing power-law distributed jumps (P(ℓ) ∝ 1/ℓ^μ) to model superdiffusion (μ<3) and diffusion (μ≥3).
  • Employing finite-size scaling analysis to determine critical points and exponents.

Main Results:

  • All numerical data support a second-order phase transition.
  • Critical exponents vary continuously with the exponent μ.
  • The observed critical behavior does not align with the directed percolation universality class.

Conclusions:

  • The study provides strong numerical evidence against a first-order transition in the D(A)>D(B) diffusion regime.
  • The findings highlight the importance of superdiffusive processes in epidemic modeling.
  • Continuously varying critical exponents suggest a novel universality class for this epidemic model.