Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Singularity Functions for Shear01:26

Singularity Functions for Shear

459
In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous  variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the...
459
Diffusion01:12

Diffusion

222.3K
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...
222.3K
Diffusion01:21

Diffusion

6.7K
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...
6.7K
Singularity Functions for Bending Moment01:18

Singularity Functions for Bending Moment

577
Singularity functions simplify the representation of bending moments in beams subjected to discontinuous loading, allowing the use of a single mathematical expression. For a supported beam AB, with uniform loading from its midpoint M to the right side end B, the approach involves conceptual 'cuts' at specific points to determine the bending moment in each segment. By cutting the beam at a point between A and M, the bending moment for the segment before reaching midpoint M is represented using a...
577
Support Reactions in Three Dimensions01:27

Support Reactions in Three Dimensions

1.7K
Support reactions in three dimensions help maintain the stability and equilibrium of various structures and systems. These reactions prevent the system from translating and rotating, ensuring the design can withstand external forces and perform its intended function efficiently and safely. Some of the supports providing support reactions in three dimensions are discussed below:
Ball and Socket Joint is one of the supports allowing free rotation about any axis. This freedom of rotation is...
1.7K
Relative Velocity in One Dimension01:10

Relative Velocity in One Dimension

11.1K
The understanding of the concept of reference frames is essential to discuss relative motion in one or more dimensions. When we say that an object has a certain velocity, we must state the velocity with respect to a given reference frame. In most examples, this reference frame has been Earth. For instance, if a statement reads that a person is sitting in a train moving at 10 m/s east, then it implies that the person on the train is moving relative to the surface of Earth at this velocity,...
11.1K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Moon phases influence encounters of anurans in the Brazilian semi-arid region of Piauí.

Brazilian journal of biology = Revista brasleira de biologia·2026
Same author

Morphology of ovaries and spermatheca of Atta sexdens (Hymenoptera: Formicidae) queens: implications for oviposition rates.

Brazilian journal of biology = Revista brasleira de biologia·2026
Same author

Foundation and early survival of Atta sexdens rubropilosa (Hymenoptera: Formicidae) colonies in contrasting environments.

Scientific reports·2026
Same author

Foundation and architecture of leaf-cutting ant nests in the genus Atta Fabricius (Hymenoptera:Formicidae).

Brazilian journal of biology = Revista brasleira de biologia·2025
Same author

Scaling laws of chemical and Euclidean distances in critical percolation trees.

Physical review. E·2025
Same author

Chrysopidae, Coccinellidae and Syrphidae in a Pinus taeda plantation, infested by Cinara atlantica (Hemiptera: Aphididae), in the Atlantic Forest biome.

Brazilian journal of biology = Revista brasleira de biologia·2025

Related Experiment Video

Updated: Feb 15, 2026

Fabrication of Spatially Confined Complex Oxides
08:45

Fabrication of Spatially Confined Complex Oxides

Published on: July 1, 2013

10.2K

Confined sandpile in two dimensions: Percolation and singular diffusion.

R S Pires1, A A Moreira1, H A Carmona1

  • 1Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Ceará, Brazil.

Physical Review. E
|January 20, 2018
PubMed
Summary

This study explores a two-state sandpile model with a confining potential, revealing two scale-invariant regimes. These regimes are characterized by power-law distributions in cluster size and jump size, offering insights into complex system dynamics.

More Related Videos

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

12.6K
Creating Two-Dimensional Patterned Substrates for Protein and Cell Confinement
08:36

Creating Two-Dimensional Patterned Substrates for Protein and Cell Confinement

Published on: September 6, 2011

13.1K

Related Experiment Videos

Last Updated: Feb 15, 2026

Fabrication of Spatially Confined Complex Oxides
08:45

Fabrication of Spatially Confined Complex Oxides

Published on: July 1, 2013

10.2K
Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

12.6K
Creating Two-Dimensional Patterned Substrates for Protein and Cell Confinement
08:36

Creating Two-Dimensional Patterned Substrates for Protein and Cell Confinement

Published on: September 6, 2011

13.1K

Area of Science:

  • Complex Systems
  • Statistical Physics
  • Dynamical Systems

Background:

  • Sandpile models are used to study self-organized criticality.
  • Confining potentials can alter the behavior of dynamical systems.
  • Understanding phase transitions in confined systems is crucial.

Purpose of the Study:

  • To investigate the properties of a two-state sandpile model under a confining potential in 2D.
  • To identify and characterize different dynamical regimes.
  • To analyze the emergence of scale-invariant behaviors.

Main Methods:

  • Derivation of a diffusion equation from microdynamical description.
  • Analysis of stationary solutions for parabolic confining potentials.
  • Study of cluster size and jump size distributions.
  • Fractal dimension analysis of cluster frontiers.

Main Results:

  • Observation of two distinct scale-invariant regimes.
  • Power-law distribution in cluster size near the percolation threshold.
  • Evidence of gradient percolation characteristics.
  • Power-law distribution in jump size with increasing confinement.
  • Onset of the second regime signaled by energy fluctuation maximum.

Conclusions:

  • The confining potential induces distinct scale-invariant regimes in the sandpile model.
  • The observed regimes are linked to percolation phenomena and system-wide coalescence.
  • Energy fluctuation analysis can signal transitions in complex systems.