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

First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

7.1K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
7.1K
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

5.2K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
5.2K
Dimensional Analysis01:23

Dimensional Analysis

1.1K
Dimensional analysis is a powerful tool that is used in physics and engineering to understand and predict the behavior of physical systems. The basic idea behind dimensional analysis is to express physical quantities in terms of fundamental dimensions such as the mass, length, and time. Derived dimensions like the velocity, acceleration, and force are derived from the combinations of these fundamental dimensions.
Dimensional analysis allows us to analyze and compare physical quantities on a...
1.1K
Collisions in Multiple Dimensions: Introduction01:05

Collisions in Multiple Dimensions: Introduction

5.6K
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...
5.6K
Dimensionless Groups in Fluid Mechanics01:15

Dimensionless Groups in Fluid Mechanics

462
Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...
462
Force and Potential Energy in One Dimension01:13

Force and Potential Energy in One Dimension

5.6K
Force can be calculated from the expression for potential energy, which is a function of position. The component of a conservative force, in a particular direction, equals the negative of the derivative of the corresponding potential energy with respect to the displacement in that direction. For regions where potential energy changes rapidly with displacement, the work done and force is maximum. Also, when force is applied along the positive coordinate axis, the potential energy decreases with...
5.6K

You might also read

Related Articles

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

Sort by
Same author

Order Lot Sizing: Insights from Lattice Gas-Type Model.

Entropy (Basel, Switzerland)·2025
Same author

Finite dimension unravels the structural features at the glass transition.

The European physical journal. E, Soft matter·2021
Same author

Adsorption of interacting particles on bivariate diffusion-limited aggregates.

The European physical journal. E, Soft matter·2021
Same author

Subtilase cytotoxin encoding genes are present in human, sheep and deer intimin-negative, Shiga toxin-producing Escherichia coli O128:H2.

Veterinary microbiology·2012
Same author

Patterns of mating-system evolution in hermaphroditic animals: correlations among selfing rate, inbreeding depression, and the timing of reproduction.

Evolution; international journal of organic evolution·2011
Same author

A zoonotic ringworm outbreak caused by a dysgonic strain of Microsporum canis from stray cats.

Revista iberoamericana de micologia·2010

Related Experiment Video

Updated: Sep 26, 2025

Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders
10:10

Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders

Published on: December 4, 2020

1.9K

Finite dimension and particle heterogeneous DLAs.

Juan M Alonso1, Fabricio Orlando Sanchez-Varretti2

  • 1(BIOS) IMASL-CONICET, Dpto. de Matemática, Universidad Nacional de San Luis, Ejército de Los Andes 950, 5700, San Luis, Argentina. jm31415ac@gmail.com.

The European Physical Journal. E, Soft Matter
|April 21, 2022
PubMed
Summary

Heterogeneous Diffusion Limited Aggregates (DLAs) exhibit complex fractal dimensions. Particle mixing proportions unexpectedly influence DLA complexity, revealing counter-intuitive behaviors not predicted by simple models.

More Related Videos

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

8.0K
Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy
09:16

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Published on: January 9, 2017

14.5K

Related Experiment Videos

Last Updated: Sep 26, 2025

Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders
10:10

Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders

Published on: December 4, 2020

1.9K
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

8.0K
Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy
09:16

Measurement of Particle Size Distribution in Turbid Solutions by Dynamic Light Scattering Microscopy

Published on: January 9, 2017

14.5K

Area of Science:

  • Physics
  • Materials Science
  • Complex Systems

Background:

  • Diffusion Limited Aggregates (DLAs) are fractal structures formed by particles aggregating under diffusion control.
  • Understanding DLA formation is crucial in fields ranging from material science to biology.
  • Previous studies primarily focused on homogeneous DLAs composed of a single particle type.

Purpose of the Study:

  • To investigate the fractal properties of heterogeneous DLAs formed by mixtures of 4-legged and 2-legged particles.
  • To analyze how varying proportions of these particles affect the finite dimension of the resulting aggregates.
  • To explain the underlying mechanisms behind the observed counter-intuitive behavior in heterogeneous DLA complexity.

Main Methods:

  • Simulating the formation of heterogeneous DLAs with varying ratios of 4-legged and 2-legged particles.
  • Calculating the finite dimension, a measure of fractal complexity, for each DLA configuration.
  • Analyzing the structural changes and growth patterns associated with different particle proportions.

Main Results:

  • Heterogeneous DLAs exhibit a non-monotonic trend in their finite dimension as particle proportions change.
  • Maximum complexity is observed when the ratio of 4-legged to 2-legged particles is approximately 30:70.
  • DLAs transition from complex, nature-like structures to lattice-dominated forms as the proportion of 2-legged particles increases.

Conclusions:

  • The finite dimension of heterogeneous DLAs does not decrease monotonically with increasing proportions of 2-legged particles.
  • An unexpected peak in complexity arises from specific mixing ratios, challenging previous assumptions.
  • The study provides insights into the mechanisms governing the formation and structural properties of complex, mixed-particle fractal systems.