Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Conservation of Mass in Moving, Nondeforming Control Volume

Conservation of Mass in Moving, Nondeforming Control Volume

Stormwater detention basins are essential in managing runoff during heavy rainfall, particularly in urban areas where impervious surfaces increase the risk of flooding. Understanding the conservation of mass in these systems allows engineers to optimize basin performance, balancing inflow, outflow, and water storage.
In the context of a detention basin, the conservation of mass states that the total mass of water entering the basin must equal the mass leaving the basin plus any accumulation of...

Conservation of Mass in Fixed, Nondeforming Control Volume

Conservation of Mass in Fixed, Nondeforming Control Volume

The principle of conservation of mass is fundamental in fluid dynamics and is crucial for analyzing flow within fixed control volumes, such as pipes or ducts. This principle states that the total mass within a control volume remains constant unless altered by the inflow or outflow of mass through the control surfaces. This results in a vital relationship for steady, incompressible flow where the mass entering a system equals the mass leaving it.
In the case of a sewer pipe, which can be modeled...

Conservation of Mass in Finite Cotrol Volume

Conservation of Mass in Finite Cotrol Volume

The principle of conservation of mass is a fundamental law in fluid mechanics and is applied using the continuity equation. We apply the concept to a finite control volume to derive the continuity equation.
A system is defined as a collection of unchanging contents, and the conservation of mass states that a system's mass is constant.

Density

Density

Density is an important characteristic of substances, crucial in determining whether an object sinks or floats in a fluid. Its SI unit is kg/m3, and its cgs unit is g/cm3. The density of an object helps in identifying its composition, and also reveals information about the phase of the matter and its substructure. The densities of liquids and solids are roughly comparable, consistent with the fact that their atoms are in close contact. However, gases have much lower densities than liquids and...

Density and Archimedes' Principle

Density and Archimedes' Principle

When a lump of clay is dropped into water, it sinks. But if the same lump of clay is molded into the shape of a boat, it starts to float. Because of its shape, the clay boat displaces more water than the lump and experiences a greater buoyant force, even though its mass is the same. The same holds true for steel ships. The average density of an object majorly determines if the object will float. If an object's average density is less than that of the surrounding fluid, it will float. The reason...

Current Density

Current Density

The total amount of current flowing through one unit value of a cross-sectional area is referred to as current density. If the current flow is uniform, the amount of current flowing through a conductor is the same at all points along the conductor, even if the conductor area varies. The current density consists of the local magnitude and direction of the charge flow, which varies from point to point. Current density is measured in amperes per meter square, and direction is defined as the net...

You might also read

Related Articles

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

Sort by

Same author

Self-assembly: From blueprints to breakthroughs.

The Journal of chemical physics·2026

Same author

Effective Delocalization in the One-Dimensional Anderson Model with Stealthy Disorder.

Physical review letters·2026

Same author

Communication: Modeling layered mosaic perovskite alloy microstructures across length scales via a packing algorithm.

The Journal of chemical physics·2025

Same author

Evolution of various initial many-particle configurations to disordered stealthy hyperuniform ground states.

Physical review. E·2025

Same author

Quantifying when hyperuniformity of a many-particle system leads to uniformity across length scales.

Physical review. E·2025

Same author

Dynamical properties of particulate composites derived from ultradense stealthy hyperuniform sphere packings.

Physical review. E·2025

Search research articles

Related Experiment Video

Updated: Jul 19, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Collective coordinate control of density distributions.

Obioma U Uche¹, Salvatore Torquato, Frank H Stillinger

¹Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|October 10, 2006

Summary

Researchers developed a numerical method to control the structure factor S(k) in many-particle systems. This technique generates specific particle configurations, extending previous 2D studies to 3D and enabling control near |k|=0.

More Related Videos

Trajectory Data Analyses for Pedestrian Space-time Activity Study

Trajectory Data Analyses for Pedestrian Space-time Activity Study

Published on: February 25, 2013

Related Experiment Videos

Last Updated: Jul 19, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Trajectory Data Analyses for Pedestrian Space-time Activity Study

Trajectory Data Analyses for Pedestrian Space-time Activity Study

Published on: February 25, 2013

Area of Science:

Condensed Matter Physics
Statistical Mechanics
Computational Physics

Background:

Collective density variables C(k) determine the structure factor S(k) in many-particle systems.
These variables arise from nonlinear transformations of particle positions.

Purpose of the Study:

To prescribe target collective density variables C(k).
To find corresponding many-particle configurations using numerical optimization.
To extend previous 1D and 2D studies to three dimensions.

Main Methods:

Numerical optimization technique.
Prescribing target collective density variables C(k).
Generating multiparticle configurations with controlled S(k).

Main Results:

Successfully extended the method to three dimensions.
Demonstrated control of S(k) in the neighborhood of |k|=0.
Generated configurations with S(k) proportional to |k|^alpha for alpha=1, 2, 4, 6, 8, 10.

Conclusions:

The numerical optimization method effectively generates many-particle configurations with targeted structure factors.
The alpha=1 case has relevance in cosmology, superfluidity, and materials science.
Identified interaction potentials with configurationally degenerate and disordered classical ground states.