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

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

50.3K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
50.3K
Gauss's Law01:07

Gauss's Law

8.1K
If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
8.1K
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

8.1K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half...
8.1K
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

8.5K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
8.5K
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

8.2K
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
8.2K
Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

2.2K
Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area...
2.2K

You might also read

Related Articles

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

Sort by
Same author

Ion-modulated polyelectrolyte complexation of DNA and polyacrylic acid from molecular dynamics simulations.

The Journal of chemical physics·2026
Same author

Decoupling of single-particle and collective dynamics in arrested phase-separating glassy mixtures.

The Journal of chemical physics·2026
Same author

Structural changes in the Lennard-Jones supercooled liquid and ideal glass: An improved integral equation for the replica method.

Physical review. E·2026
Same author

Glass Transition and Yielding of Ultrasoft Charged Spherical Micelles.

Macromolecules·2026
Same author

Coarse-Graining of Slit-Confined Star Polymers in Solvents of Varying Quality.

Macromolecules·2026
Same author

Anisotropic self-assembly of soft particles induced by elliptically polarized AC electric fields.

The Journal of chemical physics·2026
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Sep 30, 2025

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

22.0K

Glass quantization of the Gaussian core model.

Jean-Marc Bomont1, Christos N Likos2, Jean-Pierre Hansen3,4

  • 1Université de Lorraine, LCP-A2MC, UR 3469, 1 Blvd. François Arago, Metz F-57078, France.

Physical Review. E
|March 16, 2022
PubMed
Summary
This summary is machine-generated.

The Gaussian core model exhibits a reentrant glass transition and a novel discretized glass phase. Ultrasoft particles display richer glass physics due to dynamic cluster formation.

More Related Videos

Synthesis and Operation of Fluorescent-core Microcavities for Refractometric Sensing
08:12

Synthesis and Operation of Fluorescent-core Microcavities for Refractometric Sensing

Published on: March 13, 2013

13.0K
In vivo Quantification of G Protein Coupled Receptor Interactions using Spectrally Resolved Two-photon Microscopy
14:26

In vivo Quantification of G Protein Coupled Receptor Interactions using Spectrally Resolved Two-photon Microscopy

Published on: January 19, 2011

13.4K

Related Experiment Videos

Last Updated: Sep 30, 2025

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

22.0K
Synthesis and Operation of Fluorescent-core Microcavities for Refractometric Sensing
08:12

Synthesis and Operation of Fluorescent-core Microcavities for Refractometric Sensing

Published on: March 13, 2013

13.0K
In vivo Quantification of G Protein Coupled Receptor Interactions using Spectrally Resolved Two-photon Microscopy
14:26

In vivo Quantification of G Protein Coupled Receptor Interactions using Spectrally Resolved Two-photon Microscopy

Published on: January 19, 2011

13.4K

Area of Science:

  • Soft matter physics
  • Condensed matter physics
  • Computational physics

Background:

  • The Gaussian core model (GCM) describes ultrasoft repulsive spheres with a Gaussian potential.
  • Understanding dynamical glass transitions is crucial in condensed matter physics.
  • Previous studies often focused on hard spheres or different potentials.

Purpose of the Study:

  • Investigate the dynamical glass transition in the GCM at low temperatures and densities.
  • Characterize the nature of the glassy states and transitions encountered.
  • Explore the influence of ultrasoft interactions on glass physics.

Main Methods:

  • Utilizing the replica method for studying dynamical properties.
  • Simulating the Gaussian core model under varying temperature and density conditions.
  • Analyzing glassiness parameters and their dependence on system variables.

Main Results:

  • Observed a reentrant glass transition: a glassy state forms upon compression, then melts with further compression.
  • Discovered a second transition between a continuous glass and a discretized glass phase.
  • The discretized glass phase exhibits stripe-like structures and discontinuous changes in glassiness.

Conclusions:

  • The glass physics of ultrasoft particles, like those in the GCM, is more complex than that of hard spheres.
  • The ability of ultrasoft particles to form and break dynamic clusters significantly impacts their glassy behavior.
  • The identified transitions offer new insights into the fundamental mechanisms of glass formation.