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

Magnetic Field due to Moving Charges01:23

Magnetic Field due to Moving Charges

12.6K
A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
12.6K
Magnetic Fields01:27

Magnetic Fields

8.0K
A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
A magnetic field is defined by the force that a charged particle experiences...
8.0K
Magnetic Field Of A Current Loop01:16

Magnetic Field Of A Current Loop

7.0K
Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.
7.0K
Magnetic Field Due To A Thin Straight Wire01:27

Magnetic Field Due To A Thin Straight Wire

6.8K
Consider an infinitely long straight wire carrying a current I. The magnetic field at point P at a distance a from the origin can be calculated using the Biot-Savart law.
6.8K
Ferromagnetism01:31

Ferromagnetism

3.6K
Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
3.6K
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

1.4K
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
1.4K

You might also read

Related Articles

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

Sort by
Same author

Uniform convergence of basic Fourier-Bessel series on a <i>q</i>-linear grid.

The Ramanujan journal·2019
Same author

Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014
Same author

Magnetic field controlled composite paramagnetic-diamagnetic colloidal phases.

The journal of physical chemistry. B·2012
Same author

The transition strength from solid to liquid colloidal dipolar clusters in precessing magnetic fields.

The European physical journal. E, Soft matter·2012
Same author

Dilatational yielding of solid Langmuir monolayers.

The journal of physical chemistry. B·2011
Same author

Spin dynamics simulations of two-dimensional clusters with Heisenberg and dipole-dipole interactions.

Journal of physics. Condensed matter : an Institute of Physics journal·2011

Related Experiment Video

Updated: Apr 15, 2026

Fabrication of Magnetic Platforms for Micron-Scale Organization of Interconnected Neurons
09:54

Fabrication of Magnetic Platforms for Micron-Scale Organization of Interconnected Neurons

Published on: July 14, 2021

5.3K

Paramagnetic colloidal ribbons in a precessing magnetic field.

R Alvarez-Nodarse1, N R Quintero2, F G Mertens3

  • 1IMUS & Departamento de Análisis Matemático, Universidad de Sevilla, Apartado 1160, E-41080 Sevilla, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 15, 2015
PubMed
Summary

We explored how a kink in a damped nonlinear Klein-Gordon equation moves in an effective potential. Its shape can be controlled by modulation frequency and eccentricity, matching experimental findings.

More Related Videos

Cell Labeling and Targeting with Superparamagnetic Iron Oxide Nanoparticles
08:26

Cell Labeling and Targeting with Superparamagnetic Iron Oxide Nanoparticles

Published on: October 19, 2015

12.8K
Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains
07:42

Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains

Published on: July 20, 2022

3.5K

Related Experiment Videos

Last Updated: Apr 15, 2026

Fabrication of Magnetic Platforms for Micron-Scale Organization of Interconnected Neurons
09:54

Fabrication of Magnetic Platforms for Micron-Scale Organization of Interconnected Neurons

Published on: July 14, 2021

5.3K
Cell Labeling and Targeting with Superparamagnetic Iron Oxide Nanoparticles
08:26

Cell Labeling and Targeting with Superparamagnetic Iron Oxide Nanoparticles

Published on: October 19, 2015

12.8K
Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains
07:42

Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains

Published on: July 20, 2022

3.5K

Area of Science:

  • Nonlinear dynamics
  • Condensed matter physics
  • Mathematical physics

Background:

  • Nonlinear Klein-Gordon equations model various physical phenomena.
  • Kink dynamics are crucial in understanding wave propagation and material properties.
  • Parametric driving introduces complex behaviors in nonlinear systems.

Purpose of the Study:

  • To investigate the dynamics of a kink in a damped, parametrically driven nonlinear Klein-Gordon equation.
  • To analyze the influence of high-frequency driving on kink motion.
  • To explore methods for controlling solitary wave shape.

Main Methods:

  • Method of averaging applied to the nonlinear Klein-Gordon equation.
  • Analysis in the high-frequency limit of parametric driving.
  • Comparison with experimental results on self-assembly and propulsion.

Main Results:

  • The kink moves in an effective potential under high-frequency driving.
  • An effective constant force drives the kink's motion.
  • Solitary wave shape is controllable via modulation frequency and eccentricity.

Conclusions:

  • The theoretical model accurately describes kink dynamics in driven nonlinear systems.
  • Modulation parameters offer a way to tailor solitary wave properties.
  • Findings align with experimental observations of self-propelled structures.