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

Magnetic Susceptibility and Permeability

Magnetic Susceptibility and Permeability

In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of proportionality, a dimensionless number, is called magnetic susceptibility. The value of the susceptibility depends on the type of material.
When diamagnetic materials are placed under an external magnetic field, the moments opposite to the field are induced. Hence, the susceptibility for diamagnets has a minimal negative value of 10-5–10-6. Since...

Ferromagnetism

Ferromagnetism

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...

Uniform Distribution

Uniform Distribution

The uniform distribution is a continuous probability distribution of events with an equal probability of occurrence. This distribution is rectangular.
Two essential properties of this distribution are

Magnetostatic Boundary Conditions

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...

You might also read

Related Articles

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

Sort by

Same author

Electrical transport in tunably disordered metamaterials.

Physical review. E·2025

Same author

Different relative scalings between transient forces and thermal fluctuations tune regimes of dynamic clustering.

Physical review. E·2025

Same author

Sampling the large-dimensional energy landscape of a 2D granular system with the hydra string method.

Soft matter·2025

Same author

Machine learning enhanced immunologic risk assessments for solid organ transplantation.

Scientific reports·2025

Same author

Hyperuniformity scaling of maximally random jammed packings of two-dimensional binary disks.

Physical review. E·2025

Same author

Hyperuniformity classes of quasiperiodic tilings via diffusion spreadability.

Physical review. E·2024

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

Search research articles

Related Experiment Video

Updated: Sep 13, 2025

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

Characterizing the hyperuniformity of disordered network metamaterials.

Charles Emmett Maher¹, Katherine A Newhall¹

¹University of North Carolina at Chapel Hill, Department of Mathematics, Chapel Hill, North Carolina, USA.

Physical Review. E

|August 1, 2025

Summary

This summary is machine-generated.

Network structures derived from hyperuniform point patterns partially inherit hyperuniformity. The degree of inheritance depends on the tessellation method and point pattern disorder, not beam shape.

More Related Videos

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Published on: July 29, 2013

Related Experiment Videos

Last Updated: Sep 13, 2025

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

Published on: September 26, 2014

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing

Published on: June 28, 2024

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Published on: July 29, 2013

Area of Science:

Materials Science
Physics
Computational Geometry

Background:

Metamaterials offer diverse properties through ordered and disordered structures.
Hyperuniform materials suppress large-scale density fluctuations.
Network materials possess desirable physical characteristics.

Purpose of the Study:

To investigate hyperuniformity inheritance in network structures from tessellating hyperuniform point patterns.
To analyze how different tessellation schemes affect hyperuniformity in network materials.

Main Methods:

Examined Delaunay, Voronoi, Delaunay-centroidal, and Gabriel tessellations of hyperuniform and nonhyperuniform point patterns in 2D and 3D.
Utilized spectral density to analyze density fluctuations in thickened tessellations (2D).
Introduced a variance-based measurement for direct characterization of network structures (2D and 3D).

Main Results:

No tessellation scheme fully inherited the hyperuniformity of the progenitor point pattern.
Hyperuniformity inheritance is sensitive to the tessellation method.
Inheritance depends on short- and long-range disorder in the point pattern.
Beam shape did not influence hyperuniformity when creating two-phase media from networks.

Conclusions:

Network structures derived from hyperuniform point patterns exhibit partial hyperuniformity.
Tessellation scheme and point pattern disorder are key factors influencing hyperuniformity inheritance.
Findings provide insights into designing advanced disordered hyperuniform network metamaterials.