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

Symmetry in Maxwell's Equations

Symmetry in Maxwell's Equations

Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...

Deformations in a Symmetric Member in Bending

Deformations in a Symmetric Member in Bending

When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...

Symmetry

Symmetry

The equation of an ellipse centered at the origin defines all points whose distances from the center maintain a constant ratio between the horizontal and vertical axes. This equation results in a smooth, closed curve that extends further along the x-axis than the y-axis, giving it a horizontal orientation. Such an ellipse demonstrates three kinds of symmetry: across the x-axis, across the y-axis, and about the origin. These symmetries are essential in understanding the graph's structure and...

Eccentric Axial Loading in a Plane of Symmetry

Eccentric Axial Loading in a Plane of Symmetry

Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.

Plastic Deformations of Members with a Single Plane of Symmetry

Plastic Deformations of Members with a Single Plane of Symmetry

When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...

Gauss's Law: Planar Symmetry

Gauss's Law: Planar Symmetry

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...

You might also read

Related Articles

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

Sort by

Same author

Parametric tuning of quantum phase transitions in ultracold reactions.

Nature communications·2024

Same author

Topological Defect Formation in a Phase Transition with Tunable Order.

Physical review letters·2024

Same author

Nonadiabatic transitions during a passage near a critical point.

The Journal of chemical physics·2024

Same author

Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition.

Physical review letters·2023

Same author

Quantum phase transition dynamics in the two-dimensional transverse-field Ising model.

Science advances·2022

Same author

Redundantly Amplified Information Suppresses Quantum Correlations in Many-Body Systems.

Physical review letters·2022

Search research articles

Related Experiment Video

Updated: Jan 10, 2026

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging

Published on: March 31, 2022

Deconstructing dynamics of symmetry breaking.

Fumika Suzuki^1,2, Wojciech H Zurek¹

¹Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545.

Proceedings of the National Academy of Sciences of the United States of America

|November 25, 2025

Summary

This summary is machine-generated.

The Kibble-Zurek mechanism (KZM) explains topological defect formation during phase transitions. This study analyzes the Landau-Ginzburg model to reveal why the order parameter

Keywords:

Kibble–Zurek mechanism nonequilibrium phase transition dynamics spontaneous symmetry breaking

More Related Videos

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Published on: January 15, 2016

Related Experiment Videos

Last Updated: Jan 10, 2026

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging

Published on: March 31, 2022

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Published on: January 15, 2016

Area of Science:

Physics
Condensed Matter Physics
Statistical Mechanics

Background:

The Kibble-Zurek mechanism (KZM) accurately predicts topological defect densities after phase transitions.
The underlying reasons for KZM's predictive power, particularly the role of critical slowing down, remain incompletely understood.

Purpose of the Study:

To investigate the theoretical underpinnings of the Kibble-Zurek mechanism.
To elucidate the critical role of the order parameter's temporal evolution in defect formation.
To analyze the Landau-Ginzburg model to explain KZM's success.

Main Methods:

Analysis of the Landau-Ginzburg model.
Derivation of analytical solutions.
Investigation of the temporal dynamics of the order parameter near a critical point.

Main Results:

The study highlights the decisive role of the correlation length at the freeze-out instant.
Analytical solutions reveal the significance of the order parameter's temporal evolution.
The findings provide insights into the symmetry-breaking dynamics.

Conclusions:

The temporal evolution of the order parameter is crucial for understanding the Kibble-Zurek mechanism.
The derived analytical solutions offer experimentally testable predictions.
This work deepens the understanding of defect formation in phase transitions and validates KZM's core conjecture.