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

Stability of structures01:14

Stability of structures

536
In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
536
Stability of Equilibrium Configuration01:23

Stability of Equilibrium Configuration

830
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
830
Microtubule Instability02:17

Microtubule Instability

6.3K
Microtubules are hollow cylindrical filaments having a diameter of approximately 25 nm and a length that varies from 200 nm to 25 μm. GTP-bound tubulin subunits form αβ-heterodimers for microtubule assembly. These core building blocks interact longitudinally, polymerizing into protofilaments. The protofilaments then interact with one another through lateral bonding forces to form stable cylindrical microtubules. These cylindrical filaments are dynamic as they undergo repeated...
6.3K
Pole and System Stability01:24

Pole and System Stability

1.1K
The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's...
1.1K
Stability of Equilibrium Configuration: Problem Solving01:13

Stability of Equilibrium Configuration: Problem Solving

1.0K
The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...
1.0K
Multimachine Stability01:25

Multimachine Stability

587
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
587

You might also read

Related Articles

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

Sort by
Same author

Slow dissipation and spreading in disordered classical systems: A direct comparison between numerics and mathematical bounds.

Physical review. E·2024
Same author

Many-Body Delocalization as a Quantum Avalanche.

Physical review letters·2018
Same author

How a Small Quantum Bath Can Thermalize Long Localized Chains.

Physical review letters·2017
Same author

Exponentially Slow Heating in Periodically Driven Many-Body Systems.

Physical review letters·2016
Same author

Symmetries of the ratchet current.

Physical review. E, Statistical, nonlinear, and soft matter physics·2008
Same author

Quantum version of free-energy--irreversible-work relations.

Physical review. E, Statistical, nonlinear, and soft matter physics·2004
Same journal

Inverse FIP effect plasma in the solar atmosphere: a synthesis of current understanding and new insights from AR 11967.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

Signs of sulfur fractionation under high magnetic field strength.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

First ionization potential fractionation of sulfur observed with spectral imaging of the coronal environment.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

Chromospheric dynamics and turbulence regulate the solar FIP effect.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

Exploring the link between wave activity in the photospheric velocity driver and the FIP bias in the solar corona.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
Same journal

Radiative hydrodynamic simulations of first ionization potential fractionation in solar flares.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2026
See all related articles

Related Experiment Video

Updated: Feb 19, 2026

Three-dimensional Super Resolution Microscopy of F-actin Filaments by Interferometric PhotoActivated Localization Microscopy iPALM
11:57

Three-dimensional Super Resolution Microscopy of F-actin Filaments by Interferometric PhotoActivated Localization Microscopy iPALM

Published on: December 1, 2016

11.2K

Many-body localization: stability and instability.

Wojciech De Roeck1, John Z Imbrie2

  • 1Instituut voor Theoretische Fysica, KU Leuven, 3000 Leuven, Belgium.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|November 1, 2017
PubMed
Summary
This summary is machine-generated.

Weakly disordered regions can disrupt localization in quantum systems. This study constructs local integrals of motion (LIOMs) for 1D spin chains, showing ergodicity is restored in higher dimensions, albeit with slow equilibration.

Keywords:
Griffiths regionmany-body localizationthermalization

More Related Videos

Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy
13:15

Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy

Published on: July 18, 2014

11.5K
Multi-color Localization Microscopy of Single Membrane Proteins in Organelles of Live Mammalian Cells
11:06

Multi-color Localization Microscopy of Single Membrane Proteins in Organelles of Live Mammalian Cells

Published on: June 30, 2018

9.1K

Related Experiment Videos

Last Updated: Feb 19, 2026

Three-dimensional Super Resolution Microscopy of F-actin Filaments by Interferometric PhotoActivated Localization Microscopy iPALM
11:57

Three-dimensional Super Resolution Microscopy of F-actin Filaments by Interferometric PhotoActivated Localization Microscopy iPALM

Published on: December 1, 2016

11.2K
Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy
13:15

Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy

Published on: July 18, 2014

11.5K
Multi-color Localization Microscopy of Single Membrane Proteins in Organelles of Live Mammalian Cells
11:06

Multi-color Localization Microscopy of Single Membrane Proteins in Organelles of Live Mammalian Cells

Published on: June 30, 2018

9.1K

Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Rare regions with weak disorder, known as Griffiths regions, can impede localization phenomena in quantum systems.
  • Understanding the behavior of these regions is crucial for comprehending ergodicity and equilibration in many-body quantum systems.

Purpose of the Study:

  • To develop a non-perturbative construction of local integrals of motion (LIOMs) for weakly interacting spin chains in one dimension.
  • To explore the implications of Griffiths regions in higher dimensions and their effect on ergodicity and equilibration.

Main Methods:

  • Construction of local integrals of motion (LIOMs) using a non-perturbative approach.
  • Analysis of eigenvalue statistics in weakly disordered spin chains.
  • Theoretical investigation of quantum systems in dimensions greater than one.

Main Results:

  • A method for constructing LIOMs in 1D spin chains was successfully developed under specific eigenvalue statistics.
  • It was demonstrated that interactions within Griffiths regions may not be negligible compared to energy-level spacing in higher dimensions.
  • Ergodicity is predicted to be restored in dimensions d > 1.

Conclusions:

  • The construction of LIOMs provides a framework for understanding localization breakdown in disordered quantum systems.
  • Higher-dimensional systems with Griffiths regions are expected to exhibit slow equilibration, analogous to the dynamics observed in glasses.
  • The findings contribute to the understanding of the breakdown of ergodicity in quantum systems across various physical platforms.