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

Multimachine Stability01:25

Multimachine Stability

625
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:
625
Stability of Equilibrium Configuration01:23

Stability of Equilibrium Configuration

951
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...
951
Nuclear Stability03:18

Nuclear Stability

24.3K
Protons and neutrons, collectively called nucleons, are packed together tightly in a nucleus. With a radius of about 10−15 meters, a nucleus is quite small compared to the radius of the entire atom, which is about 10−10 meters. Nuclei are extremely dense compared to bulk matter, averaging 1.8 × 1014 grams per cubic centimeter. If the earth’s density were equal to the average nuclear density, the earth’s radius would be only about 200 meters.
To hold positively charged protons together...
24.3K
Stability of structures01:14

Stability of structures

608
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,...
608
Stability of Equilibrium Configuration: Problem Solving01:13

Stability of Equilibrium Configuration: Problem Solving

1.2K
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...
1.2K
Pole and System Stability01:24

Pole and System Stability

1.3K
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...
1.3K

You might also read

Related Articles

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

Sort by
Same author

Black Holes in Higher Dimensions.

Living reviews in relativity·2017
Same author

The KCaSrTa5O15 photocatalyst with tungsten bronze structure for water splitting and CO2 reduction.

Physical chemistry chemical physics : PCCP·2014
Same author

Large-D gravity and low-D strings.

Physical review letters·2013
Same author

World-volume effective theory for higher-dimensional black holes.

Physical review letters·2009
Same author

Microstates of a neutral black hole in M theory.

Physical review letters·2006
Same author

A supersymmetric black ring.

Physical review letters·2004

Related Experiment Video

Updated: Apr 3, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

10.2K

Evolution and End Point of the Black String Instability: Large D Solution.

Roberto Emparan1,2, Ryotaku Suzuki3, Kentaro Tanabe4

  • 1Institució Catalana de Recerca i Estudis Avançats (ICREA) Passeig Lluís Companys 23, E-08010 Barcelona, Spain.

Physical Review Letters
|September 16, 2015
PubMed
Summary
This summary is machine-generated.

Thin black strings are unstable and evolve into stable, nonuniform configurations. This instability leads to periodic arrays of black holes in higher dimensions, confirming theoretical predictions.

More Related Videos

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

9.0K
Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
06:44

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

Published on: September 23, 2025

689

Related Experiment Videos

Last Updated: Apr 3, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

10.2K
Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

9.0K
Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
06:44

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

Published on: September 23, 2025

689

Area of Science:

  • Theoretical physics
  • String theory
  • General relativity

Background:

  • Black strings and branes are theoretical objects in higher-dimensional spacetimes.
  • Understanding their stability and evolution is crucial for string theory and quantum gravity.
  • Previous conjectures suggested instabilities in black strings at large dimensions.

Purpose of the Study:

  • To derive and solve nonlinear partial differential equations for black string and brane dynamics.
  • To investigate the stability of black strings in the large-D expansion.
  • To confirm theoretical predictions about the endpoint of black string instabilities.

Main Methods:

  • Derivation of (1+1)-dimensional nonlinear partial differential equations.
  • Numerical solutions to these equations.
  • Analysis of the dynamical evolution of black strings and branes.

Main Results:

  • Thin black strings are unstable to developing inhomogeneities.
  • Unstable black strings asymptote to stable, nonuniform configurations.
  • Very thin initial strings form periodic arrays of black holes connected by necks.
  • Equations for anti-de Sitter black brane dynamics at large D are presented.

Conclusions:

  • The study confirms the conjecture on black string instability endpoints in large dimensions.
  • Nonlinear dynamics lead to stable, nonuniform black string states.
  • The findings provide insights into the behavior of black objects in higher dimensions.