Jove
Visualize
Contact Us

Related Concept Videos

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Stability of Equilibrium Configuration01:23

Stability of Equilibrium Configuration

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

Stability of Equilibrium Configuration: Problem Solving

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...
Rigid Body Equilibrium Problems - II01:21

Rigid Body Equilibrium Problems - II

A rigid body is in static equilibrium when the net force and the net torque acting on the system are equal to zero.
Consider two children sitting on a seesaw, which has negligible mass. The first child has a mass (m1) of 26 kg and sits at point A, which is 1.6 meters (r1) from the pivot point B; the second child has a mass (m2) of 32 kg and sits at point C. How far from the pivot point B should the second child sit (r2) to balance the seesaw?
Oscillations about an Equilibrium Position01:04

Oscillations about an Equilibrium Position

Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so because...
Rigid Body Equilibrium Problems - I00:49

Rigid Body Equilibrium Problems - I

A rigid body is said to be in static equilibrium when the net force and the net torque acting on the system is equal to zero. To solve for rigid body equilibrium problems, do the following steps.

You might also read

Related Articles

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

Sort by
Same author

Correlation-induced double-plasmon excitation in simple metals studied by inelastic x-ray scattering.

Physical review letters·2005
Same author

Reaction rates of heavy metal ions at goethite: relaxation experiments and modeling.

Journal of colloid and interface science·2003
Same author

Comparison of averages of flows and maps.

Physical review. E, Statistical, nonlinear, and soft matter physics·2001
Same author

Emergency medical services for children in rural and frontier America: diverse and changing environments.

Pediatrics·1995
Same author

The 'back-to-sleep' campaign against SIDS.

American family physician·1995
Same author

Interactive technology. EMS training goes online in Idaho.

JEMS : a journal of emergency medical services·1990
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 Experiment Video

Updated: May 18, 2026

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

Finding stable minima using a nudged-elastic-band-based optimization scheme.

J A Hirschfeld1, H Lustfeld

  • 1Forschungszentrum Jülich, Institute for Advanced Simulation, Jülich, Germany. j.hirschfeld@fz-juelich.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a new computational method for finding stable molecular structures. The technique helps discover new configurations for phosphorus and related elements, providing energy barrier insights.

Related Experiment Videos

Last Updated: May 18, 2026

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

Area of Science:

  • Computational Chemistry
  • Materials Science
  • Chemical Physics

Background:

  • Optimization in complex systems often requires advanced methods beyond simple calculations.
  • Simulated annealing and genetic algorithms are common for finding low-lying energy minima.
  • These methods use artificial fluctuations to escape local minima.

Purpose of the Study:

  • To present a complementary optimization scheme based on the nudged-elastic-band method.
  • To apply this scheme to identify stable isomers of P(n), As(n), Sb(n), and Bi(n) molecules (n=4, 8).
  • To explore new stable and metastable configurations and their energy landscapes.

Main Methods:

  • Utilizing the nudged-elastic-band (NEB) method, typically used for saddle points.
  • Applying density functional theory (DFT) calculations.
  • Investigating molecular structures for phosphorus (P), arsenic (As), antimony (Sb), and bismuth (Bi) clusters.

Main Results:

  • Identified stable and metastable configurations for P(8), As(8), Sb(8), and Bi(8) molecules.
  • Discovered several new configurations with similar energy levels.
  • Obtained an upper bound for energy barriers between identified configurations.

Conclusions:

  • The nudged-elastic-band based scheme is effective for exploring complex potential energy surfaces.
  • New insights into the structural diversity and stability of group 15 clusters were gained.
  • The method provides a valuable tool for discovering novel molecular isomers and understanding their energetic relationships.