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

Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

1.4K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
1.4K
Perpendicular-Axis Theorem01:16

Perpendicular-Axis Theorem

3.4K
The perpendicular-axis theorem states that the moment of inertia of a planar object about an axis perpendicular to its plane is equal to the sum of the moments of inertia about two mutually perpendicular concurrent axes lying in the plane of the body.
Consider a circular disc of mass M and radius R lying along an x-y plane. The origin lies at the center of the disc, and the z-axis is perpendicular to the disc's plane. All three axes coincide at the disc's center. The moment of inertia of this...
3.4K
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

7.1K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
7.1K
Rigid Body Equilibrium Problems - II01:21

Rigid Body Equilibrium Problems - II

7.5K
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?
7.5K
Deactivation Processes: Jablonski Diagram01:25

Deactivation Processes: Jablonski Diagram

880
Luminescence, the emission of light by a substance that has absorbed energy, is a process that involves the interaction of molecules with light. The energy-level diagram, or Jablonski diagram, is a graphical representation of these interactions, illustrating the various states and transitions a molecule can undergo. In a typical Jablonski diagram, the lowest horizontal line represents the ground-state energy of the molecule, which is usually a singlet state. This state represents the energies...
880
Rigid Body Equilibrium Problems - I00:49

Rigid Body Equilibrium Problems - I

4.8K
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.
4.8K

You might also read

Related Articles

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

Sort by
Same author

Proxitaxis: An adaptive search strategy based on proximity and stochastic resetting.

Physical review. E·2026
Same author

Dynamically emergent correlations in Brownian particles subject to simultaneous non-Poissonian resetting protocols.

Physical review. E·2026
Same author

Target Search Optimization by Threshold Resetting.

Physical review letters·2025
Same author

Diffusion with stochastic resetting on a lattice.

Physical review. E·2025
Same author

Two-dimensional Coulomb gas in a nonconservative trap.

Physical review. E·2025
Same author

Large Deviations in Switching Diffusion: From Free Cumulants to Dynamical Transitions.

Physical review letters·2025
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

Related Experiment Video

Updated: Sep 11, 2025

Direct Imaging of Laser-driven Ultrafast Molecular Rotation
10:52

Direct Imaging of Laser-driven Ultrafast Molecular Rotation

Published on: February 4, 2017

9.8K

Resetting Dyson Brownian motion.

Marco Biroli1, Satya N Majumdar1, Grégory Schehr2

  • 1Université Paris-Saclay, LPTMS, CNRS, Univ. Paris-Sud, 91405 Orsay, France.

Physical Review. E
|August 19, 2025
PubMed
Summary
This summary is machine-generated.

We introduce a new resetting Dyson Brownian motion (RDBM) model. Stochastic resetting drives the system to a fluffy nonequilibrium stationary state, altering particle interactions and fluctuations.

More Related Videos

Author Spotlight: Streamlining Visual Dynamics to Simplify Molecular Dynamics Simulations Using Gromacs
05:00

Author Spotlight: Streamlining Visual Dynamics to Simplify Molecular Dynamics Simulations Using Gromacs

Published on: August 9, 2024

1.4K
Optical Trap Loading of Dielectric Microparticles In Air
08:57

Optical Trap Loading of Dielectric Microparticles In Air

Published on: February 5, 2017

9.1K

Related Experiment Videos

Last Updated: Sep 11, 2025

Direct Imaging of Laser-driven Ultrafast Molecular Rotation
10:52

Direct Imaging of Laser-driven Ultrafast Molecular Rotation

Published on: February 4, 2017

9.8K
Author Spotlight: Streamlining Visual Dynamics to Simplify Molecular Dynamics Simulations Using Gromacs
05:00

Author Spotlight: Streamlining Visual Dynamics to Simplify Molecular Dynamics Simulations Using Gromacs

Published on: August 9, 2024

1.4K
Optical Trap Loading of Dielectric Microparticles In Air
08:57

Optical Trap Loading of Dielectric Microparticles In Air

Published on: February 5, 2017

9.1K

Area of Science:

  • Statistical Mechanics
  • Stochastic Processes
  • Random Matrix Theory

Background:

  • Dyson Brownian motion (DBM) describes interacting particles.
  • Standard DBM with a harmonic trap reaches equilibrium (Dyson log-gas).
  • Stochastic resetting introduces particles returning to initial positions.

Purpose of the Study:

  • Introduce and analyze the resetting Dyson Brownian motion (RDBM) process.
  • Investigate the impact of stochastic resetting on particle systems.
  • Characterize the nonequilibrium stationary state (NESS) of the RDBM.

Main Methods:

  • Analytical computation of particle position distributions.
  • Analysis of macroscopic and microscopic observables in the large N limit.
  • Comparison with random matrix ensembles and nonintersecting Brownian motions.

Main Results:

  • The RDBM process reaches a nonequilibrium stationary state (NESS) for r>0.
  • Exact computation of joint particle position distributions in the NESS.
  • Demonstration that resetting leads to a 'fluffy' NESS with altered fluctuations.

Conclusions:

  • Stochastic resetting fundamentally changes the stationary state properties of interacting particle systems.
  • The RDBM model provides a framework to study resetting effects in statistical physics.
  • Analytical results show excellent agreement with numerical simulations.