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

Conservation of Linear Momentum for a System of Particles01:28

Conservation of Linear Momentum for a System of Particles

In the dynamic realm of billiards, a fascinating interplay of forces governs the motion of cue balls and stationary balls. When the cue ball collides with a stationary ball, linear momentum is exchanged. The cue ball imparts a fraction of its linear momentum to the stationary ball, causing the cue ball to decelerate while initiating the motion of the stationary ball.
The impulsive force at play during this interaction is of extremely short duration, rendering its impulse negligible. When...
Fermi Level Dynamics01:12

Fermi Level Dynamics

The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

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...
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

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 we...
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about the...
Magnetic Damping01:17

Magnetic Damping

Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...

You might also read

Related Articles

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

Sort by
Same author

Describing a universal critical behavior in a transition from order to chaos.

Physical review. E·2026
Same author

Transition from bounded to unbounded energy in a time-dependent billiard.

Physical review. E·2025
Same author

Analysis of invariant spanning curves in oval billiards: A numerical approach based on Slater's theorem.

Chaos (Woodbury, N.Y.)·2025
Same author

Finding critical exponents and parameter space for a family of dissipative two-dimensional mappings.

Chaos (Woodbury, N.Y.)·2024
Same author

Scaling properties of the action in the Riemann-Liouville fractional standard map.

Physical review. E·2024
Same author

Characterizing a transition from limited to unlimited diffusion in energy for a time-dependent stochastic billiard.

Physical review. E·2023
Same journal

Erratum: Spectroscopy and Ground-State Transfer of Ultracold Bosonic ^{39}K^{133}Cs Molecules [Phys. Rev. Lett. 135, 203401 (2025)].

Physical review letters·2026
Same journal

Erratum: Lifetime of the ^{2}F_{7/2} Level in Yb^{+} for Spontaneous Emission of Electric Octupole Radiation [Phys. Rev. Lett. 127, 213001 (2021)].

Physical review letters·2026
Same journal

Laser-Plasma Based Seeded Free Electron Laser in the High-Gain Regime.

Physical review letters·2026
Same journal

Parent Hamiltonians for Stabilizer Quantum Many-Body Scars.

Physical review letters·2026
Same journal

Properties of Heavy Cosmic Nuclei Phosphorus, Chlorine, Argon, Potassium, and Calcium: Results from the Alpha Magnetic Spectrometer.

Physical review letters·2026
Same journal

Role of Spin-Isospin Symmetries in Nuclear β-Decays.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: Jun 8, 2026

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

Suppressing Fermi acceleration in a driven elliptical billiard.

Edson D Leonel1, Leonid A Bunimovich

  • 1Departamento de Estatística, Matemática Aplicada e Computação, IGCE, Univ Estadual Paulista Avenida 24A, 1515, Bela Vista, CEP: 13506-700, Rio Claro, São Paulo, Brazil.

Physical Review Letters
|September 28, 2010
PubMed
Summary
This summary is machine-generated.

Inelastic collisions prevent unlimited energy growth in driven elliptical billiards, suppressing Fermi acceleration. This indicates Fermi acceleration is not a structurally stable phenomenon in such systems.

More Related Videos

Fabrication and Operation of a Nano-Optical Conveyor Belt
11:10

Fabrication and Operation of a Nano-Optical Conveyor Belt

Published on: August 26, 2015

Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

Related Experiment Videos

Last Updated: Jun 8, 2026

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

Fabrication and Operation of a Nano-Optical Conveyor Belt
11:10

Fabrication and Operation of a Nano-Optical Conveyor Belt

Published on: August 26, 2015

Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

Area of Science:

  • Statistical mechanics
  • Dynamical systems
  • Chaos theory

Background:

  • Noninteracting particles in time-dependent billiards exhibit unlimited energy growth under nondissipative dynamics.
  • Fermi acceleration, a mechanism for energy gain, has been observed in similar systems.
  • The structural stability of Fermi acceleration is a key question in dynamical systems.

Purpose of the Study:

  • To investigate the effect of inelastic collisions on the dynamical properties of particles in a driven elliptical billiard.
  • To determine if Fermi acceleration can be suppressed by introducing dissipative elements.
  • To assess the structural stability of Fermi acceleration in the presence of inelastic collisions.

Main Methods:

  • Simulations of particle trajectories within a time-dependent elliptical billiard.
  • Inclusion of inelastic collision models to represent energy dissipation.
  • Analysis of energy growth and acceleration patterns over time.

Main Results:

  • Inelastic collisions were shown to significantly suppress Fermi acceleration.
  • Unlimited energy growth, observed in nondissipative systems, is mitigated by energy loss.
  • The suppression of Fermi acceleration suggests it is sensitive to dissipative perturbations.

Conclusions:

  • Fermi acceleration is not a structurally stable phenomenon in driven elliptical billiards when inelastic collisions are present.
  • Dissipative processes play a crucial role in limiting energy growth in such dynamical systems.
  • This study provides further evidence for the fragility of Fermi acceleration under realistic physical conditions.