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

Non-uniform Circular Motion01:22

Non-uniform Circular Motion

In uniform circular motion, the particle executing circular motion has a constant speed, and the circle is at a fixed radius. However, not all circular motion occurs at a constant speed. A particle can travel in a circle and speed up or slow down, showing an acceleration in the direction of motion. In that case, the motion is called non-uniform circular motion, and an additional acceleration is introduced, which is in the direction tangential to the circle. 
For example, such accelerations...
Uniform Circular Motion01:14

Uniform Circular Motion

Uniform circular motion is a specific type of motion in which an object travels in a circle with a constant speed. For example, any point on a propeller spinning at a constant rate is undergoing uniform circular motion. The second, minute, and hour hands of a watch also undergo uniform circular motion. It is hard to believe that points on these rotating objects are actually accelerating, even though the rotation rate is constant. To understand this, we must analyze the motion in terms of...
Simple Harmonic Motion and Uniform Circular Motion01:42

Simple Harmonic Motion and Uniform Circular Motion

While simple harmonic motion and uniform circular motion may be two separate concepts, they correlate and interlink with each other. Simple harmonic motion is an oscillatory motion in a system where the net force can be described by Hooke's law, while uniform circular motion is the motion of an object in a circular path at constant speed.
There is an easy way to produce simple harmonic motion by using uniform circular motion. For instance, consider a ball attached to a uniformly rotating...
Uniform Distribution01:19

Uniform Distribution

The uniform distribution is a continuous probability distribution of events with an equal probability of occurrence. This distribution is rectangular.Two essential properties of this distribution are The area under the rectangular shape equals 1. There is a correspondence between the probability of an event and the area under the curve.Further, the mean and standard deviation of the uniform distribution can be calculated when the lower and upper cut-offs, denoted as a and b,...
Dynamics of Circular Motion01:30

Dynamics of Circular Motion

An object undergoing circular motion, like a race car, is accelerating because it is changing the direction of its velocity. This centrally directed acceleration is called centripetal acceleration. This acceleration acts along the radius of the curved path (thus is also referred to as radial acceleration).
Any acceleration must be produced by some force. Therefore, any force or combination of forces can cause centripetal acceleration. A few examples include the tension in the rope on a...
Dynamics Of Circular Motion: Applications01:17

Dynamics Of Circular Motion: Applications

Suppose a car moves on flat ground and turns to the left. The centripetal force causing the car to turn in a circular path is due to friction between the tires and the road. For this, a minimum coefficient of friction is needed, or the car will move in a larger-radius curve and leave the roadway. Let's now consider banked curves, where the slope of the road helps in negotiating the curve. The greater the angle of the curve, the faster one can take the curve. It is common for race tracks for...

You might also read

Related Articles

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

Sort by
Same author

PP2A catalytic subunit alpha is critically required for CD8<sup>+</sup> T-cell homeostasis and antibacterial responses.

European journal of immunology·2024
Same author

Diversity of post-translational modifications and cell signaling revealed by single cell and single organelle mass spectrometry.

Communications biology·2024
Same author

Culture-Free Whole Genome Sequencing of <i>Mycobacterium tuberculosis</i> Using Ligand-Mediated Bead Enrichment Method.

Open forum infectious diseases·2024
Same author

Multicolumn Nanoflow Liquid Chromatography with Accelerated Offline Gradient Generation for Robust and Sensitive Single-Cell Proteome Profiling.

Analytical chemistry·2024
Same author

Metabolome-wide association identifies altered metabolites and metabolic pathways in the serum of patients with cholangiocarcinoma.

JHEP reports : innovation in hepatology·2024
Same author

Dysregulated Cerebrospinal Fluid Proteome of Spinocerebellar Ataxia Type 2 and its Clinical Implications.

Movement disorders : official journal of the Movement Disorder Society·2024
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Related Experiment Video

Updated: Jun 29, 2026

Three-Dimensional Acoustic Assembly Device for Mass Manufacturing of Cell Spheroids
05:17

Three-Dimensional Acoustic Assembly Device for Mass Manufacturing of Cell Spheroids

Published on: October 13, 2023

Nonuniform circular ensembles.

Sandeep Kumar1, Akhilesh Pandey

  • 1School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2008
PubMed
Summary
This summary is machine-generated.

This study explores quantum chaotic systems, demonstrating that level fluctuations in circular ensembles exhibit universal behavior for weak potentials. Universality breaks down with strong potentials, impacting mesoscopic systems.

More Related Videos

The Assembly and Application of 'Shear Rings': A Novel Endothelial Model for Orbital, Unidirectional and Periodic Fluid Flow and Shear Stress
09:20

The Assembly and Application of 'Shear Rings': A Novel Endothelial Model for Orbital, Unidirectional and Periodic Fluid Flow and Shear Stress

Published on: October 31, 2016

An Orbital Shaking Culture of Mammalian Cells in O-shaped Vessels to Produce Uniform Aggregates
05:40

An Orbital Shaking Culture of Mammalian Cells in O-shaped Vessels to Produce Uniform Aggregates

Published on: January 7, 2019

Related Experiment Videos

Last Updated: Jun 29, 2026

Three-Dimensional Acoustic Assembly Device for Mass Manufacturing of Cell Spheroids
05:17

Three-Dimensional Acoustic Assembly Device for Mass Manufacturing of Cell Spheroids

Published on: October 13, 2023

The Assembly and Application of 'Shear Rings': A Novel Endothelial Model for Orbital, Unidirectional and Periodic Fluid Flow and Shear Stress
09:20

The Assembly and Application of 'Shear Rings': A Novel Endothelial Model for Orbital, Unidirectional and Periodic Fluid Flow and Shear Stress

Published on: October 31, 2016

An Orbital Shaking Culture of Mammalian Cells in O-shaped Vessels to Produce Uniform Aggregates
05:40

An Orbital Shaking Culture of Mammalian Cells in O-shaped Vessels to Produce Uniform Aggregates

Published on: January 7, 2019

Area of Science:

  • Mathematical Physics
  • Quantum Chaos
  • Statistical Mechanics

Background:

  • Universality in quantum chaotic systems is crucial for understanding complex physical phenomena.
  • Level fluctuations in circular ensembles are key indicators of system behavior.

Purpose of the Study:

  • To investigate the universality of short-range and long-range level fluctuations in circular ensembles with nonuniform weight functions.
  • To analyze the impact of potential strength on correlation functions and universality.

Main Methods:

  • Utilized orthogonal and skew-orthogonal polynomials on the unit circle for analytic studies.
  • Employed Monte Carlo simulations to verify analytical findings.
  • Analyzed hierarchic relations among correlation functions.

Main Results:

  • Demonstrated universality of correlation functions for weak periodic potentials.
  • Proved universality using asymptotic forms of polynomials for circular unitary, orthogonal, and symplectic ensembles.
  • Showed that universality breaks down for strong potentials.

Conclusions:

  • The study confirms universal behavior in level fluctuations for specific conditions in quantum chaotic systems.
  • Findings have implications for understanding conductance fluctuations in mesoscopic systems.
  • Potential strength is a critical factor determining the presence or absence of universality.