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

Limits with Oscillating Discontinuities01:19

Limits with Oscillating Discontinuities

An oscillating discontinuity is a type of discontinuity in which a function’s values fluctuate infinitely often as the input approaches a particular point. Unlike jump discontinuities, where the function suddenly shifts between two values, or infinite discontinuities, where the function diverges without bound, an oscillating discontinuity arises from rapid back-and-forth variation. Because the function never stabilizes toward a single value, no finite limit exists at that point.One of the most...
BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system.
Continuity of a Function01:23

Continuity of a Function

A function is continuous at a point a if three conditions are met: the function is defined at a, the limit of the function as x approaches a exists, and this limit equals the function’s value. Mathematically, this is written asThis definition ensures the graph of the function does not exhibit any breaks, holes, or jumps at that point. Discontinuities occur when any of these conditions fail. A removable discontinuity exists when the two-sided limit exists but the function is either undefined or...
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
Damped Oscillations01:07

Damped Oscillations

In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
State Function, Exact and Inexact Differentials01:27

State Function, Exact and Inexact Differentials

A state function is a thermodynamic property that depends solely on the current state of a system, irrespective of its history or how it arrived at that state. These functions are represented by capital letters, such as U, H, and S, which stand for internal energy, enthalpy, and entropy, respectively.For instance, the value of internal energy depends on the system's state variables and remains unaffected by the process path. This means that whether the system underwent a linear process or a...

You might also read

Related Articles

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

Sort by
Same author

Overlap locking and nonperturbative effects in spin glasses.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Nonreciprocal interactions and high-dimensional chaos: Comparing dynamics and statistics of equilibria in a solvable class of models.

Physical review. E·2026
Same author

Demonstrating real advantage of machine learning-enhanced Monte Carlo for combinatorial optimization.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Predictability of complex networks.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Rare trajectories in a prototypical mean-field disordered model: Insights into landscape and instantons.

Physical review. E·2026
Same author

Interacting copies of random-constraint satisfaction problems.

Physical review. E·2026

Related Experiment Video

Updated: May 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

A note on weakly discontinuous dynamical transitions.

Silvio Franz1, Giorgio Parisi, Federico Ricci-Tersenghi

  • 1Laboratoire de Physique Théorique et Modèles Statistiques, CNRS et Université Paris-Sud 11, UMR8626, Bât. 100, 91405 Orsay Cedex, France.

The Journal of Chemical Physics
|February 22, 2013
PubMed
Summary
This summary is machine-generated.

We studied mode coupling discontinuous transitions near the A(3) point. Structural relaxation and fluctuations show universal behavior, suggesting new approaches to mode coupling equations.

More Related Videos

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

Related Experiment Videos

Last Updated: May 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

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

Area of Science:

  • Physics
  • Condensed Matter Physics

Background:

  • Mode coupling theory describes transitions in complex systems.
  • Discontinuous transitions are common but complex to model.
  • The A(3) point represents a critical limit in these transitions.

Purpose of the Study:

  • To analyze mode coupling discontinuous transitions.
  • To investigate the behavior near the A(3) point.
  • To explore universal properties of structural relaxation and fluctuations.

Main Methods:

  • Analysis of mode coupling theory.
  • Study of systems in the limit of vanishing discontinuity.
  • Examination of the A(3) critical point.

Main Results:

  • Structural relaxation and fluctuations exhibit universal forms.
  • This universality is independent of system-specific details.
  • The limiting case provides insights into general mode coupling behavior.

Conclusions:

  • The A(3) point analysis reveals universal physics.
  • This universality simplifies understanding of complex systems.
  • New perspectives on mode coupling equations are proposed.