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

Molecular Geometry and Dipole Moments02:36

Molecular Geometry and Dipole Moments

13.2K
The VSEPR theory can be used to determine the electron pair geometries and molecular structures as follows:
13.2K
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

5.1K
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...
5.1K
Kinetic Theory of an Ideal Gas01:12

Kinetic Theory of an Ideal Gas

3.6K
A mole is defined as the amount of any substance that contains as many molecules as there are atoms in exactly 12 grams of carbon-12. An Italian scientist Amedeo Avogadro (1776–1856) formed the  hypothesis that equal volumes of gas at equal pressure and temperature contain equal numbers of molecules, independent of the type of gas. Later, the hypothesis was developed to form the SI unit for measuring the amount of any substance.
The number of molecules in one mole is called...
3.6K
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

7.0K
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...
7.0K
Third Law of Thermodynamics02:38

Third Law of Thermodynamics

19.2K
A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.
19.2K
Phase Transitions: Vaporization and Condensation02:39

Phase Transitions: Vaporization and Condensation

17.8K
The physical form of a substance changes on changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. Vaporization occurs when the thermal motion of the molecules overcome the intermolecular forces, and the molecules (at the surface) escape into the gaseous state. When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase...
17.8K

You might also read

Related Articles

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

Sort by
Same author

Mitochondria directly interact with the nuclear pore complex.

Nature·2026
Same author

Stochastic colonization and host-to-host transmission shape gut bacterial variability.

bioRxiv : the preprint server for biology·2026
Same author

Simulation-based inference captures non-Markovian effects as exemplified in protein production kinetics through cell division.

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

Mamba time series forecasting with uncertainty quantification.

Machine learning: science and technology·2025
Same author

REPOP: bacterial population quantification from plate counts.

bioRxiv : the preprint server for biology·2025
Same author

Avoiding matrix exponentials for large transition rate matrices.

The Journal of chemical physics·2024
Same journal

Exploring mechanisms for reversal of flow in tunicate hearts.

Chaos (Woodbury, N.Y.)·2026
Same journal

State estimation in spatiotemporal chaos via low-rank StatFEM.

Chaos (Woodbury, N.Y.)·2026
Same journal

Universal response functions in driven dissipative tunneling dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

A network-based approach to characterize the dynamics of the coupling field of thermoacoustic oscillators in annular geometry.

Chaos (Woodbury, N.Y.)·2026
Same journal

Data-driven soliton manifold approximations for dark and bright waves: Some prototypical 1D case examples.

Chaos (Woodbury, N.Y.)·2026
Same journal

Gap junction architecture and synchronization clusters in the thalamic reticular nuclei.

Chaos (Woodbury, N.Y.)·2026
See all related articles

Related Experiment Video

Updated: Aug 4, 2025

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

7.5K

Information geometry and Bose-Einstein condensation.

Pedro Pessoa1

  • 1Physics Department, University at Albany (SUNY), Albany, New York 12222, USA.

Chaos (Woodbury, N.Y.)
|April 1, 2023
PubMed
Summary
This summary is machine-generated.

Information geometry curvature in Bose-Einstein gases does not diverge at phase transitions. Instead, for a finite number of particles, curvature decreases with increasing particle count, approaching a finite value in the thermodynamic limit.

More Related Videos

Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

9.0K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.9K

Related Experiment Videos

Last Updated: Aug 4, 2025

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

7.5K
Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

9.0K
Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

12.9K

Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Information Geometry

Background:

  • A long-held conjecture links information geometry (IG) curvature to phase transitions, predicting divergence.
  • Recent studies on Bose-Einstein (BE) gases suggest IG curvature converges to zero at unit fugacity, challenging the conjecture.
  • Phase transitions are typically defined in the thermodynamic limit (infinite particles).

Purpose of the Study:

  • Investigate the behavior of IG curvature for a finite number of particles (N) in a trapped Bose-Einstein gas.
  • Determine if IG curvature diverges or converges at phase transitions for finite N.
  • Examine the thermodynamic limit (N→∞) of IG curvature.

Main Methods:

  • Calculated information geometry curvature for a trapped Bose-Einstein gas with a finite number of particles, N.
  • Analyzed the behavior of curvature as N increases.
  • Observed the trend of maximum curvature temperature as N approaches infinity.

Main Results:

  • For a trapped gas, IG curvature decreases proportionally to a power of N as N increases.
  • The temperature at which maximum curvature occurs approaches the critical temperature as N increases.
  • In the thermodynamic limit, the curvature exhibits a finite value at the phase transition.

Conclusions:

  • The study contradicts the conjecture that information geometry curvature diverges at phase transitions.
  • Information geometry curvature for Bose-Einstein gases approaches a finite, non-zero value in the thermodynamic limit.
  • This finding provides a more nuanced understanding of the relationship between information geometry and thermodynamic phase transitions.