Jove
Visualize
Contact Us

Related Concept Videos

Phase Transitions02:31

Phase Transitions

22.9K
Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
22.9K
Phase Transitions: Sublimation and Deposition02:33

Phase Transitions: Sublimation and Deposition

19.9K
Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
19.9K
Phase Transitions: Melting and Freezing02:39

Phase Transitions: Melting and Freezing

14.8K
Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
14.8K
Phase Transitions: Vaporization and Condensation02:39

Phase Transitions: Vaporization and Condensation

20.8K
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 molecules...
20.8K
Quantum Numbers02:43

Quantum Numbers

49.5K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
49.5K
Phase Diagrams02:39

Phase Diagrams

49.9K
A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
49.9K

You might also read

Related Articles

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

Sort by
Same journal

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

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

Exact computation of Lyapunov exponents via system parameters in multi-triangle chaotic maps: Bifurcation analysis and circuit realization.

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

Integrating score-based generative modeling and neural ODEs for accurate representation of multiscale chaotic dynamics.

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

A data-driven tuberculosis model with behavioral changes and saturated treatment: Optimal control and cost-effectiveness study.

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

Breathers, rational solutions, and their exact physical spectra in F = 1 spinor Bose-Einstein condensates.

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

Finite invariant sets with bridging points in logistic IFS.

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

Updated: Jan 27, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

13.2K

Phase transition in iterated quantum protocols for noisy inputs.

Martin Malachov1, Igor Jex1, Orsolya Kálmán2

  • 1Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, 115 19 Praha 1, Staré Město, Czech Republic.

Chaos (Woodbury, N.Y.)
|April 1, 2019
PubMed
Summary
This summary is machine-generated.

Quantum distillation protocols can exhibit chaotic behavior even with imperfect initial states. This complex dynamics, resembling a phase transition, is robust against initial uncertainty in quantum information processing.

More Related Videos

Optogenetic Phase Transition of TDP-43 in Spinal Motor Neurons of Zebrafish Larvae
07:14

Optogenetic Phase Transition of TDP-43 in Spinal Motor Neurons of Zebrafish Larvae

Published on: February 25, 2022

6.5K
Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
12:19

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

8.8K

Related Experiment Videos

Last Updated: Jan 27, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

13.2K
Optogenetic Phase Transition of TDP-43 in Spinal Motor Neurons of Zebrafish Larvae
07:14

Optogenetic Phase Transition of TDP-43 in Spinal Motor Neurons of Zebrafish Larvae

Published on: February 25, 2022

6.5K
Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
12:19

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

8.8K

Area of Science:

  • Quantum Information Processing
  • Quantum Mechanics
  • Quantum Cryptography

Background:

  • Quantum information processing leverages quantum mechanics for advanced computation and communication.
  • Nonlinear maps on quantum systems, using identical copies, are crucial for quantum key distribution (QKD) distillation protocols.

Purpose of the Study:

  • To investigate the dynamical behavior of quantum distillation protocols, particularly their sensitivity to initial state purity.
  • To characterize the emergence of complex, quasi-chaotic dynamics and fractal structures in these protocols.

Main Methods:

  • Analysis of quantum distillation protocols involving multiple identical quantum systems.
  • Examination of the system's evolution for both pure and mixed initial states.
  • Identification of phase transitions and fractal structures in the parameter space.

Main Results:

  • Quantum distillation protocols exhibit sensitive, quasi-chaotic evolution for both pure and mixed initial states.
  • The complex dynamics and fractal structures appear as a phase transition controlled by initial state purity.
  • The fractal dimension remains constant post-transition, independent of purity.

Conclusions:

  • Quantum key distribution distillation protocols display complex, chaotic dynamics that are resilient to initial state uncertainty.
  • The transition to chaotic behavior is akin to a phase transition, with initial state purity acting as the control parameter.
  • Quasi-chaotic behavior is observable in initial states with purity exceeding a critical threshold.