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

Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

478
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
478
Divergence and Curl of Electric Field01:25

Divergence and Curl of Electric Field

5.7K
The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from the positive charge and converges at the negative charge. The divergence of an electric field is derived using Gauss's law and is equal to the charge density divided by the permittivity of space. Mathematically, it is expressed as
5.7K
Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

934
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
934
Phase Transitions02:31

Phase Transitions

19.1K
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...
19.1K
Path Between Thermodynamics States01:21

Path Between Thermodynamics States

3.2K
Consider the two thermodynamic processes involving an ideal gas that are represented by paths AC and ABC in Figure 1:
3.2K
Schwarzschild Radius and Event Horizon01:21

Schwarzschild Radius and Event Horizon

2.0K
No object with a finite mass can travel faster than the speed of light in a vacuum. This fact has an interesting consequence in the domain of extremely high gravitational fields.
The minimum speed required to launch a projectile from the surface of an object to which it is gravitationally bound so that it eventually escapes the object’s gravitational field is called the escape velocity. The escape velocity is independent of the mass of the object. Merging the idea of escape...
2.0K

You might also read

Related Articles

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

Sort by
Same author

Semiclassical mechanism of sawtooth structure tunneling.

Physical review. E·2026
Same author

Quantum diffusion in the Harper model under polychromatic time-perturbation.

Physical review. E·2026
Same author

Heat-Shock-Inducible Gene Expression Systems in Amphibians: Utility in Regeneration and Metamorphosis Studies.

Development, growth & differentiation·2026
Same author

Dynamic analysis of laser-induced bubbles in liquid PDMS during microFLIB technique and its possible mechanism.

Optics express·2025
Same author

Relaxation of Hamiltonian dynamics in intermediate timescales and slow dynamics of glass-forming liquids.

Physical review. E·2025
Same author

Semiclassical reproducibility of sawtooth structure observed for a periodically perturbed rounded-rectangular potential.

Physical review. E·2025
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Jul 5, 2025

Detection and Quantification of Tunneling Nanotubes Using 3D Volume View Images
12:45

Detection and Quantification of Tunneling Nanotubes Using 3D Volume View Images

Published on: August 31, 2022

2.9K

Dynamical tunneling across the separatrix.

Yasutaka Hanada1, Kensuke S Ikeda2, Akira Shudo3

  • 1Department of Information Science, Showa University, Yamanashi 403-0005, Japan and Department of Physics, Tokyo Metropolitan University, Tokyo 192-0397, Japan.

Physical Review. E
|January 20, 2024
PubMed
Summary
This summary is machine-generated.

This study investigates quantum tunneling enhancement, revealing that global interactions, not local ones, cause strong, persistent effects. Coupling across the phase space separatrix is key to understanding tunneling splitting behavior.

More Related Videos

Probing the Structure and Dynamics of Interfacial Water with Scanning Tunneling Microscopy and Spectroscopy
10:28

Probing the Structure and Dynamics of Interfacial Water with Scanning Tunneling Microscopy and Spectroscopy

Published on: May 27, 2018

8.8K
All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
11:33

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics

Published on: January 19, 2018

9.6K

Related Experiment Videos

Last Updated: Jul 5, 2025

Detection and Quantification of Tunneling Nanotubes Using 3D Volume View Images
12:45

Detection and Quantification of Tunneling Nanotubes Using 3D Volume View Images

Published on: August 31, 2022

2.9K
Probing the Structure and Dynamics of Interfacial Water with Scanning Tunneling Microscopy and Spectroscopy
10:28

Probing the Structure and Dynamics of Interfacial Water with Scanning Tunneling Microscopy and Spectroscopy

Published on: May 27, 2018

8.8K
All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
11:33

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics

Published on: January 19, 2018

9.6K

Area of Science:

  • Quantum mechanics
  • Nonlinear dynamics

Background:

  • Tunneling phenomena are crucial in quantum mechanics, often exhibiting enhanced couplings in tunneling splittings.
  • The transition between instanton and noninstanton tunneling is known to occur in the inverse Planck constant space.

Purpose of the Study:

  • To investigate the strong enhancement of tunneling couplings in quantum maps.
  • To differentiate between local and global interactions responsible for tunneling enhancement.
  • To examine the role of phase space separatrix coupling in tunneling splitting behavior.

Main Methods:

  • Application of the absorbing perturbation technique.
  • Wave-function-based observation to analyze coupling across the phase space separatrix.
  • Analysis of tunneling splittings in parameter space.

Main Results:

  • The transition from instanton to noninstanton tunneling occurs in parameter space, not just inverse Planck constant space.
  • Distinction between enhancement from local avoided crossings and globally spread interactions.
  • Globally spread interactions are responsible for strong and persistent tunneling enhancement.
  • Coupling across the phase space separatrix is critical for explaining tunneling splitting behavior.

Conclusions:

  • Global interactions are the primary drivers of strong, persistent tunneling enhancement.
  • The coupling across the phase space separatrix is essential for understanding tunneling splitting dynamics.
  • The findings prompt a re-examination of the resonance-assisted tunneling theory's validity.