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

Types of Damping01:20

Types of Damping

8.2K
If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
8.2K
Entropy02:39

Entropy

38.3K
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
38.3K
Design Example: Creating a Hydraulic Model of a Dam Spillway01:21

Design Example: Creating a Hydraulic Model of a Dam Spillway

949
Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
949
Multimachine Stability01:25

Multimachine Stability

633
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
633
Damped Oscillations01:07

Damped Oscillations

7.7K
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...
7.7K
The Entropy as a State Function01:14

The Entropy as a State Function

124
Consider an arbitrary process that moves between two specific states (A and B) in a cyclic manner. This process is reversible and broken down into smaller parts that each follow a Carnot cycle. A Carnot cycle has two isothermal (constant temperature) processes. During these processes, the ratio of the amount of heat transferred to their respective temperature remains constant. The other two processes in the Carnot cycle are also reversible but adiabatic, which means they occur without any heat...
124

You might also read

Related Articles

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

Sort by
Same author

Material surfaces in stochastic flows: Integrals of motion and intermittency.

Physical review. E·2023
Same author

Long-term properties of finite-correlation-time isotropic stochastic systems.

Physical review. E·2022
Same author

Stationary scaling in small-scale turbulent dynamo problem.

Physical review. E·2020
Same author

Turbulent transport in reaction-diffusion systems.

Physical review. E·2019
Same author

Passive scalar transport by a non-Gaussian turbulent flow in the Batchelor regime.

Physical review. E·2018
Same author

Comment on "Decrease of Atmospheric Neutron Counts Observed during Thunderstorms".

Physical review letters·2015

Related Experiment Video

Updated: Apr 19, 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

9.1K

Virtual states and exponential decay in small-scale dynamo.

A V Kopyev1, V A Sirota1, A S Il'yn1,2

  • 1P. N. Lebedev Physical Institute of RAS, Leninskij pr. 53, Moscow 119991, Russia.

Physical Review. E
|April 18, 2026
PubMed
Summary
This summary is machine-generated.

We reconciled Kazantsev theory with simulations for small-scale dynamo generation. The theory

More Related Videos

Evolution of Staircase Structures in Diffusive Convection
07:28

Evolution of Staircase Structures in Diffusive Convection

Published on: September 5, 2018

7.0K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.8K

Related Experiment Videos

Last Updated: Apr 19, 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

9.1K
Evolution of Staircase Structures in Diffusive Convection
07:28

Evolution of Staircase Structures in Diffusive Convection

Published on: September 5, 2018

7.0K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.8K

Area of Science:

  • Astrophysics and Plasma Physics
  • Magnetohydrodynamics
  • Dynamo Theory

Background:

  • Small-scale dynamo generation is crucial for astrophysical phenomena.
  • Discrepancies exist between Kazantsev theory predictions and numerical simulations at low Prandtl numbers.
  • Understanding dynamo generation near the threshold is key to explaining magnetic field evolution.

Purpose of the Study:

  • To reconcile Kazantsev theory with numerical simulations for small-scale dynamo generation.
  • To investigate the discrepancy in decay exponents (power-law vs. exponential) below the generation threshold.
  • To identify the physical mechanisms responsible for observed decay behaviors.

Main Methods:

  • Development and application of the Kazantsev theory for small-scale dynamo generation.
  • Analysis of numerical simulations of dynamo generation at small Prandtl numbers.
  • Investigation of the velocity correlator and its role in decay dynamics.
  • Connection to Schrödinger-type equations to analyze temporary exponential decay.

Main Results:

  • The Kazantsev theory now aligns with numerical simulations regarding dynamo generation near the threshold.
  • The exponential decay observed in simulations below the threshold is shown to be temporary.
  • This temporary decay is attributed to the flattening of the velocity correlator at large scales, linked to a virtual level in the Schrödinger equation.
  • Critical Reynolds number, growth/decay increments, and decay time were determined and related to velocity correlator properties.

Conclusions:

  • The temporary nature of exponential decay in small-scale dynamo generation has been elucidated.
  • The study provides a theoretical framework to explain simulation results and facilitates comparison across different studies.
  • The findings enhance our understanding of magnetic field generation mechanisms in plasmas.