Related Experiment Video
Updated: Aug 13, 2026

06:53
Scanning SQUID Study of Vortex Manipulation by Local Contact
Published on: February 1, 2017
Magnetic reconnection in the two-dimensional Kelvin-Helmholtz instability
1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Physical Review Letters
|June 13, 2002
Summary
Magnetic reconnection in Kelvin-Helmholtz instability shows peak rates depend on flow shear, not resistivity. This finding differs significantly between low and high magnetic Reynolds numbers (S).
Area of Science:
- Plasma Physics
- Astrophysics
- Fluid Dynamics
Background:
- The Kelvin-Helmholtz instability is a fundamental process in astrophysical and laboratory plasmas.
- Magnetic reconnection, a key energy release mechanism, is often studied in conjunction with plasma instabilities.
- Previous studies noted transient magnetic reconnection during Kelvin-Helmholtz instability on the instability's timescale.
Purpose of the Study:
- To investigate the peak magnetic reconnection rate during the two-dimensional Kelvin-Helmholtz instability.
- To determine the dependence of this peak reconnection rate on plasma resistivity and initial flow shear.
- To explore the impact of varying magnetic Reynolds numbers (S) on the instability's evolution.
Main Methods:
- Simulations using reduced Magnetohydrodynamic (MHD) equations with constant resistivity and viscosity.
- Analysis of super-Alfvénic flow conditions.
- Examination of reconnection rates relative to initial vortex formation and flow shear.
Main Results:
- The peak magnetic reconnection rate is independent of resistivity for the range studied.
- The peak reconnection rate is primarily a function of the initial flow shear.
- A fundamental difference in evolutionary behavior is observed between low (S=200) and high (S=10,000) magnetic Reynolds numbers.
Conclusions:
- Peak reconnection rates in Kelvin-Helmholtz instability are governed by flow shear, not resistivity.
- The magnetic Reynolds number significantly influences the overall dynamics of the instability and reconnection process.
- These findings have implications for understanding energy dissipation in various plasma environments.
Related Concept Videos
Magnetic Fields
A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
A magnetic field is defined by the force that a charged particle experiences...
A magnetic field is defined by the force that a charged particle experiences...
Magnetic Force Between Two Parallel Currents
Two long, straight, and parallel current-carrying conductors exert a force of equal magnitude on one another. The direction of the force depends on the current direction in the conductors.
The force exerted by the magnetic field due to the first conductor over a finite length of the second conductor is given as the product of the current in the second conductor and the vector product of the length vector along the current element and the field due to the first conductor. According to the...
The force exerted by the magnetic field due to the first conductor over a finite length of the second conductor is given as the product of the current in the second conductor and the vector product of the length vector along the current element and the field due to the first conductor. According to the...
Magnetic Field due to Moving Charges
A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Divergence and Curl of Magnetic Field
The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
Magnetostatic Boundary Conditions
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...
Magnetic Vector Potential
In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic field ensures that the magnetic field can be expressed as the curl of a vector potential. This potential is known as the magnetic vector potential.
Consider an ideal solenoid with n turns per unit length and radius R. If I is the current through the solenoid, the magnetic field inside the solenoid is expressed as the product of vacuum...
Consider an ideal solenoid with n turns per unit length and radius R. If I is the current through the solenoid, the magnetic field inside the solenoid is expressed as the product of vacuum...

