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Updated: Jul 6, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Three-dimensional lattice Boltzmann model for magnetic reconnection.

M Mendoza¹, J D Muñoz

¹Simulation of Physical Systems Group, Universidad Nacional de Colombia, Departamento de Fisica, Bogotá DC, Colombia. mmendozaj@unal.edu.co

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 21, 2008

Summary

A new three-dimensional lattice Boltzmann model simulates plasma behavior, including magnetic reconnection, without assuming resistivity. This computational plasma physics tool accurately reproduces key phenomena like the Hartmann flow and magnetotail reconnection.

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Last Updated: Jul 6, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Area of Science:

Computational physics
Plasma physics
Fluid dynamics

Background:

The two-fluid theory describes plasma behavior, incorporating the generalized Ohm's law.
Magnetic reconnection is a crucial process in space plasmas, often requiring assumptions about resistivity.
Lattice Boltzmann methods offer a powerful framework for simulating complex fluid dynamics.

Purpose of the Study:

To develop a novel three-dimensional lattice Boltzmann model for plasma simulation.
To recover the two-fluid theory and generalized Ohm's law in the continuous limit.
To simulate magnetic reconnection without prior assumptions on resistivity.

Main Methods:

A three-dimensional lattice Boltzmann model using D3Q19 for plasma fluids and D3Q13 for electromagnetic fields.
Treating plasma as two interacting fluids and electromagnetic fields as a third fluid.
Simulating both viscous incompressible and nonviscous compressible fluids.

Main Results:

The model successfully reproduces the Hartmann flow.
The model accurately simulates magnetic reconnection in the magnetotail without resistivity assumptions.
Obtained reconnection rates (R=0.062–0.073) align well with observational data.

Conclusions:

The developed lattice Boltzmann model provides a robust framework for simulating plasma dynamics, including magnetic reconnection.
This approach eliminates the need for resistivity assumptions in reconnection simulations.
The model's success in reproducing key phenomena validates its potential for further plasma physics research.