REVIEW 1 cited by
Mean-Field Magnetohydrodynamics Models as Scaling Limits of Stochastic Induction Equations
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We study the asymptotic properties of a stochastic model for the induction equations of the magnetic field in a three dimensional periodic domain. The turbulent velocity field driving the electromotive force on the magnetic field is modeled by a noise white in time. For this model we rigorously take a scaling limit leading to a deterministic model. While in case of isotropic turbulence this produces an additional dissipation in the limit model which influences also the decay rate of the Magnetic field in the stochastic model, the case of turbulence devoloped in a preferential direction allows us to find a dynamo effect.
Forward citations
Cited by 1 Pith paper
-
A scaling limit for Vlasov equations with electrostatic fluctuations
Random electrostatic fluctuations with fixed intensity and vanishing spatial correlation produce velocity diffusion in the Vlasov-Poisson limit, proving a deterministic Vlasov-Fokker-Planck equation.
Discussion (0). Continue with ORCID to comment.