Magnetic concentrations in stratified turbulence: the negative effective magnetic pressure instability
Axel Brandenburg (1,2), Igor Rogachevskii (3,2), Nathan Kleeorin (3,2), ((1) University of Colorado, (2) Nordita, (3) Ben-Gurion University)

TL;DR
This paper reviews the negative effective magnetic pressure instability mechanism, demonstrating how strong stratification in turbulence leads to magnetic flux concentrations, with simulations supporting its relevance to sunspot formation.
Contribution
It provides a comprehensive review and numerical evidence for the negative effective magnetic pressure instability in stratified turbulence, linking it to sunspot formation.
Findings
Numerical simulations confirm flux concentration formation.
Qualitative and quantitative agreement with mean-field models.
Implications for understanding sunspot emergence.
Abstract
In the presence of strong density stratification, hydromagnetic turbulence attains qualitatively new properties: the formation of magnetic flux concentrations. We review here the theoretical foundations of this mechanism in terms of what is now called the negative effective magnetic pressure instability. We also present direct numerical simulations of forced turbulence in strongly stratified layers and discuss the qualitative and quantitative similarities with corresponding mean-field simulations. Finally, the relevance to sunspot formation is discussed.
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