## Detalles de publicación

PP 06058

## A simple model for the distribution of quiet Sun magnetic field strengths

Instituto de Astrofisica de Canarias,
La Laguna, Tenerife, Spain

We derive a first order linear differential equation

describing the shape of the probability density

function of magnetic field strengths in the quiet

Sun (PDF). The modeling is very schematic. It considers

convective motions which continuously supply

and withdraw magnetic structures. In addition, a

magnetic amplification mechanism increases the field

strength up to a threshold that cannot be exceeded.

These three basic ingredients provide PDFs in good

agreement with the PDFs produced by realistic numerical

simulations of magneto convection, as well as with quiet

Sun PDFs inferred from observations. In particular, the

distribution is approximately lognormal, and it produces

an excess of magnetic fields (i.e., a 'hump' in the

distribution) right before the maximum field strength.

The success of this simple model may indicate that

only a few basic ingredients shape the quiet Sun PDF.

Our approach provides a concise parametric representation

of the PDF, as required to develop automatic methods of

diagnostics.

describing the shape of the probability density

function of magnetic field strengths in the quiet

Sun (PDF). The modeling is very schematic. It considers

convective motions which continuously supply

and withdraw magnetic structures. In addition, a

magnetic amplification mechanism increases the field

strength up to a threshold that cannot be exceeded.

These three basic ingredients provide PDFs in good

agreement with the PDFs produced by realistic numerical

simulations of magneto convection, as well as with quiet

Sun PDFs inferred from observations. In particular, the

distribution is approximately lognormal, and it produces

an excess of magnetic fields (i.e., a 'hump' in the

distribution) right before the maximum field strength.

The success of this simple model may indicate that

only a few basic ingredients shape the quiet Sun PDF.

Our approach provides a concise parametric representation

of the PDF, as required to develop automatic methods of

diagnostics.