Testing the Steady-State Fluctuation Relation in the Solar Photospheric Convection.

The turbulent thermal convection on the Sun is an example of an irreversible non-equilibrium phenomenon in a quasi-steady state characterized by a continuous entropy production rate. Here, the statistical features of a proxy of the local entropy production rate, in solar quiet regions at different timescales, are investigated and compared with the symmetry conjecture of the steady-state fluctuation theorem by Gallavotti and Cohen. Our results show that solar turbulent convection satisfies the symmetries predicted by the fluctuation relation of the Gallavotti and Cohen theorem at a local level.

Zernike basis optimization for solar adaptive optics by using information theory.

Karhunen-Loève functions represent the best choice for modal wavefront reconstruction. They are usually built up as a linear combination of Zernike polynomials by using principal component analysis methods; thus they are ordered by covariance. Using Shannon information theory, we provide a best reordering procedure based on the concept of mutual information.

Comparison between beta-cell function and insulin resistance indexes in prepubertal and pubertal obese children.

Several methods have been developed to assess insulin resistance (IR), insulin secretion, and sensitivity: some of them, such as the homeostasis model assessment (HOMA) for IR (HOMA IR) and for insulin secretion (HOMA beta cell) and the quantitative insulin sensitivity check index (QUICKI) are based on fasting levels of glucose (fasting G) and insulin (fasting I); others, such as the pancreatic insulin response to glucose (IRG) and the insulin sensitivity index (ISI) are derived from the glycemic and insulinemic responses to the oral glucose tolerance test (OGTT). The aim of the study was to compare these indexes in a large group of prepubertal and pubertal obese subjects and verify whether the data from fasting samples were enough for evaluating IR and insulin secretion or if OGTT was mandatory. A total of 405 obese subjects (221 boys and 184 girls) was studied.