id: 05950833
dt: j
an: 05950833
au: Bercher, J.-F.
ti: Maximum entropy with fluctuating constraints: the example of
    K-distributions.
so: Phys. Lett., A 372, No. 24, 4361-4363 (2008).
py: 2008
pu: Elsevier Science (North-Holland), Amsterdam
la: EN
cc: 
ut: maximum entropy principle; superstatistics; K-distributions
ci: 
li: doi:10.1016/j.physleta.2008.04.016
ab: Summary: We indicate that in a maximum entropy setting, the thermodynamic
    $β$ and the observation constraint are linked, so that fluctuations of
    the latter imposes fluctuations of the former. This gives an alternate
    viewpoint to ‘superstatistics’. While a Gamma model for
    fluctuations of the $β$ parameter gives the so-called Tsallis
    distributions, we work out the case of a Gamma model for fluctuations
    of the observable, and show that this leads to K-distributions. We draw
    attention to the fact that these heavy-tailed distributions have high
    interest in physical applications, and we discuss them in some details.
rv: