کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
975852 | 933059 | 2006 | 6 صفحه PDF | دانلود رایگان |
Distributions exhibiting fat tails occur frequently in many different areas of science. A dynamical reason for fat tails can be a so-called superstatistics, where one has a superposition of local Gaussians whose variance fluctuates on a rather large spatio-temporal scale. After briefly reviewing this concept, we explore in more detail a class of superstatistics that hasn’t been subject of many investigations so far, namely superstatistics for which a suitable power βηβη of the local inverse temperature ββ is χ2χ2-distributed. We show that η>0η>0 leads to power-law distributions, while η<0η<0 leads to stretched exponentials. The special case η=1η=1 corresponds to Tsallis statistics and the special case η=-1η=-1 to exponential statistics of the square root of energy. Possible applications for granular media and hydrodynamic turbulence are discussed.
Journal: Physica A: Statistical Mechanics and its Applications - Volume 365, Issue 1, 1 June 2006, Pages 96–101