2012/03/31 by M. Rybczyński, Maciej Rybczynski, Z. Włodarczyk +3 · 1 citation
Environmental Science · Mathematics · Physics and Astronomy · #Distribution (mathematics) #Energy (signal processing) #Exponential function #Geometry #Hydrology and Drought Analysis #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Scaling #Statistical Distribution Estimation and Applications #Statistical Mechanics and Entropy #Statistical physics #Tsallis statistics #Variable (mathematics) #hep-ph #nucl-th
paper · pdf · doi:10.1088/0954-3899/39/9/095004
published as J. Phys. G: Nucl. Part. Phys. 39 (2012) 095004 · Final version, accepted by J.Phys. G
arxiv created 2012/07/11 · openalex publication_date 2012/08/16 · arxiv updated 2015/06/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It has been noticed recently that transverse momenta (pT) distributions observed in high energy production processes exhibit remarkably universal scaling behaviour. This is the case when a suitable variable replaces the usual pT. On the other hand, it is also widely known that transverse momentum distributions in general follow a power-like Tsallis distribution, rather than an exponential Boltzmann-Gibbs, with a (generally energy dependent) nonextensivity parameter q. Here we show that it is possible to choose a suitable variable such that all the data can be fitted by the same Tsallis distribution (with the same, energy independent value of the q-parameter). Thus they exhibit q-scaling.