Relativistic kinetics and power-law–tailed distributions
Dipartimento di Fisica, Politecnico di Torino - Corso Duca degli Abruzzi 24, 10129 Torino, Italy, EU
Accepted: 25 October 2010
The present paper is devoted to the relativistic statistical theory, introduced in Phys. Rev. E, 66 (2002) 056125 and Phys. Rev. E, 72 (2005) 036108, predicting the particle distribution function p(E)=expκ(−β[E−μ]) with and κ2<1. This, experimentally observed, relativistic distribution, at low energies behaves as the exponential, Maxwell-Boltzmann classical distribution, while at high energies presents power-law tails. Here, we obtain the evolution equation, conducting asymptotically to the above distribution, by using a new deductive procedure, starting from the relativistic BBGKY hierarchy and by employing the relativistic molecular chaos hypothesis.
PACS: 51.10.+y – Kinetic and transport theory of gases / 52.27.Ny – Relativistic plasmas / 05.20.-y – Classical statistical mechanics
© EPLA, 2010