https://doi.org/10.1140/epja/i2012-12172-8
Regular Article - Theoretical Physics
Non-extensive statistics, relativistic kinetic theory and fluid dynamics
1
MTA Wigner Research Centre for Physics, P.O.Box 49, H-1525, Budapest, Hungary
2
MTA-DE Particle Physics Research Group, P.O.Box 105, H-4010, Debrecen, Hungary
3
Frankfurt Institute for Advanced Studies, Ruth-Moufang-Str. 1, D-60438, Frankfurt am Main, Germany
Received:
28
May
2012
Accepted:
29
August
2012
Published online:
28
November
2012
Experimental particle spectra can be successfully described by power law tailed energy distributions characteristic to canonical equilibrium distributions associated to Rényi’s or Tsallis’ entropy formula --over a wide range of energies, colliding system sizes, and produced hadron sorts. In order to derive its evolution one needs a corresponding dynamical description of the system which results in such final state observables. The equations of relativistic fluid dynamics are obtained from a non-extensive Boltzmann equation consistent with Tsallis’ non-extensive q-entropy formula. The transport coefficients like shear viscosity, bulk viscosity, and heat conductivity are evaluate based on a linearized collision integral.
© SIF, Springer-Verlag Berlin Heidelberg, 2012
