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arXiv · 1205.6079

Non-extensive statistics, relativistic kinetic theory and fluid dynamics

T. S. Biró·E. Molnár
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Abstract

Experimental particle spectra can be successfully described by power-law tailed energy distributions characteristic to canonical equilibrium distributions associated to R\'enyi'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.

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BibTeXRIS

T. S. Biró, E. Molnár. 2012-05-28. Non-extensive statistics, relativistic kinetic theory and fluid dynamics. https://doi.org/10.1140/epja/i2012-12172-8

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