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Non-extensive statistics, relativistic kinetic theory and fluid dynamics

  • Regular Article - Theoretical Physics
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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 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.

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Authors and Affiliations

  1. MTA Wigner Research Centre for Physics, P.O.Box 49, H-1525, Budapest, Hungary

    T. S. Biró & E. Molnár

  2. MTA-DE Particle Physics Research Group, P.O.Box 105, H-4010, Debrecen, Hungary

    E. Molnár

  3. Frankfurt Institute for Advanced Studies, Ruth-Moufang-Str. 1, D-60438, Frankfurt am Main, Germany

    E. Molnár

Authors
  1. T. S. Biró
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  2. E. Molnár
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Communicated by S. Hands

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Biró, T.S., Molnár, E. Non-extensive statistics, relativistic kinetic theory and fluid dynamics. Eur. Phys. J. A 48, 172 (2012). https://doi.org/10.1140/epja/i2012-12172-8

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  • DOI: https://doi.org/10.1140/epja/i2012-12172-8

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