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Dissipative properties of relativistic two-dimensional gases

Author

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  • García-Perciante, A.L.
  • Méndez, A.R.

Abstract

The constitutive equations for the heat flux and the Navier tensor are established for a high temperature dilute gas in two spatial dimensions. The Chapman–Enskog procedure to first order in the gradients is applied in order to obtain the dissipative energy and momentum fluxes from the relativistic Boltzmann equation. The solution for such equation is written in terms of three sets of orthogonal polynomials which are explicitly obtained for this calculation. As in the three dimensional scenario, the heat flux is shown to be driven by the density, or pressure, gradient additionally to the usual temperature gradient given by Fourier’s law. For the stress (Navier) tensor one finds, also in accordance with the three dimensional case, a non-vanishing bulk viscosity for the ideal monoatomic relativistic two dimensional gas. All transport coefficients are calculated analytically for the case of a hard disk gas and both the non-relativistic and ultrarelativistic limits for the constitutive equations are addressed.

Suggested Citation

  • García-Perciante, A.L. & Méndez, A.R., 2019. "Dissipative properties of relativistic two-dimensional gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 530(C).
    • Handle: RePEc:eee:phsmap:v:530:y:2019:i:c:s0378437119309112
    DOI: 10.1016/j.physa.2019.121559
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