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Exact solution of the (0+1)-dimensional Boltzmann equation for a massive gas
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We solve the one-dimensional boost-invariant kinetic equation for a relativistic massive system with the collision term treated in the relaxation time approximation. The result is an exact integral equation which can be solved numerically by the method of iteration to arbitrary precision. We compare predictions for the shear and bulk viscosities of a massive system with those obtained from the exact solution. Finally, we compare the time evolution of the bulk pressure obtained from our exact solution with results obtained from the dynamical equations of second-order viscous hydrodynamics.
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Cited by 2 Pith papers
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Towards the BBGKY hierarchy: a scheme beyond the Boltzmann equation and application to a weakly confined QCD gas
A correlation time approximation that keeps the second level of the BBGKY hierarchy yields analytic conserved correlators with new nonhydrodynamic cuts and a negative O(sigma_hat) correction to eta/s.
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Quasiparticle second-order dissipative hydrodynamics at finite chemical potential
A quasiparticle kinetic theory with a bag term yields second-order equations of relativistic dissipative hydrodynamics with baryon diffusion and chemical-potential-dependent transport coefficients.
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