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Exact solution of the (0+1)-dimensional Boltzmann equation for a massive gas

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arxiv 1402.7348 v1 pith:763UJ4EK submitted 2014-02-28 hep-ph nucl-th

Wojciech Florkowski , Ewa Maksymiuk , Radoslaw Ryblewski , Michael Strickland This is my paper · ORCID
classification hep-phnucl-th
keywords exactequationmassiveobtainedsolutionbulkcomparesystem
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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 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Relaxation for massive particles: transport and causality

    hep-th 2025-06 conditional novelty 6.0 of 10

    The paper derives closed-form mass-dependent transport coefficients for massive RTA gases and proposes that the discontinuity across the correlator cut defines an effective lightcone velocity.

  2. Kinetic Theory of Quasiparticles, Retarded Correlators and Hydrodynamics

    nucl-th 2025-04 conditional novelty 6.0 of 10

    For a massive Maxwell-Boltzmann gas in the relaxation-time approximation, finite mass removes the propagating sound mode, leaving purely imaginary modes, while shear and diffusion modes stay close to the massless results.

  3. Towards the BBGKY hierarchy: a scheme beyond the Boltzmann equation and application to a weakly confined QCD gas

    hep-th 2024-12 reject novelty 6.0 of 10

    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.

  4. Quasiparticle second-order dissipative hydrodynamics at finite chemical potential

    hep-ph 2024-12 conditional novelty 5.0 of 10

    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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