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Nonlinear diffusion of gluons

Author

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  • Wolschin, Georg

Abstract

It is proposed to consider the fast thermalization of gluons in relativistic heavy-ion collisions as a diffusion process in momentum space. Closed-form analytical solutions of a nonlinear boson diffusion equation (NBDE) with constant drift and diffusion coefficients v, D and boundary conditions at the singularity are derived. The time evolution towards local central temperatures T≲600MeV through inelastic gluon scatterings in heavy-ion collisions is calculated for under- and overoccupied systems in the full momentum range. The results are consistent with QCD-based numerical calculations for gluon thermalization via inelastic gluon collisions.

Suggested Citation

  • Wolschin, Georg, 2022. "Nonlinear diffusion of gluons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    • Handle: RePEc:eee:phsmap:v:597:y:2022:i:c:s0378437122002485
    DOI: 10.1016/j.physa.2022.127299
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    References listed on IDEAS

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    1. Simon, A. & Wolschin, G., 2021. "Time-dependent condensate fraction in an analytical model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    2. Wolschin, Georg, 2018. "Equilibration in finite Bose systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 1-10.
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    1. Simon, A. & Wolschin, G., 2021. "Time-dependent condensate fraction in an analytical model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).

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