Spectral eigenfunction decomposition of a Fokker-Planck operator for relativistic heavy-ion collisions

• Verfasst von: Rizzi, Alessandro [VerfasserIn]
• Verfasst von: Wolschin, Georg [VerfasserIn]
• Titel: Spectral eigenfunction decomposition of a Fokker-Planck operator for relativistic heavy-ion collisions
• Verf.angabe: A. Rizzi, G. Wolschin (Institut für Theoretische Physik der Universität Heidelberg)
• Jahr: 2024
• Umfang: 16$i196
• Illustrationen: Diagramme
• Fussnoten: Online veröffentlicht: 30. September 2024 ; Gesehen am 26.02.2025
• Titel Quelle: Enthalten in: The European physical journal. A, Hadrons and nuclei
• Ort Quelle: Berlin : Springer, 1998
• Jahr Quelle: 2024
• Band/Heft Quelle: Volume 60 (2024), article number 196, Seite [1]-16
• ISSN Quelle: 1434-601X
• DOI: doi:10.1140/epja/s10050-024-01410-7
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1918581878

Abstract

A spectral solution method is proposed to solve a previously developed non-equilibrium statistical model describing partial thermalization of produced charged hadrons in relativistic heavy-ion collisions, thus improving the accuracy of the numerical solution. The particle’s phase-space trajectories are treated as a drift-diffusion stochastic process, leading to a Fokker-Planck equation (FPE) for the single-particle probability distribution function. The drift and diffusion coefficients are derived from the expected asymptotic states via appropriate fluctuation-dissipation relations, and the resulting FPE is then solved numerically using a spectral eigenfunction decomposition. The calculated time-dependent particle distributions are compared to Pb-Pb data from the ATLAS and ALICE collaborations at the Large Hadron Collider.