Spectral eigenfunction decomposition of a Fokker-Planck operator for relativistic heavy-ion collisions
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...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2024
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| In: |
The European physical journal. A, Hadrons and nuclei
Year: 2024, Volume: 60, Issue: 9 |
| ISSN: | 1434-601X |
| DOI: | 10.1140/epja/s10050-024-01410-7 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.1140/epja/s10050-024-01410-7
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| Author Notes: | A. Rizzi, G. Wolschin (Institut für Theoretische Physik der Universität Heidelberg) |
| Summary: | 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. |
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| Item Description: | Online veröffentlicht: 30. September 2024 Gesehen am 26.02.2025 |
| Physical Description: | Online Resource |
| ISSN: | 1434-601X |
| DOI: | 10.1140/epja/s10050-024-01410-7 |