Spectral eigenfunction decomposition of a Fokker-Planck operator for relativistic heavy-ion collisions
| Autor: | Rizzi, A., Wolschin, G. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Eur. Phys. J. A 60, 196 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1140/epja/s10050-024-01410-7 |
| Popis: | A spectral solution method is proposed to solve a previuously 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 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. Comment: 17 pages, 8 figures; submitted to Eur. Phys. J. A |
| Databáze: | arXiv |
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