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arXiv · 2408.12532

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

A. Rizzi·G. Wolschin
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Abstract

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.

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A. Rizzi, G. Wolschin. 2024-08-22. Spectral eigenfunction decomposition of a Fokker-Planck operator for relativistic heavy-ion collisions. https://doi.org/10.1140/epja%2Fs10050-024-01410-7

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