A moment-based hierarchy (zeroth, first, second order) diagnoses convergence of Lyman-alpha MCRT momentum-transfer estimators, showing that core-skipping biases internal forces and that statistical precision, cost, and physical accuracy must be evaluated separately.
On the transfer of resonant-line radiation in mesh simulations
2 Pith papers cite this work. Polarity classification is still indexing.
abstract
The last decade has seen applications of Adaptive Mesh Refinement (AMR) methods for a wide range of problems from space physics to cosmology. With the advent of these methods, in which space is discretized into a mesh of many individual cubic elements, the contemporary analog of the extensively studied line radiative transfer (RT) in a semi-infinite slab is that of RT in a cube. In this study we provide an approximate solution of the RT equation, as well as analytic expressions for the probability distribution functions (pdfs) of the properties of photons emerging from a cube, and compare them with the corresponding slab problem. These pdfs can be used to perform fast resonant-line RT in optically thick AMR cells where, otherwise, it could take unrealistically long times to transfer even a handful of photons.
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astro-ph.GA 2years
2026 2verdicts
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Analytical and fitting formulae for Lyα radiative-transfer spectra under slab, cylindrical and spherical geometries, including recoil and constant velocity gradients, verified against Monte Carlo simulations.
citing papers explorer
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Force convergence in Monte Carlo Lyman-alpha radiative transfer
A moment-based hierarchy (zeroth, first, second order) diagnoses convergence of Lyman-alpha MCRT momentum-transfer estimators, showing that core-skipping biases internal forces and that statistical precision, cost, and physical accuracy must be evaluated separately.
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Analytical and fitting formulae for solutions to Lyman-alpha radiative transfer equations: the effects of geometry, recoil, and velocity gradients
Analytical and fitting formulae for Lyα radiative-transfer spectra under slab, cylindrical and spherical geometries, including recoil and constant velocity gradients, verified against Monte Carlo simulations.