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.
Improved Fokker-Planck Equation for Resonance Line Scattering
2 Pith papers cite this work, alongside 38 external citations. Polarity classification is still indexing.
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abstract
A new Fokker-Planck equation is developed for treating resonance line scattering, especially relevant to the treatment of Lyman alpha in the early universe. It is a "corrected" form of the equation of Rybicki & Dell'Antonio that now obeys detailed balance, so that the approach to thermal equilibrium is properly described. The new equation takes into account the energy changes due to scattering off moving particles, the recoil term of Basko, and stimulated scattering. One result is a surprising unification of the equation for resonance line scattering and the Kompaneets equation. An improved energy exchange formula due to resonance line scattering is derived. This formula is compared to previous formulas of Madau, Meikson, & Rees (1997) and Chen & Miralda-Escud\'e (2004).
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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.