Relativistic radiative hydrodynamics
type: Item
instance of: scholarly article
title: Relativistic radiative hydrodynamics
zbMATH Open document ID: 0633.76130
DOI: 10.1016/0003-4916(88)90247-3
author: Martin Andreas Schweizer
published in: Annals of Physics
publication date: 1988-01-01T00:00:00Z
review text: In conventional radiative hydrodynamics, the dissipative fluxes are proportional to the gradients of the temperature, velocity, etc., with proportionally constants inferred from the linearized radiative transfer equation. The dynamical evolution is determined by the conservation of matter, energy, and momentum. Conventional theory breaks down if the geometry under consideration is photospheric, i.e., if emission/absorption processes are weak compared to scattering and photons can ``random walk'' over large distances without being absorbed. The fundamental dynamical equations of motion include the relativistic transfer equation and form the starting point for establishing extended versions of radiative hydrodynamics. The transfer equation is replaced by a hierarchy of relativistic moment equations and the dissipative fluxes are treated as dynamical variables in their own right. The general moment equations involve source terms which are a priori undetermined. If the radiation is almost thermal the source terms can be expressed with Rosseland means. In this case, the moment equations reproduce the structure equations postulated by Israel for general dissipative continuous media. Quantitative aspects are discussed. In the limit of slow motion, the moment equations are studied separately and interpreted as hyperbolic diffusion equations. These are solved with a relativistic random walk model and the results are applied to time-dependent radiative transfer. Time profiles in every scattering order are given and compared with Monte Carlo simulations. The viscous damping of acoustic modes is reconsidered. Equations of motion for spherical accretion in a Schwarzschild geometry are established and compared with conventional equations used in the literature. Ill-known limitations of conventional radiative hydrodynamics are highlighted.
Mathematics Subject Classification ID: 76Y05
Mathematics Subject Classification ID: 83C55
zbMATH DE Number: 4031338
zbMATH Keywords: radiative hydrodynamics
zbMATH Keywords: dissipative fluxes
zbMATH Keywords: emission/absorption processes
zbMATH Keywords: relativistic transfer equation
zbMATH Keywords: hierarchy of relativistic moment equations
zbMATH Keywords: relativistic random walk model
zbMATH Keywords: time-dependent radiative transfer
MaRDI profile type: Publication
full work available at URL: 0003-4916(88)90247-3
OpenAlex ID: W2019083276
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description: scientific article; zbMATH DE number 4031338