Relativistic radiative transfer in relativistic plane-parallel flows: Behavior of the Eddington factor

Fukue Jun

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Relativistic radiative transfer in relativistic plane-parallel flows: Behavior of the Eddington factor

机译：相对论平面平行流中的相对论辐射传递：爱丁顿因子的行为

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Relativisticradiativetransferinarelativisticplanea€“parallelflowwhichisacceleratedfromitsbase,likeanaccretiondiskwind,isnumericallyexaminedunderafullyspecial-relativistictreatment.Wefirstderiverelativisticformalsolutions.Wetheniterativelysolvetherelativistictransferequationforseveralcasessuchasradiativeequilibriumorlocalthermodynamicequilibrium,andobtainspecificintensitiesintheinertialandcomovingframes,aswellasmomentquantitiesandtheEddingtonfactor.Momentquantitiesareratherdifferentineachcase,butthebehavioroftheEddingtonfactorfortheplanea€“parallelcaseisquitesimilarinallcases.TheEddingtonfactorgenerallydependsontheflowvelocityvaswellastheopticaldepth??.Inthecaseofrelativisticplanea€“parallelflows,inanopticallythinregimeof??a‰21,itisslightlylargerthan1/3atveryslowspeed,itbecomessmallerthan1/3atmildlyrelativisticspeed,anditagainincreasesuptounityinthehighlyrelativisticcase.Athighlyrelativisticspeed,ontheotherhand,itbecomeslargerthan1/3eveninanopticallythickregime.WefindtheEddingtonapproximationisfairlygood,exceptfor??a‰21orv/ca‰30.9,althoughthemomentformalismundertheEddingtonapproximationhassomedefectsat$$v/c=1/sqrt{3}$$.

机译：Relativisticradiativetransferinarelativisticplanea€ “parallelflowwhichisacceleratedfromitsbase，likeanaccretiondiskwind，isnumericallyexaminedunderafullyspecial relativistictreatment.Wefirstderiverelativisticformalsolutions.Wetheniterativelysolvetherelativistictransferequationforseveralcasessuchasradiativeequilibriumorlocalthermodynamicequilibrium，andobtainspecificintensitiesintheinertialandcomovingframes，aswellasmomentquantitiesandtheEddingtonfactor.Momentquantitiesareratherdifferentineachcase，butthebehavioroftheEddingtonfactorfortheplanea€” parallelcaseisquitesimilarinallcases.TheEddingtonfactorgenerallydependsontheflowvelocityvaswellastheopticaldepth ??。Inthecaseofrelativisticplanea€“parallelflows，inanopticallythinregimeof ?? 21‰，itisslightlylargerthan1 / 3atveryslowspeed，itbecomessmallerthan1 / 3atmildlyrelativisticspeed，在相对论速度很高的情况下，在光学相对较厚的情况下，它变得大于1 /3。我们发现爱丁顿方法除了?? 21orv / ca≥30.9以外，此方法的效果还不错，尽管在eddington近似下的矩形式主义在$$ v / c = 1 / sqrt {3} $$时有一些缺陷。

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《PASJ: Publications of the Astronomical Society of Japan》 |2014年第4期|共页
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Fukue Jun;
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1. Relativistic radiative transfer in relativistic plane-parallel flows: Behavior of the Eddington factor [J] . Jun FUKUE PASJ: Publications of the Astronomical Society of Japan . 2014,第4期

机译：相对论平面平行流中的相对论辐射传递：爱丁顿因子的行为
2. Relativistic Milne-Eddington-type solutions with a variable Eddington factor for relativistic plane-parallel flows [J] . Fukue J. Progress of Theoretical Physics . 2011,第1期

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3. Relativistic Variable Eddington Factor in a Relativistic Plane-Parallel Flow [J] . Jun FUKUE PASJ: Publications of the Astronomical Society of Japan . 2009,第2期

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机译：相对论平面平行流中的相对论变量爱丁顿因子

Relativistic radiative transfer in relativistic plane-parallel flows: Behavior of the Eddington factor

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