- Chang, Heon-Young
- 韓國宇宙科學會誌 = Journal of astronomy & space sciences
- 22, n.2
- pp.139-146
- 2005
- 원문 바로보기
A model of advection-dominated accretion flows has been highlighted in the last decade. Most of calculations are based on self-similar solutions of equations governing the accreting flows. We revisit self-similar solutions of the simplest form of advection-dominated accretion flows. We explore the parameter space thoroughly and seek another category of self-similar solutions. In this study we allow the parameter f less than zero, which denotes the fraction of energy transported through advection. We have found followings: 1. For f > 0, in real ADAF solutions the ratio of specific heats <TEX>${\gamma}$</TEX> satisfies 1 < <TEX>${\gamma}$</TEX> < 5/3 for O <TEX>${\leq}$</TEX> f <TEX>${\leq}$</TEX> 1. On the other hands, in wind solutions a rotating disk does not exist. 2. For f < 0, in real ADAF solutions with <TEX>${\epsilon}$</TEX> greater than zero <TEX>${\gamma}$</TEX> requires rather exotic range, that is, <TEX>${\gamma}$</TEX> < 1 or <TEX>${\gamma}$</TEX> > 5/3. When -5/2 < <TEX>${\epsilon}$</TEX>' < 0, however, allowable <TEX>${\gamma}$</TEX> can be found in <TEX>${\gamma}$</TEX> < 5/3, in which case <TEX>4{\Omega}_0$</TEX>,_ is imaginary. 3. For a negative <TEX>$u_0$</TEX>,+ with f > 0, solutions are only allowed with exotic <TEX>${\gamma}$</TEX>, that is, 1 < <TEX>${\gamma}$</TEX> or <TEX>${\gamma}$</TEX> > (5f/2-5/3)/(5f/2-1)when O < f < 2/5, (5f/2-5/3)/(5f/2-1) < <TEX>${\gamma}$</TEX> < 1 when f > 2/5. Since <TEX>${\epsilon}$</TEX>' is negative, <TEX>4{\Omega}_0$</TEX>,+ is again an imaginary quantity. For a negative <TEX>$u_0$</TEX>,+ with f < 0, <TEX>${\gamma}$</TEX> is allowed in 1 < 7 < (5|f|/2 + 5/3)/(5|f|/2 + 1). We briefly discuss physical implications of what we have found.