Time Development of Relativistic Two-Temperature Plasma with Electron-Positron Pair Production

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We investigate thermal and dynamical behavior of an optically thin two-temprature accretion plasma in a simplified one-zone model. We compute time development of a plasma which is located at a certain radius suffering from a constant frictional heating and bremsstrahlung cooling. When pair production is not taken into account, we find that equilibrium states are possible only for a certain range of surface density for a given heating rate. For a small surface density the proton temperature becomes so high that the plasma escapes from the gravitational potential of the central black hole to form an outflow. For a large surface density, the plasma cannot bear gravity force and collapses towards a low temperature and high density state. When the pair production is taken into account, pair concentration increases with heating rate, maintaining the balance between pair production and pair annihilation even for high heating rates. This result is in contrast to that of Kusunose and Takahara(1988), where no pair equilibrium states were found for high accretion rates. We discuss possible reasons for this difference and suggest that pair concentration in two-temperature accretion plasma depends sensitively on detailed plasma profile.

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