Effect of the Nuclear Equation of State and Relativistic Turbulence on Core-Collapse Supernovae

The nuclear Equation of State (EOS) is an important component in the evolution and subsequent explosion of core collapse supernovae. We make a survey of various equations of state in the literature and analyze their effect on the explosion. To simulate the supernova, we use the general relativistic spherically-symmetric code GR1D, modified to take into account the effects of three-dimensional turbulence by using a new mixing length theory approach (STIR). We show that the viability of the explosion is quite EOS dependent and that the strength of explosions correlates best with the central entropy at bounce and the onset of turbulent mixing in the proto-neutron star. In particular, we find that EOSs calculated using the liquid drop model and the ones calculated using a relativistic mean field approach have a different influence on the explosion and on the proto-neutron star convection.