Thermal effects in hot and dilute homogeneous asymmetric nuclear matter

We present a comprehensive analysis of hot and dilute isospin-asymmetric nuclear matter employing the temperature-dependent effective-relativistic mean-field theory (E-RMF). The E-RMF is applied to study effect $\delta$ $\omega-\rho$ meson cross-coupling on thermal properties asymmetric using two recently developed IOPB-I G3 parameter sets. These sets are known reproduce in agreement with various experimental observational constraints. consider be homogeneous equation state (EoS) for densities, temperature asymmetry which relevant astrophysical simulations such as supernovae explosion. investigated reference density-dependent free symmetry energy its higher-order derivatives well parabolic approximation. larger value $\lambda_\omega$ addition coupling smoothen energy. Thermal effects variables examined at fixed isospin by separating their T=0 finite-T expressions. mainly governed effective mass estimating contribution. isothermal isentropic incompressibility discussed harmony available microscopic calculations. liquid-gas phase transition conserved charges context different slope comparable set. spinodal instability, binodal curve critical found influenced $L_{sym}$.