Thermal analysis of charged Symmergent black hole with logarithmic correction

We examine the thermodynamic properties of the symmergent black hole in this work. For boson masses, we set the symmergent parameter to alpha = 0.9, and for fermion masses, using alpha = 1.1. Gibbs free energy, thermal fluctuations, and energy emission have been examined in our investigation. To evaluate the local and global thermodynamic stability, we analyze a number of characteristics including the Hawking temperature, geometric mass, and heat capacity. The first law of thermodynamics is used to calculate the black hole's temperature and to assess the rate of energy emission. We investigate the phase transition behavior of symmergent black holes by calculating the Gibbs free energy, looking in particular at the swallowing tails. Additionally, we calculate the corrected entropy to examine how thermal variations affect both tiny and large black holes. Notably, we compare the findings obtained for large and small black holes in order to assess the influence of correction terms on the thermodynamic system.