  The phase diagram of quantum chromodynamics (QCD) and its associated
thermodynamic properties of quark gluon plasma (QGP) are studied in the
presence of time dependent magnetic field. The study plays a pivotal role in
the field of cosmology, astrophysics, and heavy ion collisions. In order to
explore the structure of quark gluon plasma to deal with the dynamics of quarks
and gluons, we investigate the equation of state (EoS) not only in the
environment of static magnetic field but also in the presence of time-varying
magnetic fields. So, for determining the equation of state of QGP at non zero
magnetic fields, we revisited our earlier model where the effect of time
varying magnetic field was not taken into consideration. Using the
phenomenological model, some appealing features are noticed depending upon the
three different scales; effective mass of quark, temperature, and time
independent as well as time-dependent magnetic field. Earlier the effective
mass of quark was incorporated in our calculations and in the current work, it
is modified for static and time-varying magnetic fields. Thermodynamic
observables including pressure, energy density, entropy, etc. are calculated
for a wide range of temperature and time-dependent as well as time-independent
magnetic fields. Finally, we claim that the EoS are highly affected in the
presence of a magnetic field. Our results are notable compared to other
approaches and found to be advantageous for the measurement of QGP equation of
state. These crucial findings with and without time-varying magnetic field
could have phenomenological implications in various sectors of high energy
physics.
