  In this work we have studied the effects of an external strong magnetic field
on the thermodynamic and magnetic properties of a hot QCD matter and then
explored these effects on the subsequent hydrodynamic expansion of the said
matter once produced in the ultrarelativistic heavy ion collisions. For that
purpose, we have computed the quark and gluon self-energies up to one loop in
the strong magnetic field, using the HTL approximation with two hard scales -
temperature and magnetic field, which in turn compute the effective propagators
for quarks and gluons, respectively. Hence the quark and gluon contributions to
the free energy are obtained from the respective propagators and finally derive
the equation of state (EOS) by calculating the pressure and energy density. We
have found that the speed of sound is enhanced due to the presence of strong
magnetic field and this effect will be later exploited in the hydrodynamics.
Thereafter the magnetic properties are studied from the free energy of the
matter, where the magnetization is found to increase linearly with the magnetic
field, thus hints the paramagnetic behavior. The temperature dependence of the
magnetization is also studied, where the magnetization is found to increase
slowly with the temperature. Finally, to see how a strong magnetic field could
affect the hydrodynamic evolution, we have revisited the Bjorken
boost-invariant picture with our paramagnetic EOS as an input in the equation
of motion for the energy-momentum conservation. We have noticed that the energy
density evolves faster than in the absence of strong magnetic field, i.e.
cooling becomes faster, which could have implications on the heavy-ion
phenomenology. As mentioned earlier, this observation can be understood by the
enhancement of the speed of sound.
