  In the current work, we present the influence of finite volume and magnetic
field on the thermodynamic properties of isospin asymmetric quark matter using
the Polyakov loop extended chiral SU(3) quark mean field (PCQMF) model at
finite chemical potential and temperature. Within the PCQMF model, we use the
scalar and vector field values in mean-field approximation to obtain the
thermodynamic properties: pressure density, entropy density and energy density.
The susceptibilities of conserved charges for strongly interacting matter for
different system sizes as well as for different values of the magnetic field
have been studied. A sizable shift in phase boundary towards the higher values
of quark chemical potential ($\mu_q$) and temperature (T) has been observed for
decreasing values of system volume as well as an opposite shift towards lower
temperature and quark chemical potential for increasing magnetic field. We
observe an enhancement in fluctuations of conserved charges in the regime of
the transition temperature. These studies may have a significant role in
understanding the thermodynamic observables extracted from heavy-ion collisions
data.
