  Finite size consideration of matter significantly affects transport
coefficients like shear viscosity, bulk viscosity, electrical conductivity,
which we have investigated here in the framework of the
Polyakov-Nambu-Jona-Lasinio model. Owing to the basic quantum mechanics, a
non-zero lower momentum cut-off is implemented in momentum integrations, used
in the expressions of constituent quark masses and transport coefficients. When
the system size decreases, the values of these trans- port coefficients are
enhanced in low temperature range. At high temperature domain, shear viscos-
ity and electrical conductivity become independent of system sizes. Whereas,
bulk viscosity, which is associated with scale violating quantities of the
system, faces some non-trivial size dependence in this regime. In the
phenomenological direction, our microscopic estimations can also be linked with
the macroscopic outcome, based on dissipative hydrodynamical simulation.
