  We study the chiral phase transition inside a rotating cylinder within the
framework of the Namb--Jona-Lasinio model. A spectral boundary condition is
imposed to avoid faster than light. We investigate how the geometry of the
cylinder and rotation influence the chiral phase transition at finite
temperature and chemical potential. The inhomogeneous effects caused by the
finite size and rotation are also taken into account. It is found that finite
size will reduce the chiral transition temperature and raises the chiral
transition chemical potential, while the rotation reduces both the chiral
transition temperature and chemical potential. In addition, we discuss the
implications of our results in heavy-ion collisions and equation of states of
neutron star.
