  The temperature dependence of Coulomb blockade peaks of a one dimensional
quantum dot is calculated. The Coulomb interaction is treated microscopically
using the Luttinger liquid model. The electron interaction is assumed to be
non-homogeneous with a maximum strength near the quantum dot. The conductance
peaks show non-analytic power law behaviour induced by the interaction. It is
shown that there is a crossover in the power law which is related to the
inhomogeneity of the interaction.
