  In this paper we analyze the expectation value of the field squared and the
energy-momentum tensor associated with a massive charged scalar quantum field
with a nonzero chemical potential propagating in a high-dimensional
compactified cosmic string spacetime in thermal equilibrium at finite
temperature $T$. Moreover, we assume that the charged quantum field interacts
with a very thin magnetic flux running along the core of the idealized cosmic
string, and with a magnetic flux enclosed by the compact dimension. These
observables are expressed as the vacuum expectation values and the finite
temperature contributions coming from the particles and antiparticles
excitations. Due to the compactification, the thermal corrections can be
decomposed in a part induced by the cosmic string spacetime without
compactification, plus a contribution induced by the compactification. This
decompositions explicitly follows from the Abel-Plana formula used to proceed
the summation over the discrete quantum number associated with the
quasiperiodic condition imposed on the quantum field along the compact
dimension. The expectations values of the field squared and the energy-momentum
tensor are even periodic functions of the magnetic flux with period being the
quantum flux, and also even functions of the chemical potential. Our main
objectives in this paper concern in the investigation of the thermal
corrections only. In this way we explicitly calculate the behavior of these
observables in the limits of low and high temperature. We show that the
temperature enhance the induced densities. In addition some graphs are also
included in order to exhibit these behaviors.
