  Based on the vortex dynamics with the Magnus force and a two-fluid model we
have derived a set of explicit expressions between the Nernst and Seebeck
coefficients, and the Hall and longitudinal resistivities in the linear
response regime of the mixed state of superconductors. Effects of vortex
pinning are included. The expressions are found to be in agreement with
available experimental data. Present results are valid for large as well as for
small Hall angle samples, and if Hall angle terms are dropped we recover
previous theoretical results. On the other hand, the similar expressions based
on an alternative vortex dynamics with various normal current drag forces on
vortices are in qualitative disagreement with experiments, which implies the
absence of those normal current drag forces.
