  We investigate heat transport via a charged flexible chain in the presence of
magnetic fields. We focus on the Nernst-like effect, where the average
positions of particles deviate in the perpendicular direction to the heat flow.
This phenomenon is induced by the nonlinear dynamics as well as nonequilibrium
state. We develop a linear response formalism to derive a thermodynamic force
which induces the Nernst-like effect, and show that the phenomenon is
quantitatively explained. We also discuss the inverse effect, where an external
ac-driving force induces finite net heat current in the homogeneous system
attached to heat baths with the same temperature.
