Asymmetric kinks bridging two adjacent potential valleys of equal depth but
different curvature are unstable against phonon modes. When coupled to a h
eat bath, a kink-bearing string tends to cross over into the shallower vall
ey; kinks are thus predicted to drift in the appropriate direction with vel
ocity proportional to the temperature, in close agreement with numerical si
mulation. When contrasted by a mechanical bias, these entropic forces give
rise to a rich phenomenology that includes configurational phase transition
s, double-kink dissociation. and noise-directed signal transmission.