Statics and Dynamics of an Interface in a Temperature Gradient
  The response and nonconserved dynamics of a two-phase interface in the presence of a temperature gradient oriented normally to the interface are considered. Two types of boundary conditions on the order parameter are considered, and the structure of the effective free energy and the Langevin equation for the collective coordinate specifying the interface position are analyzed. 
D. Boyanovsky, D. Jasnow, J. Llambias and F. Takakura