Statics and Dynamics of an Interface in a Temperature Gradient
D. Boyanovsky, D. Jasnow, J. Llambias, F. Takakura

TL;DR
This paper investigates the behavior and dynamics of a two-phase interface subjected to a temperature gradient, analyzing boundary conditions, free energy structure, and interface motion equations.
Contribution
It provides a detailed analysis of interface response and dynamics in temperature gradients, including boundary conditions and effective free energy formulation.
Findings
Derived the structure of the effective free energy.
Analyzed the Langevin equation for interface motion.
Compared different boundary conditions on the order parameter.
Abstract
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.
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