Steady velocity of entropic driven interface under shear flow

In the stochastic framework of Model A, an interface can be driven by thermal noise in the presence of an asymmetric free energy density. Under equilibrium conditions, the velocity of this "entropic driven interface" is determined by the difference in the bulk effective potential between the two phases.

 This study extends the analysis to a non-equilibrium scenario by investigating the steady velocity of a planar entropic driven interface parallel to a shear flow. We show that the velocity is determined by two distinct contributions: (i) the shear-modified effective potential difference and (ii) a novel driving force originating from the breaking of time-reversal symmetry. To elucidate the dependence of the velocity on the shear rate, we perform both theoretical and numerical calculations, focusing on the low and high shear rate regimes.