Determine whether the nonequilibrium interfacial contribution emerges microscopically

Determine whether the nonequilibrium contribution gneq emerges in a more microscopic treatment of the stochastic non-conserved order-parameter dynamics under shear flow and characterize how gneq depends on the shear rate.

Background

The paper derives an interface-velocity formula containing two contributions: a shear-modified entropic force determined by homogeneous bulk fluctuation spectra and the nonequilibrium term gneq, which originates from fluctuations in the interfacial region and is associated with time-reversal-symmetry breaking. Although the authors analyze gneq perturbatively at low shear rates and find that it scales as the square of the shear rate, they do not evaluate it analytically in the high-shear-rate regime. Their numerical simulations also do not resolve its shear-rate dependence, leaving its microscopic emergence and behavior unresolved.

References

A natural next step is therefore to investigate the present dynamics at a more microscopic level and to examine whether gneq emerges and how it depends on ˙γ.

— Velocity of an interface driven by an entropic force under shear flow  (2608.20878 - Kado et al., 21 Aug 2026) in Section V, Conclusion, p. 7

Third, it remains to understand how shear-modified entropic driving affects nucleation barriers and growth laws [58, 59, 66].

— Velocity of an interface driven by an entropic force under shear flow  (2608.20878 - Kado et al., 21 Aug 2026) in Section V, Conclusion, p. 7