Abstract
We study the microscopic structure and the stationary propagation velocity of
$(1+1)$-dimensional solid-on-solid interfaces in an Ising lattice-gas
model, which are driven far from
equilibrium by an applied force, such as a magnetic field or a
difference in (electro)chemical potential. We use an analytic
nonlinear-response approximation together with
kinetic Monte Carlo simulations. Since the detailed microscopic mechanism of the interface motion is often not known, one standard way to gain insight into the model is by constructing a stochastic model that mimics its essential features. Structures arising from different dynamics that obey detailed balance and respect the same conservation laws exhibits universal asymptotic large-scale features. However, recent studies show that there are important differences between the microstructure of field-driven interfaces obtained with different dynamics and that these differences influence important interface properties such as mobility and catalytic activity. In this work we compare the behavior of interfaces that evolve under dynamics for which the effects of the applied force and the interaction
energies do not factorize, the so called hard dynamics, and under dynamics for which such factorization is possible, soft dynamics.
We found that for hard dynamics the local interface width increases dramatically
with the applied force, in contrast, interfaces generated with soft dynamics are weakly dependent with the applied force. Results are also obtained for the
force-dependence and anisotropy of the interface velocity, which also
show differences in good agreement with the theoretical expectations for
the differences between soft and hard dynamics. Our results show that
different stochastic interface dynamics
that all obey detailed balance and the same conservation laws
nevertheless can lead to radically different interface
responses to an applied force.
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