6533b856fe1ef96bd12b3104
RESEARCH PRODUCT
Roughness of two nonintersecting one-dimensional interfaces.
Otto PulkkinenJanne JuntunenJuha Merikoskisubject
Stochastic processMonte Carlo methodStatistical physicsFunction (mathematics)Configuration spaceSurface finishReduction (mathematics)ScalingStationary stateMathematicsdescription
The dynamics of two spatially discrete one-dimensional single-step model interfaces with a noncrossing constraint is studied in both nonsymmetric propagating and symmetric relaxing cases. We consider possible scaling scenarios and study a few special cases by using continuous-time Monte Carlo simulations. The roughness of the interfaces is observed to be nonmonotonic as a function of time, and in the stationary state it is nonmonotonic also as a function of the strength of the effective force driving the interfaces against each other. This is related on the one hand to the reduction of the available configuration space and on the other hand to the ability of the interfaces to conform to each other.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-08-31 | Physical review. E, Statistical, nonlinear, and soft matter physics |