Scaling of the interface roughness in Fe-Cr superlattices: self-affine versus non-self-affine

Dynamics of roughening and growth kinetics of CdS–polyaniline thin films synthesized by the Langmuir–Blodgett technique

Layer variation dynamic scaling properties of CdS–polyaniline Langmuir–Blodgett thin films.

Asymptotic dynamic scaling behavior of the (1+1)-dimensional Wolf-Villain model

Extensive kinetic Monte Carlo simulations are presented for the Wolf-Villain model in (1+1) dimensions. Asymptotic dynamic scaling is found for lattice sizes L≥2048. The exponents obtained from our simulations, α=0.50±0.02 and β=0.25±0.02, are in excellent agreement with the exact values α=1/2 and β=1/4 for the one-dimensional Edwards-Wilkinson equation. Our findings explain the widespread discrepancies of previous reports for exponents of the Wolf-Villain model in (1+1) dimensions, and the results are also consistent with the theoretical predictions of López et al. [J. M. López, M. Castro, and R. Gallego, Phys. Rev. Lett. 94, 166103 (2005)].

Localization in disordered media, anomalous roughening, and coarsening dynamics of faceted surfaces

We study a surface growth model related to the Kardar-Parisi-Zhang equation for nonequilibrium kinetic roughening, but where the thermal noise is replaced by a static columnar disorder eta(x) . This model is one of the many representations of the problem of particle diffusion in trapping or amplifying disordered media. We find that probability localization in the latter translates into facet formation in the equivalent surface growth problem. Coarsening of the pattern can therefore be identified with the diffusion of the localization center. The emergent faceted structure gives rise to nontrivial scaling properties, including anomalous surface roughening in excellent agreement with an existing conjecture for kinetic roughening of faceted surfaces. In a wider context, our study sheds light onto the scaling properties in other systems displaying this kind of patterned surface.

Anomalous scaling for thick electrodeposited films

Anomalous surface roughness scaling, where both the local and the large-scale roughness show a power-law dependence on the film thickness, has been widely observed. Here we show that the value of the local roughness exponent in the early stages of Cu electrodeposition depends on the deposition potential. However, initial anomalous scaling can lead to two qualitatively different types of behavior for large film thickness (t>/ or =4 microm). For Cu films electrodeposited with forced convection at high potential and current density, the anomalous scaling is transient: the local roughness saturates for the thickest films studied. When Cu films are electrodeposited at similar potential and current density but with reduced convection, no saturation of the local roughness is observed. Instead the film forms overhangs such that the surface height becomes a multivalued function of the lateral position.

Scaling of local slopes, conservation laws, and anomalous roughening in surface growth

We argue that symmetries and conservation laws greatly restrict the form of the terms entering the long wavelength description of growth models exhibiting anomalous roughening. This is exploited to show by dynamic renormalization group arguments that intrinsic anomalous roughening cannot occur in local growth models. However, some conserved dynamics may display superroughening if a given type of term is present.