Dynamics and Kinetic Roughening of Interfaces in Two-Dimensional Forced Wetting

Details Dynamics and Kinetic Roughening of Interfaces in Two-Dimensional Forced Wetting Dynamics and Kinetic Roughening of Interfaces in Two-Dimensional Forced Wetting

2005-04-27

arxiv.org/abs/cond-mat/0504721v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 4 figures, submitted to Eur.Phys.J.B

Scientific paper

10.1140/epjb/e2005-00288-x

We consider the dynamics and kinetic roughening of wetting fronts in the case of forced wetting driven by a constant mass flux into a 2D disordered medium. We employ a coarse-grained phase field model with local conservation of density, which has been developed earlier for spontaneous imbibition driven by a capillary forces. The forced flow creates interfaces that propagate at a constant average velocity. We first derive a linearized equation of motion for the interface fluctuations using projection methods. From this we extract a time-independent crossover length $\xi_\times$, which separates two regimes of dissipative behavior and governs the kinetic roughening of the interfaces by giving an upper cutoff for the extent of the fluctuations. By numerically integrating the phase field model, we find that the interfaces are superrough with a roughness exponent of $\chi = 1.35 \pm 0.05$, a growth exponent of $\beta = 0.50 \pm 0.02$, and $\xi_\times \sim v^{-1/2}$ as a function of the velocity. These results are in good agreement with recent experiments on Hele-Shaw cells. We also make a direct numerical comparison between the solutions of the full phase field model and the corresponding linearized interface equation. Good agreement is found in spatial correlations, while the temporal correlations in the two models are somewhat different.

Affiliated with

Also associated with

No associations

Rating

Dynamics and Kinetic Roughening of Interfaces in Two-Dimensional Forced Wetting does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamics and Kinetic Roughening of Interfaces in Two-Dimensional Forced Wetting, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics and Kinetic Roughening of Interfaces in Two-Dimensional Forced Wetting will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-612727