Liquid Conservation and Non-local Interface Dynamics in Imbibition
统计力学
2009-10-31 v1 无序系统与神经网络
摘要
The propagation and roughening of a liquid-gas interface moving through a disordered medium under the influence of capillary forces is considered. The system is described by a phase-field model with conserved dynamics and spatial disorder is introduced through a quenched random field. Liquid conservation leads to slowing down of the average interface position H and imposes an intrinsic correlation length \xi_\times \sim H^{1/2} on the spatial fluctuations of the interface. The interface is statistically self affine in space, with global roughness exponent \chi \simeq 1.25 and exhibits anomalous scaling.
引用
@article{arxiv.cond-mat/9907394,
title = {Liquid Conservation and Non-local Interface Dynamics in Imbibition},
author = {M. Dube and M. Rost and K. Elder and M. Alava and S. Majaniemi and T. Ala-Nissila},
journal= {arXiv preprint arXiv:cond-mat/9907394},
year = {2009}
}
备注
4 pages, 3 figs, to appear in PRL