English

Fluctuations in fluid invasion into disordered media

Disordered Systems and Neural Networks 2009-11-11 v1 Materials Science Statistical Mechanics

Abstract

Interfaces moving in a disordered medium exhibit stochastic velocity fluctuations obeying universal scaling relations related to the presence or absence of conservation laws. For fluid invasion of porous media, we show that the fluctuations of the velocity are governed by a geometry-dependent length scale arising from fluid conservation. This result is compared to the statistics resulting from a non-equilibrium (depinning) transition between a moving interface and a stationary, pinned one.

Keywords

Cite

@article{arxiv.cond-mat/0612294,
  title  = {Fluctuations in fluid invasion into disordered media},
  author = {Martin Rost and Lasse Laurson and Martin Dube and Mikko Alava},
  journal= {arXiv preprint arXiv:cond-mat/0612294},
  year   = {2009}
}

Comments

4 pages, 4 figures

R2 v1 2026-07-22T11:40:54.604Z