- Author
-
Martys, N. S.
|
Robbins, M. O.
|
Cieplak, M.
- Title
- Scaling Relations for Interface Motion Through Disordered Media: Application to Two-Dimensional Fluid Invasion.
- Coporate
- Johns Hopkins Univ., Laurel, MD
Polish Academy of Sciences, Warsaw, Poland
- Journal
-
Physical Review B,
Vol. 44,
No. 22,
12/294-306,
December 1, 1991
- Sponsor
- National Science Foundation, Washington, DC
National Institute of Standards and Technology, Gaithersburg, MD
American Chemical Society, Washington, DC
- Contract
- NSF-GRANT-DMR-8553271
- Keywords
-
scaling
|
scaling laws
|
interface motion
|
fluid invasion
- Identifiers
- application to 2D fluid invasion; finite-size scaling ansatz and scaling relations; finite-size scaling results for 2D fluid invasion
- Abstract
- We consider the critical transitions that occur as the force driving an interface through a random medium is increased. The total displacement of the interface, and the incremental advance after a small increase in force, diverage as the force approaches a critical depinning threshold. At the critical force there is a power-law distribution of growth sizes. General scaling relations are derived between the critical exponents associated with such transitions. These scaling relations are tested on a model system: fluid invasion of a two-dimensional porous medium. Critical exponents are determined from simulations using finite-size-scaling techniques. Two universality classes are identified: percolation and depinning. In both cases the calculated exponents obey the scaling relations.