Abstract
A new kind of percolation problem is described which differs from ordinary percolation theory in that it automatically finds the critical points of the system. The model is motivated by the problem of one fluid displacing another from a porous medium under the action of capillary forces, but in principle it may be applied to any kind of invasion process which proceeds along a path at least resistance. The name invasion percolation is proposed for this new process. Similarities to, and differences from, ordinary percolation theory are discussed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3365-3376 |
| Number of pages | 12 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 16 |
| Issue number | 14 |
| DOIs | |
| State | Published - Oct 1 1983 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
Cite this
Invasion percolation : A new form of percolation theory. / Wilkinson, D.; Willemsen, Jorge.
In: Journal of Physics A: Mathematical and General, Vol. 16, No. 14, 01.10.1983, p. 3365-3376.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Invasion percolation
T2 - A new form of percolation theory
AU - Wilkinson, D.
AU - Willemsen, Jorge
PY - 1983/10/1
Y1 - 1983/10/1
N2 - A new kind of percolation problem is described which differs from ordinary percolation theory in that it automatically finds the critical points of the system. The model is motivated by the problem of one fluid displacing another from a porous medium under the action of capillary forces, but in principle it may be applied to any kind of invasion process which proceeds along a path at least resistance. The name invasion percolation is proposed for this new process. Similarities to, and differences from, ordinary percolation theory are discussed.
AB - A new kind of percolation problem is described which differs from ordinary percolation theory in that it automatically finds the critical points of the system. The model is motivated by the problem of one fluid displacing another from a porous medium under the action of capillary forces, but in principle it may be applied to any kind of invasion process which proceeds along a path at least resistance. The name invasion percolation is proposed for this new process. Similarities to, and differences from, ordinary percolation theory are discussed.
UR - http://www.scopus.com/inward/record.url?scp=34547555935&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34547555935&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/16/14/028
DO - 10.1088/0305-4470/16/14/028
M3 - Article
AN - SCOPUS:34547555935
VL - 16
SP - 3365
EP - 3376
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 14
ER -