TY  - JOUR
AU  - Grassberger, Peter
TI  - Morphological transitions in supercritical generalized percolation and moving interfaces in media with frozen randomness
JO  - Physical review research
VL  - 2
IS  - 4
SN  - 2643-1564
CY  - College Park, MD
PB  - APS
M1  - FZJ-2021-04378
SP  - 043150
PY  - 2020
AB  - We consider the growth of clusters in disordered media at zero temperature, as exemplified by supercritical generalized percolation and by the T=0 random field Ising model. We show that the morphology of such clusters and of their surfaces can be of different types: They can be standard compact clusters with rough or smooth surfaces, but there exists also a completely different “spongy” phase. Clusters in the spongy phase are compact as far as the size-mass relation M∼RD is concerned (with D being the space dimension) but have an outer surface (or “hull”) whose fractal dimension is also D and which is indeed dense in the interior of the entire cluster. This behavior is found in all dimensions D≥3. Slightly supercritical clusters can be of either type in D=3, while they are always spongy in D≥4. Possible consequences for the applicability of Kardar-Parisi-Zhang (KPZ) scaling to interfaces in media with frozen pinning centers are studied in detail. In particular, we find—in contrast to KPZ—a weak-coupling phase in 2+1 dimensions.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000605400600007
DO  - DOI:10.1103/PhysRevResearch.2.043150
UR  - https://juser.fz-juelich.de/record/902579
ER  -