Journal Article

FZJ-2021-04378

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Morphological transitions in supercritical generalized percolation and moving interfaces in media with frozen randomness

Grassberger, P. (Corresponding author)FZJ*

2020
APS College Park, MD

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Please use a persistent id in citations: http://hdl.handle.net/2128/29070  doi:10.1103/PhysRevResearch.2.043150

Abstract: 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.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2021

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