Publications

You can also find my articles on my Google Scholar profile.

Preprints


Polydispersity in Percolation

Fabian Coupette and Tanja Schilling (2024). arXiv:2407.20193. PDF

We explain widely observed polydispersity patterns in percolation problems using branching processes.


Journal Articles


Exactly solvable percolation problems

Fabian Coupette and Tanja Schilling (2022). Physical Review E 105.4, 044108. PDF
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We propose a simple percolation criterion for arbitrary percolation problems that provides the exact percolation thresholds for a large number of exactly solved percolation problems as well as specific continuum percolation problems.


Percolation of rigid fractal carbon black aggregates

Fabian Coupette, Long Zhang, Björn Kuttich, Andrei Chumakov, Stephan V Roth, Lola González-García, Tobias Kraus, and Tanja Schilling (2021). The Journal of Chemical Physics 155.12, 124902. PDF

We study the impact of fractal microstructure of carbon black on the formation of a conductive filler network in elastomer composites.


Nearest-neighbor connectedness theory: A general approach to continuum percolation

Fabian Coupette, René de Bruijn, Petrus Bult, Shari Finner, Mark A Miller, Paul van der Schoot, and Tanja Schilling (2021). Physical Review E 103.4, 042115. PDF

We introduce a method to estimate continuum percolation thresholds and illustrate its usefulness by investigating geometric percolation of noninteracting line segments and disks in two spatial dimensions.


Screening lengths in ionic fluids

Fabian Coupette, Alpha A Lee, and Andreas Härtel (2018). Physical Review Letters 121.7, 075501. PDF

We examine the effect of space-filling solvent on the decay of electrostatic correlations in simple electrolytes.


Theses