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Articles by Tanja Schilling
Generalised Langevin Dynamics: Significance and Limitations of the Projection Operator Formalism
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Exactly solvable percolation problems
Abstract We propose a simple percolation criterion for arbitrary percolation problems. The basic idea is to decompose the system of interest into a hierarchy of neighborhoods, such that the percolation problem can be expressed as a branching process.
Generating functions for message passing on weighted networks: Directed bond percolation and susceptible, infected, recovered epidemics
Abstract We study the SIR (susceptible, infected, removed/recovered) model on directed graphs with heterogeneous transmission probabilities within the message-passing approximation. We characterize the percolation transition, predict cluster size distributions, and suggest vaccination strategies. All predictions are compared to numerical simulations on real networks. The percolation threshold that we predict is a rigorous lower bound to the threshold on real networks.
Structure diagram of binary Lennard-Jones clusters
We analyze the structure diagram for binary clusters of Lennard-Jones particles by means of a global optimization approach for a large range of cluster sizes, compositions, and interaction energies and present a publicly accessible database of 180 000 minimal energy structures (http://softmattertheory.lu/clusters.html). We identify a variety of structures such as core-shell clusters, Janus clusters, and clusters in which the minority species is located at the vertices of icosahedra.
The early crystal nucleation process in hard spheres shows synchronised ordering and densification
We investigate the early part of the crystal nucleation process in the hard sphere fluid using data produced by computer simulation.
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