166 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- ETH ZurichCH110 papers
- Universidade Federal do CearáBR46 papers
- Istituto per le Applicazioni del Calcolo Mauro PiconeIT20 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Centro de Física Teórica e Computacional10 papers
- University of LisbonPT8 papers
- University of StuttgartDE7 papers
- Harvard UniversityUS6 papers
- Physique et Mécanique des Milieux HétérogènesFR6 papers
- Cornell UniversityUS5 papers
- Institute for Biomedical EngineeringCH5 papers
- University of ZurichCH5 papers
15 papers · 1 filter
Sequential disruption of the shortest path in critical percolation
Oliver Gschwend, Hans J. Herrmann
We investigate the effect of sequentiallydisrupting the shortest path of percolation clusters at criticality by comparing it with the shortest alternative path. We measure the diff…
Perturbing the Shortest Path on a Critical Directed Square Lattice
Fabian Hillebrand, Mirko Luković, Hans J. Herrmann
We investigate the behaviour of the shortest path on a directed two-dimensional square lattice for bond percolation at the critical probability . We observe that flipping an…
Congestion fronts of diffusing particles
Bastian Burger, Hans J Herrmann
We study two new models of two particle species invading a surface from opposite sides. Collisions of particles of different species lead to the formation of congestion fronts. One…
From dynamical scaling to local scale-invariance: a tutorial
Malte Henkel
Dynamical scaling arises naturally in various many-body systems far from equilibrium. After a short historical overview, the elements of possible extensions of dynamical scaling to…
Non-local meta-conformal invariance in diffusion-limited erosion
Malte Henkel
The non-stationary relaxation and physical ageing in the diffusion-limited erosion process ({\sc dle}) is studied through the exact solution of its Langevin equation, in spatia…
Hybrid Percolation Transition in Cluster Merging Processes: Continuously Varying Exponents
Y. S. Cho, J. S. Lee, H. J. Herrmann +1
Consider growing a network, in which every new connection is made between two disconnected nodes. At least one node is chosen randomly from a subset consisting of fraction of t…
Retention capacity of correlated surfaces
K. J. Schrenk, N. A. M. Araujo, R. M. Ziff +1
We extend the water retention model [C. L. Knecht et al., Phys. Rev. Lett. 108, 045703 (2012)] to correlated random surfaces. We find that the retention capacity of discrete random…
Shortest path and Schramm-Loewner Evolution
N. Posé, K. J. Schrenk, N. A. M. Araújo +1
We numerically show that the statistical properties of the shortest path on critical percolation clusters are consistent with the ones predicted for Schramm-Loewner evolution (SLE)…
Avoiding a Spanning Cluster in Percolation Models
Y. S. Cho, S. Hwang, H. J. Herrmann +1
When dynamics in a system proceeds under suppressive external bias, the system can undergo an abrupt phase transition, as it occurs for example in the epidemic spreading. Recently,…
Percolation with long-range correlated disorder
K. J. Schrenk, N. Pose, J. J. Kranz +3
Long-range power-law correlated percolation is investigated using Monte Carlo simulations. We obtain several static and dynamic critical exponents as function of the Hurst exponent…
Gaussian Quadrature and Lattice Discretization of the Fermi-Dirac Distribution for Graphene
D. Oettinger, M. Mendoza, H. J. Herrmann
We construct a lattice kinetic scheme to study electronic flow in graphene. For this purpose, we first derive a basis of orthogonal polynomials, using as weight function the ultrar…
Geometrical and transport properties of sequential adsorption clusters
E. B. Araújo, A. A. Moreira, H. J. Herrmann +2
We investigate transport properties of percolating clusters generated by irreversible cooperative sequential adsorption (CSA) on square lattices with Arrhenius rates given by ki= q…
Ultrarelativistic Transport Coefficients in Two Dimensions
M. Mendoza, I. Karlin, S. Succi +1
We compute the shear and bulk viscosities, as well as the thermal conductivity of an ultrarelativistic fluid obeying the relativistic Boltzmann equation in 2+1 space-time dimension…
Scaling Relations for Watersheds
E. Fehr, D. Kadau, N. A. M. Araújo +2
We study the morphology of watersheds in two and three dimensional systems subjected to different degrees of spatial correlations. The response of these objects to small, local per…
Gaussian model of explosive percolation in three and higher dimensions
K. J. Schrenk, N. A. M. Araújo, H. J. Herrmann
The Gaussian model of discontinuous percolation, recently introduced by Araújo and Herrmann [Phys. Rev. Lett., 105, 035701 (2010)], is numerically investigated in three dimensions,…