168 citations · 841 across the 39 of their papers we have counts for
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Dimensions, Maximal Growth Sites and Optimization in the Dielectric Breakdown Model
Joachim Mathiesen, Mogens H. Jensen, Jan Oystein Haavig Bakke
We study the growth of fractal clusters in the Dielectric Breakdown Model (DBM) by means of iterated conformal mappings. In particular we investigate the fractal dimension and the…
Scale Free Cluster Distributions from Conserving Merging-Fragmentation Processes
Jesper Ferkinghoff-Borg, Mogens H. Jensen, Joachim Mathiesen +1
We propose a dynamical scheme for the combined processes of fragmentation and merging as a model system for cluster dynamics in nature and society displaying scale invariant proper…
Diffusion, Fragmentation and Coagulation Processes: Analytical and Numerical Results
Poul Olesen, Jesper Ferkinghoff-Borg, Mogens H. Jensen +1
We formulate dynamical rate equations for physical processes driven by a combination of diffusive growth, size fragmentation and fragment coagulation. Initially, we consider proces…
Competition between Diffusion and Fragmentation: An Important Evolutionary Process of Nature
Jesper Ferkinghoff-Borg, Mogens H. Jensen, Joachim Mathiesen +2
We investigate systems of nature where the common physical processes diffusion and fragmentation compete. We derive a rate equation for the size distribution of fragments. The equa…
Compact phases of polymers with hydrogen bonding
Antonio Trovato, Jesper Ferkinghoff-Borg, Mogens H. Jensen
We propose an off-lattice model for a self-avoiding homopolymer chain with two different competing attractive interactions, mimicking the hydrophobic effect and the hydrogen bond f…
Directed percolation with an absorbing boundary
K. B. Lauritsen, K. Sneppen, M. Markosova +1
We consider directed percolation with an absorbing boundary in 1+1 and 2+1 dimensions. The distribution of cluster lifetimes and sizes depend on the boundary. The new scaling expon…