6 papers
Surface Critical Behavior in Systems with Non-Equilibrium Phase Transitions
Martin Howard, Per Frojdh, Kent Baekgaard Lauritsen
We study the surface critical behavior of branching-annihilating random walks with an even number of offspring (BARW) and directed percolation (DP) using a variety of theoretical t…
Surface Critical Behavior in Systems with Absorbing States
K. B. Lauritsen, P. Frojdh, M. Howard
We present a general scaling theory for the surface critical behavior of non-equilibrium systems with phase transitions into absorbing states. The theory allows for two independent…
Onset of criticality and transport in a driven diffusive system
M. Markosova, M. H. Jensen, K. B. Lauritsen +1
We study transport properties in a slowly driven diffusive system where the transport is externally controlled by a parameter . Three types of behavior are found: For the…
Noisy Kuramoto-Sivashinsky equation for an erosion model
Kent Baekgaard Lauritsen, Rodolfo Cuerno, Hernan A. Makse
We derive the continuum equation for a discrete model for ion sputtering. We follow an approach based on the master equation, and discuss how it can be truncated to a Fokker-Planck…
Renormalization Group Analysis of a Noisy Kuramoto-Sivashinsky Equation
Rodolfo Cuerno, Kent Baekgaard Lauritsen
We have analyzed the Kuramoto-Sivashinsky equation with a stochastic noise term through a dynamic renormalization group calculation. For a system in which the lattice spacing is sm…
Performance of Random Lattice Algorithms
K. B. Lauritsen, H. Puhl, H. -J. Tillemans
We have implemented different algorithms for generating Poissonian and vectorizable random lattices. The random lattices fulfil the Voronoi/Delaunay construction. We measure the pe…