18 papers · 1 filter
Field theory of directed percolation with long-range spreading
Hans-Karl Janssen, Olaf Stenull
It is well established that the phase transition between survival and extinction in spreading models with short-range interactions is generically associated with the directed perco…
Universal properties of population dynamics with fluctuating resources
Sayak Mukherjee, H. K. Janssen, B. Schmittmann
Starting from the well-known field theory for directed percolation, we describe an evolving population, near extinction, in an environment with its own nontrivial spatio-temporal d…
Finite-size scaling of directed percolation in the steady state
Hans-Karl Janssen, Sven Lubeck, Olaf Stenull
Recently, considerable progress has been made in understanding finite-size scaling in equilibrium systems. Here, we study finite-size scaling in non-equilibrium systems at the inst…
Strongly anisotropic roughness in surfaces driven by an oblique particle flux
B. Schmittmann, Gunnar Pruessner, Hans-Karl Janssen
Using field theoretic renormalization, an MBE-type growth process with an obliquely incident influx of atoms is examined. The projection of the beam on the substrate plane selects…
Novel surface universality classes with strong anisotropy
B. Schmittmann, Gunnar Pruessner, H. K. Janssen
Using renormalized field theory, we examine the dynamics of a growing surface, driven by an obliquely incident particle beam. Its projection on the reference (substrate) plane sele…
Finite-size scaling of directed percolation above the upper critical dimension
S. Lubeck, H. -K. Janssen
We consider analytically as well as numerically the finite-size scaling behavior in the stationary state near the non-equilibrium phase transition of directed percolation within th…