12 papers
Effects of surfaces on resistor percolation
Olaf Stenull, Hans-Karl Janssen, Klaus Oerding
We study the effects of surfaces on resistor percolation at the instance of a semi-infinite geometry. Particularly we are interested in the average resistance between two connected…
Fermionic field theory for directed percolation in (1+1) dimensions
V. Brunel, K. Oerding, F. van Wijland
We formulate directed percolation in (1+1) dimensions in the language of a reaction-diffusion process with exclusion taking place in one space dimension. We map the master equation…
Fluctuation-induced first order transition in a nonequilibrium steady state
K. Oerding, F. van Wijland, J. -P. Leroy +1
We present the first example of a phase transition in a nonequilibrium steady-state that can be argued analytically to be first order. The system of interest is a two-species react…
The Resistance of Feynman Diagrams and the Percolation Backbone Dimension
H. K. Janssen, O. Stenull, K. Oerding
We present a new view of Feynman diagrams for the field theory of transport on percolation clusters. The diagrams for random resistor networks are interpreted as being resistor net…
Critical Exponents for Diluted Resistor Networks
O. Stenull, H. K. Janssen, K. Oerding
An approach by Stephen is used to investigate the critical properties of randomly diluted resistor networks near the percolation threshold by means of renormalized field theory. We…
Equation of state for directed percolation
H. K. Janssen, Ue. Kutbay, K. Oerding
Using field-theoretic renormalization group methods we calculate the equation of state for non-equilibrium systems belonging to the universality class of directed percolation (Grib…