35 citations · 158 across the 7 of their papers we have counts for
7 papers
Conductivity of continuum percolating systems
Olaf Stenull, Hans-Karl Janssen
We study the conductivity of a class of disordered continuum systems represented by the Swiss-cheese model, where the conducting medium is the space between randomly placed spheric…
Nonlinear random resistor diode networks and fractal dimensions of directed percolation clusters
Olaf Stenull, Hans-Karl Janssen
We study nonlinear random resistor diode networks at the transition from the non percolating to the directed percolating phase. The resistor-like bonds and the diode-like bonds und…
Transport on Directed Percolation Clusters
Hans-Karl Janssen, Olaf Stenull
We study random lattice networks consisting of resistor like and diode like bonds. For investigating the transport properties of these random resistor diode networks we introduce a…
Master Operators Govern Multifractality in Percolation
O. Stenull, H. K. Janssen
Using renormalization group methods we study multifractality in percolation at the instance of noisy random resistor networks. We introduce the concept of master operators. The mul…
Diluted Networks of Nonlinear Resistors and Fractal Dimensions of Percolation Clusters
H. K. Janssen, O. Stenull
We study random networks of nonlinear resistors, which obey a generalized Ohm's law, . Our renormalized field theory, which thrives on an interpretation of the involved…
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…