Using field-theoretic renormalization group methods we calculate the equation of state for non-equilibrium systems belonging to the universality class of directed percolation (Gribov process) toâ€¦ (More)

We consider two stochastic processes, the Gribov process and the general epidemic process, that describe the spreading of an infectious disease. In contrast to the usually assumed case of shortrangeâ€¦ (More)

Healthy and sick individuals (A and B particles) diffuse independently with diffusion constants D A and D B. Sick individuals upon encounter infect healthy ones (at rate k), but may alsoâ€¦ (More)

We present the first example of a phase transition in a nonequi libri m steady-state that can be argued analytically to be first order. The system of intere st is a two-species reactionâ€“ diffusionâ€¦ (More)

We consider a directed percolation process at its critical point. The probability that the deviation of the global order parameter with respect to its average has not changed its sign between 0 and tâ€¦ (More)

Physical review. E, Statistical physics, plasmasâ€¦

1999

We present an alternative view of Feynman diagrams for the field theory of random resistor networks, in which the diagrams are interpreted as being resistor networks themselves. This simplifies theâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2001

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 ports located onâ€¦ (More)

Using field-theoretic renormalization group methods the long-time behaviour of the A + B â†’ âˆ… annihilation reaction with equal initial densities n A (0) = n B (0) = n 0 in a quenched random velocityâ€¦ (More)

Physical review. E, Statistical physics, plasmasâ€¦

1999

An approach by Stephen [Phys. Rev. B 17, 4444 (1978)] is used to investigate the critical properties of randomly diluted resistor networks near the percolation threshold by means of renormalizedâ€¦ (More)