100 citations · 192 across the 7 of their papers we have counts for
7 papers
Imaginary noise and parity conservation in the reaction A+A <--> 0
O. Deloubrière, L. Frachebourg, H. J. Hilhorst +1
The master equation for the reversible reaction A+A <--> 0 is considered in Poisson representation, where it is equivalent to a Langevin equation with imaginary noise for a complex…
Pair Contact Process with Diffusion: Failure of Master Equation Field Theory
Hans-Karl Janssen, Frederic van Wijland, Olivier Deloubriere +1
We demonstrate that the `microscopic' field theory representation, directly derived from the corresponding master equation, fails to adequately capture the continuous nonequilibriu…
Segregation in diffusion-limited multispecies pair annihilation
H. J. Hilhorst, O. Deloubriere, M. J. Washenberger +1
The kinetics of the q species pair annihilation reaction (A_i + A_j -> 0 for 1 <= i < j <= q) in d dimensions is studied by means of analytical considerations and Monte Carlo simul…
Pair contact process with diffusion: field theory
Frederic van Wijland, Uwe C. Tauber, Olivier Deloubriere
This paper, which was concerned with a field-theoretic analysis of the PCPD by means of the renormalization group, has been withdrawn by the authors. We had found a nontrivial RG f…
Non Perturbative Renormalization Group study of reaction-diffusion processes and directed percolation
Léonie Canet, Bertrand Delamotte, Olivier Deloubrière +1
We investigate non-equilibrium critical phenomena using a nonperturbative renormalization group method. Reaction-diffusion processes are described by a scale dependent effective ac…
Multi-species pair annihilation reactions
Olivier Deloubriere, Henk Hilhorst, Uwe C. Tauber
We consider diffusion-limited reactions A_i + A_j -> 0 (1 <= i < j <= q) in d space dimensions. For q > 2 and d >= 2 we argue that the asymptotic density decay for such mutual anni…