Articles dans des revues à comité de lecture
|Cross-over between diffusion-limited and reaction-limited regimes in the coagulation-diffusion process|
|Shapoval D., Dudka M., Durang X., Henkel M.|
|ArXiv : arxiv:1801.09216 [PDF]|
The cross-over between diffusion-limited and reaction-limited cooperative behaviour in reaction-diffusion systems is studied through the change of the scaling behaviour of the coagulation-diffusion process. This model is exactly solvable through the empty-interval method, which can be extended from the chain to the Bethe lattice, in the ben-Avraham-Glasser approximation. On the Bethe lattice, an analysis of a stochastic reset to a configuration of uncorrelated particles reveals in the stationary state logarithmic corrections to scaling, as expected for systems at the upper critical dimension. Analogous results hold true for the time-integrated particle-density. The cross-over scaling functions and the associated effective exponents are derived.