Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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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.



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