Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Articles dans des revues à comité de lecture

Exact two-time correlation and response functions in the one-dimensional coagulation-diffusion process by the empty-interval method
Durang X., Fortin J-Y., Henkel M.
Journal of Statistical Mechanics: Theory and Experiment (2011) P02030
DOI : 10.1088/1742-5468/2011/02/P02030
ArXiv : arxiv:1012.4724 [PDF]

The one-dimensional coagulation-diffusion process describes the strongly fluctuating dynamics of particles, freely hopping between the nearest-neighbour sites of a chain such that one of them disappears with probability 1 if two particles meet. The exact two-time correlation and response function in the one-dimensional coagulation-diffusion process are derived from a generalisation of the empty-interval method. The main quantity is the conditional probability of finding an empty interval of n consecutive sites, if at distance d a site is occupied by a particle. Closed equations of motion are derived such that the probabilities needed for the calculation of correlators and responses, respectively, are distinguished by different initial and boundary conditions. In this way, the dynamical scaling of these two-time observables is analysed in the longtime ageing regime. A new generalised fluctuation-dissipation ratio with an universal and finite limit is proposed.



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