Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Articles dans des revues à comité de lecture

Statistical mechanics of the coagulation-diffusion process with a stochastic reset
Durang X.,Henkel M., Park H.
J. Phys. A: Theor. Math. 47 (2014) 045002
DOI : 10.1088/1751-8113/47/4/045002
ArXiv : arxiv:1309.2107 [PDF]

The effects of a stochastic reset, to its initial configuration, is studied in the exactly solvable one-dimensional coagulation-diffusion process. A finite resetting rate leads to a modified non-equilibrium stationary state. If in addition the input of particles at a fixed given rate is admitted, a competition between the resetting and the input rates leads to a non-trivial behaviour of the particle-density in the stationary state. From the exact inter-particle probability distribution, a simple physical picture emerges: the reset mainly changes the behaviour at larger distance scales, while at smaller length scales, the non-trivial correlation of the model without a reset dominates.



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