Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 47, Issue 4, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/47/4/045002
Keywords
stochastic processes; exactly solvable model; population dynamics
Categories
Funding
- College Doctoral franco-allemand Nancy-Leipzig-Coventry (Systemes complexes a l'equilibre et hors equilibre) of UFA-DFH
- MEST [2010-0026627]
- National Research Foundation of Korea [2010-0026627, PG047701] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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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, then 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 dominate.
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