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arXiv · 1309.2107

Statistical mechanics of the coagulation-diffusion process with a stochastic reset

Xavier Durang·Malte Henkel·Hyunggyu Park
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Abstract

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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Xavier Durang, Malte Henkel, Hyunggyu Park. 2013-09-09. Statistical mechanics of the coagulation-diffusion process with a stochastic reset. https://doi.org/10.1088/1751-8113/47/4/045002

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