TY - JOUR

T1 - Aggregation with constant kernel under stochastic resetting

AU - Grange, Pascal

N1 - Publisher Copyright:
© 2021 IOP Publishing Ltd.

PY - 2021/7

Y1 - 2021/7

N2 - The model of binary aggregation with constant kernel is subjected to stochastic resetting: aggregates of any size explode into monomers at independent stochastic times. These resetting times are Poisson distributed, and the rate of the process is called the resetting rate. The master equation yields a Bernoulli-type equation in the generating function of the concentration of aggregates of any size, which can be solved exactly. This resetting prescription leads to a non-equilibrium steady state for the densities of aggregates, which is a function of the size of the aggregate, rescaled by a function of the resetting rate. The steady-state density of aggregates of a given size is maximized if the resetting rate is set to the quotient of the aggregation rate by the size of the aggregate (minus one).

AB - The model of binary aggregation with constant kernel is subjected to stochastic resetting: aggregates of any size explode into monomers at independent stochastic times. These resetting times are Poisson distributed, and the rate of the process is called the resetting rate. The master equation yields a Bernoulli-type equation in the generating function of the concentration of aggregates of any size, which can be solved exactly. This resetting prescription leads to a non-equilibrium steady state for the densities of aggregates, which is a function of the size of the aggregate, rescaled by a function of the resetting rate. The steady-state density of aggregates of a given size is maximized if the resetting rate is set to the quotient of the aggregation rate by the size of the aggregate (minus one).

KW - aggregation process

KW - stochastic processes

KW - stochastic resetting

UR - http://www.scopus.com/inward/record.url?scp=85109021348&partnerID=8YFLogxK

U2 - 10.1088/1751-8121/ac0709

DO - 10.1088/1751-8121/ac0709

M3 - Article

AN - SCOPUS:85109021348

SN - 1751-8113

VL - 54

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 29

M1 - 294001

ER -