Stochastic resetting on comblike structures
Viktor Domazetoski, Axel Masó-Puigdellosas, Trifce Sandev, Vicenç Méndez, Alexander Iomin, Ljupco Kocarev
Abstract
This paper investigates the effect of stochastic resetting in a diffusion process on a three-dimensional comb geometry. The authors analyze the transient dynamics for three different types of resetting: global resetting to the initial position, resetting from a finger to the corresponding backbone and resetting from secondary fingers to the main fingers, and show the solutions for the stationary distribution and the mean square displacement.
Topics & Concepts
Transient (computer programming)Stochastic processDynamics (music)Process (computing)Control theory (sociology)Square (algebra)MathematicsStationary distributionDistribution (mathematics)Computer scienceDiffusionFirst-hitting-time modelStatistical physicsDiffusion processMean squareProbability distributionTransient responseProcess dynamicsPhysicsMarkov processSteady state (chemistry)Transient analysisNoise (video)Diffusion and Search Dynamicsstochastic dynamics and bifurcationQuantum chaos and dynamical systems