# SKM 2023 – wissenschaftliches Programm

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# DY: Fachverband Dynamik und Statistische Physik

## DY 44: Poster: Statistical Physics

### DY 44.19: Poster

### Donnerstag, 30. März 2023, 13:00–16:00, P1

Ornstein-Uhlenbeck process on three dimensional comb structure under stochastic resetting — •Pece Trajanovski^{1}, Petar Jolakoski^{1}, Kiril Zelenkovski^{1}, Alexander Iomin^{2}, Ljupco Kocarev^{1,4}, and Trifce Sandev^{1,3,4} — ^{1}Macedonian Academy of Sciences and Arts, Skopje, Macedonia — ^{2}Department of Physics, Technion, Haifa, Israel — ^{3}University of Potsdam, Germany — ^{4}Ss. Cyril and Methodius University in Skopje, Macedonia

The Ornstein-Uhlenbeck (O-U) process is a generalised diffusion process, introduced as a model for the velocity of a particle undergoing a Brownian motion confined in harmonic potential. The process is a stationary, meaning that over time, it tends to drift towards its long-time mean function: such a process is called mean-reverting. Here, we investigate the influence of the three dimensional comb structure and the stochastic resetting on the particle dynamics governed by O-U processes along the backbone (x-direction) and the main fingers (y-direction) and standard Wiener process along the secondary fingers of the comb (z-direction). The explicit analytical expressions for the first moment and mean squared displacement along all three directions are calculated and confirmed numerically. The marginal probability density functions along all directions are simulated by using coupled Langevin equations for comb geometry.