SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 44: Poster: Statistical Physics

DY 44.10: Poster

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

Stochastic dynamics with multiplicative noise under resetting — •Trifce Sandev1,2,3, Ljupco Kocarev1,3, Ralf Metzler2,4, and Aleksei Chechkin2,5,61Macedonian Academy of Sciences and Arts, Skopje, Macedonia — 2University of Potsdam, Germany — 3Ss. Cyril and Methodius University in Skopje, Macedonia — 4Asia Pacific Center for Theoretical Physics, Pohang, Republic of Korea — 5Wroclaw University of Science and Technology, Poland — 6Akhiezer Institute for Theoretical Physic, Kharkiv, Ukraine

We analyze different stochastic processes with multiplicative noise under resetting in non-homogeneous media. We use the subordination approach, which is a powerful technique for solving various diffusion and Fokker-Planck equations, to analyze the probability density functions and the mean squared displacements. Additionally, we show that such systems under stochastic resetting reach non-equilibrium stationary states. The transition to the non-equilibrium stationary states is analyzed in terms of the large deviation function, by employing the Laplace approximation of the integral in the renewal equation for the probability density of the process with resetting events.

[1] T. Sandev, V. Domazetoski, L. Kocarev, R. Metzler, A. Chechkin, J. Phys. A: Math. Theor. 55, 074003 (2022).

[2] T. Sandev, L. Kocarev, R. Metzler, A. Chechkin, Chaos, Solitons & Fractals 156, 112878 (2022).

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