SKM 2023 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 44: Poster: Statistical Physics
DY 44.13: Poster
Donnerstag, 30. März 2023, 13:00–16:00, P1
A generalised rotational diffusion approach to modeling of the dielectric relaxation processes with resetting — •Irina Petreska1, Ljupco Pejov1,2, Trifce Sandev1,3,4, Ljupco Kocarev1,3, and Ralf Metzler4 — 1Ss. Cyril and Methodius University in Skopje, Macedonia — 2University of Stavanger, Norway — 3Macedonian Academy of Sciences and Arts, Skopje, Macedonia — 4University of Potsdam, Germany
We consider the rotational diffusion equation with a generalised memory kernel in the context of dielectric relaxation processes in a medium composed of polar molecules. We give an overview of existing models on non-exponential relaxation and introduce an exponential resetting dynamic in the corresponding process, providing a detailed analysis of the autocorrelation function and complex susceptibility. It is shown that stochastic resetting leads to a saturation of the autocorrelation function to a constant value, in contrast to the case without resetting, for which it decays to zero. The behaviour of the autocorrelation function, as well as the complex susceptibility in the presence of resetting, confirms that the dielectric relaxation dynamics can be tuned by an appropriate choice of the resetting rate.
[1] I. Petreska, Lj. Pejov, T. Sandev, Lj. Kocarev and R. Metzler, Fractal Fract. 6, 88 (2022).