Speaker: Trifce Sandev

Macedonian Academy of Sciences and Arts, Skopje, Macedonia
Institute of Physics, Faculty of Natural Sciences and Mathematics, Ss. Cyril and Methodius
University in Skopje, Macedonia
Department of Physics, Korea University, Seoul, Korea

Time : 15:00 - 16.00 CEST (Rome/Paris)

Hosted at: SISSA, International School of Advanced Studies, Trieste, Italy

Zoom :  A zoom meeitng link will appear here, one hour before the talk

Organizers : Pavan Pranjivan Mehta* (pavan.mehta@sissa.it) and Arran Fernandez** (arran.fernandez@emu.edu.tr)

* SISSA, International School of Advanced Studies, Italy

** Eastern Mediterranean University, Northern Cyprus

Keywords:  Heterogeneous diffusion, Fractional calculus, Stochastic resetting

Abstract: In this talk I will present fractional generalizations of the heterogeneous diffusion and telegrapher’s equations, which can be obtained from the standard heterogeneous diffusion and telegrapher’s equations subordinated by Lévy noise. The corresponding processes in the presence of stochastic resetting can be analyzed by using the renewal equation approach. It will be shown that in both cases the systems approach non-equilibrium stationary states in the long-time limit as a result of the resetting of the particle to the initial position. The survival probabilities, the first-passage time densities, and the mean first-passage times in the presence of Poissonian resetting of the particle to the initial position will be obtained, and it will be shown that there are optimal resetting rates at which the mean first-passage times are minimal.

Biography: Trifce Sandev is working as a Research Associate at the Research Center for Computer Science and Information Technologies, Macedonian Academy of Sciences and Arts in Skopje. He also holds a position of Associate Professor of Theoretical Physics at the Institute of Physics, Faculty of Natural Sciences and Mathematics, Ss. Cyril and Methodius University in Skopje and Adjunct Professor of the Department of Physics, Korea University in Seoul. After completing his Ph.D. in theoretical physics in 2012 at Ss. Cyril and Methodius University in Skopje, he was a postdoctoral researcher and guest scientist at the Max Planck Institute for the Physics of Complex Systems in Dresden. He was awarded the Presidential Award for Best Young Scientist in Macedonia in 2011, the National Award ``Goce Delcev'' in 2023 for his significant contributions to science in Macedonia in 2022, as well as research fellowship for experienced researchers for conducting research at the University of Potsdam in the period 2020 – 2022 from Alexander von Humboldt foundation. His main research interest is in stochastic processes in complex systems, anomalous diffusion, random search and stochastic resetting, as well as quantum mechanical systems with non-local interactions.

Bibliography

[1] T. Sandev, R. K. Singh, V. M´endez, L. Kocarev, Physical Review E 111 (4), 044105 (2025)
[2] T. Sandev, A. Iomin, J. Kurths, L. Kocarev, Physics of Fluids 37 (6), 067101 (2025)

[3] P. Jolakoski, P. Trajanovski, A. Iomin, L. Kocarev, T. Sandev, Europhysics Letters 149 (4), 41004 (2025)
[4] T. Sandev, A. Iomin, Physical Review E 110 (2), 024101 (2024)

[5] A. Pal, V. Stojkoski, T. Sandev, Random resetting in search problems. In Target Search Problems (Springer Nature: Cham, 2024), pp. 323-355