"Anomalous dynamics in complex systems"
Prof. Trifce Sandev
Macedonian Academy of Sciences and Arts, Skopje, Macedonia
Fecha: 17 de enero 2024, 14:00 hrs.
Ubicación: Sala de usos múltiples (piso 6)
Transmisión: Vía YouTube
Following massive advances in microscopic and macroscopic single-particle tracking and supercomputing, the theoretical investigation of fluctuations and anomalous dynamics in complex systems is of high current interest. Modeling random walks and stochastic processes in complex systems, requires an interdisciplinary approach due to the different applications in various fields, such as physics, biology, chemistry, engineering, computer science, economy, etc. Various studies of tracer diffusion, for instance, in biological cells and in heterogeneous and porous media showed that the underlying structure of the environment has a strong effect on the particle movement, leading to anomalous dynamics due to, e.g., the constrained particle motion or due to the variation of the local diffusion coefficient and the potential energy function. In this talk I will give an overview of different approaches and mathematical tools needed for description of the anomalous dynamics.
References:
[1] P. Trajanovski, P. Jolakoski, K. Zelenkovski, A. Iomin, L. Kocarev, and T. Sandev, Phys. Rev. E 107, 054129 (2023).
[2] T. Sandev and A. Iomin, Special Functions of Fractional Calculus: Applications to Diffusion and Random SEarch Processes (World Scientific, 2022).
[3] T. Sandev, L. Kocarev, R. Metzler, and A. Chechkin, Chaos Solitons & Fractals 156, 112878 (2022).
[4] T. Sandev, V. Domazetoski, L. Kocarev, R. Metzler, and A. Chechkin, J. Phys. A: Math. Theor. 55, 074003 (2022).
[5] T. Sandev, A. Iomin, and L. Kocarev, Phys. Rev. E 102, 042109 (2020).
[6] K. Górska, A. Horzela, E. K. Lenzi, G. Pagnini, and T. Sandev, Phys. Rev. E 102, 022128 (2020).
[7] T. Sandev and Z. Tomovski, Fractional Equations and Motelds: Theory and Applications (Springer Nature, 2019).
[8] T. Sandev, A. Iomin, and H. Kantz, Phys. Rev. E 95, 052107 (2017).
[9] T. Sandev, A. Iomin, and H. Kantz, Phys. Rev. E 91, 032108 (2015).
[10] T. Sandev, A. V. Chechkin, N. Korabel, H. Kantz, I. M. Sokolov, and R. Metzler, Phys. Rev. E 92, 042117 (2015).