TY - JOUR A1 - Kurilovich, Aleksandr A. A1 - Mantsevich, Vladimir N. A1 - Mardoukhi, Yousof A1 - Stevenson, Keith J. A1 - Chechkin, Aleksei A1 - Palyulin, Vladimir V. T1 - Non-Markovian diffusion of excitons in layered perovskites and transition metal dichalcogenides T2 - Physical chemistry, chemical physics : a journal of European Chemical Societies N2 - The diffusion of excitons in perovskites and transition metal dichalcogenides shows clear anomalous, subdiffusive behaviour in experiments. In this paper we develop a non-Markovian mobile-immobile model which provides an explanation of this behaviour through paired theoretical and simulation approaches. The simulation model is based on a random walk on a 2D lattice with randomly distributed deep traps such that the trapping time distribution involves slowly decaying power-law asymptotics. The theoretical model uses coupled diffusion and rate equations for free and trapped excitons, respectively, with an integral term responsible for trapping. The model provides a good fitting of the experimental data, thus, showing a way for quantifying the exciton diffusion dynamics. Y1 - 2022 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/63698 SN - 1463-9076 SN - 1463-9084 VL - 24 IS - 22 SP - 13941 EP - 13950 PB - Royal Society of Chemistry CY - Cambridge ER -