TY  - JOUR
A1  - Palyulin, Vladimir V.
A1  - Mantsevich, Vladimir N.
A1  - Klages, Rainer
A1  - Metzler, Ralf
A1  - Chechkin, Aleksei V.
T1  - Comparison of pure and combined search strategies for single and multiple targets
JF  - The European physical journal : B, Condensed matter and complex systems
N2  - We address the generic problem of random search for a point-like target on a line. Using the measures of search reliability and efficiency to quantify the random search quality, we compare Brownian search with Levy search based on long-tailed jump length distributions. We then compare these results with a search process combined of two different long-tailed jump length distributions. Moreover, we study the case of multiple targets located by a Levy searcher.
Y1  - 2017
U6  - https://doi.org/10.1140/epjb/e2017-80372-4
SN  - 1434-6028
SN  - 1434-6036
VL  - 90
SP  - 20
EP  - 37
PB  - Springer
CY  - New York
ER  - 
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
JF  - 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
U6  - https://doi.org/10.1039/d2cp00557c
SN  - 1463-9076
SN  - 1463-9084
VL  - 24
IS  - 22
SP  - 13941
EP  - 13950
PB  - Royal Society of Chemistry
CY  - Cambridge
ER  -