# 30th Marian Smoluchowski Symposium on Statistical Physics

Sep 3 – 8, 2017
Poland timezone

## Studies on the structure - diffusion relationship for polymer membranes with different surface morphology

Not scheduled
15m
poster

### Speaker

Michał Cieśla (M. Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland)

### Description

The relationship between membranes morphology, which is characterized by different parameters, and the characteristics of diffusive transport in the membranes is studied. Membranes comprising of polymer with dispersed inorganic fillers are characterized by polymer matrix density, its fractal dimension, the average size of domains and average number of near obstacles. Diffusive transport is investigated by simulation of a particle motion in the membrane environment. Comparison of diffusion driven by Gaussian random walk and Lévy flights shows that the effective diffusion exponent at long time limit is subdiffusive and it does not depend on the details of the underlying random process causing diffusion. Additionally, the determined ergodicity breaking parameter shows nonergodic behavior in the case of structures that consist of a mix of a large number of small obstacles. Analysis of several parameters describing membrane structure shows that the most important factor for diffusion character is the average size of domain penetrated by diffusing particle. Obtained results might be useful in the design and preparation of the membrane structures with specific diffusion properties.  [1] M. Krasowska, A. Rybak, G. Dudek, A. Strzelewicz, K. Pawelek, Z.J. Grzywna, *Structure morphology problems in the air separation by magnetic membranes*, Journal of Membrane Science, **415** 864 (2012) [2] A. Strzelewicz M. Krasowska, G. Dudek, A. Rybak, R. Turczyn, M. Cieśla, *Anomalous diffusion on fractal structure of magnetic membranes*, Acta Physica Polonica B, **44** 955 (2013) [3] M. Cieśla, B. Dybiec, I. Sokolov, E. Gudowska-Nowak, *Taming Lévy flights in confined crowded geometries*, Journal of Chemical Phycics, **142** 16904 (2015) [4] M. Krasowska, A. Strzelewicz , A. Rybak, G. Dudek, M. Cieśla, Structure and transport properties of ethylcellulose membranes with different types and granulation of magnetic powder, Physica A: Statistical Mechanics and its Applications, **452** 241 (2016) [5] M. Cieśla, E. Gudowska-Nowak, F. Sagues, I.M. Sokolov, *Tracer diffusion inside fibrinogen layers*, Journal of Chemical Phycics, **144** 044706 (2014) [6] M. Krasowska, A. Strzelewicz, G. Dudek, M. Cieśla, *Structure-diffusion relationship of polimer membranes with different texture*, Physical Review E **95**, 012155 (2017)

### Primary authors

Anna Strzelewicz (Department of Physical Chemistry and Technology of Polymers, Silesian University of Technology, Gliwice, Poland) Gabriela Dudek (Department of Physical Chemistry and Technology of Polymers, Silesian University of Technology, Gliwice, Poland) Michał Cieśla (M. Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland) Monika Krasowska (Department of Physical Chemistry and Technology of Polymers, Silesian University of Technology, Gliwice, Poland)

### Presentation materials

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