# 31st Marian Smoluchowski Symposium on Statistical Physics

2-7 September 2018
Europe/Warsaw timezone

## Studies on the structure - diffusion relationship for hybrid polymer membranes

6 Sep 2018, 15:00
3h
poster

### Speakers

Mr. Michal Ciesla (M. Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland)Dr. Monika Krasowska (Silesian University of Technology)

### Description

Hybrid alginate membranes filled with various amount of magnetite ($Alg/Fe_{3}O_{4}$) and crosslinked using four different agents, i.e. calcium chloride ($AlgCa$), phosphoric acid ($AlgP$), glutaraldehyde ($AlgGA$) and citric acid ($AlgC$) were applied in pervaporative dehydration of ethanol and were described in paper [1]. In this work, the membranes are characterized by the parameters like: the amount of polymer matrix, the fractal dimension of polymer matrix, the average size of polymer matrix domains, the average number of obstacles in the proximity of each polymer matrix pixel. Determination of the above mentioned characteristics base on the image analysis of a sufficiently large cross -- sections of the membranes. Diffusive transport is investigated by simulation of a particle motion in the membrane environment. Diffusion driven by Gaussian random walk and L\’evy flights is shown in order to check if the effective diffusion exponent at long time limit is subdiffusive and if it depends on the details of the underlying random process causing diffusion. Thanks to such research the relationship between chemical composition, structure and morphology, and separation properties of the membranes can be determined. [1] G. Dudek, M. Krasowska, R. Turczyn, M. Gnus, A. Strzelewicz, Structure, morphology and separation efficiency of hybrid $Alg/Fe_{3}O_{4}$ membranes in pervaporative dehydration of ethanol, Separation and Purification Technology 182 (2017) 101–109 [2] M. Krasowska, A. Strzelewicz, G. Dudek, M. Cieśla, Structure-diffusion relationship of polymer membranes with different texture, Physical Review E 95, 012155 (2017) [3] A. Strzelewicz M. Krasowska, G. Dudek, A. Rybak, R. Turczyn, M. Cie\’sla, Anomalous diffusion on fractal structure of magnetic membranes, ActaPhysicaPolonica B, 44 (2013) 955-965 [4] M. Krasowska, A. Strzelewicz , A. Rybak, G. Dudek, M. Cie\’sla, Structure and transport properties of ethylcellulose membranes with different types and granulation of magnetic powder, Physica A: Statistical Mechanics and its Applications, 452 (2016) 241–250

### Primary author

Dr. Anna Strzelewicz (Silesian University of Technology)

### Co-authors

Dr. Gabriela Dudek (Silesian University of Technology) Mr. Michal Ciesla (M. Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland) Dr. Monika Krasowska (Silesian University of Technology)

### Presentation Materials

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