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Colloids and Interfaces
Volume 8
Issue 4
10.3390/colloids8040044
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Communication

An Adoption of the Fractional Maxwell Model for Characterizing the Interfacial Dilational Viscoelasticity of Complex Surfactant Systems

by
Giuseppe Loglio
1,*,
Agnieszka Czakaj
2,
Ewelina Jarek
2,
Volodymyr I. Kovalchuk
3,*,
Marcel Krzan
2,
Libero Liggieri
1,
Reinhard Miller
4 and
Piotr Warszynski
2
1
Institute of Condensed Matter Chemistry and Technologies for Energy (ICMATE-CNR), Unit of Genova, 16149 Genoa, Italy
2
Jerzy Haber Institute of Catalysis and Surface Chemistry, Polish Academy of Sciences, 30-239 Krakow, Poland
3
Institute of Biocolloid Chemistry, National Academy of Sciences of Ukraine, 03680 Kyiv, Ukraine
4
Institute for Condensed Matter Physics, Technical University Darmstadt, 64289 Darmstadt, Germany
*
Authors to whom correspondence should be addressed.
Colloids Interfaces 2024, 8(4), 44; https://doi.org/10.3390/colloids8040044
Submission received: 30 May 2024 / Revised: 16 July 2024 / Accepted: 25 July 2024 / Published: 30 July 2024
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Abstract

In this communication, the single-element version of the fractional Maxwell model (single FMM) is adopted to quantify the observed behaviour of the interfacial dilational viscoelasticity. This mathematical tool is applied to the results obtained by the oscillating drop method for aqueous solutions of ethyl lauroyl arginate (LAE). The single FMM adequately fits the experimental results, fairly well characterizing the frequency dependence of the modulus and the inherent phase-shift angle of the complex physical quantity, i.e., the interfacial dilational viscoelasticity. Further speculations are envisaged to apply the FMM to step perturbations in the time domain, allowing for the same parameter set as in the frequency domain.
Keywords: ethyl lauroyl arginate (LAE); fractional Maxwell model (FMM); interfacial dilational viscoelasticity; mixed-surfactant adsorption layer ethyl lauroyl arginate (LAE); fractional Maxwell model (FMM); interfacial dilational viscoelasticity; mixed-surfactant adsorption layer
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MDPI and ACS Style

Loglio, G.; Czakaj, A.; Jarek, E.; Kovalchuk, V.I.; Krzan, M.; Liggieri, L.; Miller, R.; Warszynski, P. An Adoption of the Fractional Maxwell Model for Characterizing the Interfacial Dilational Viscoelasticity of Complex Surfactant Systems. Colloids Interfaces 2024, 8, 44. https://doi.org/10.3390/colloids8040044

AMA Style

Loglio G, Czakaj A, Jarek E, Kovalchuk VI, Krzan M, Liggieri L, Miller R, Warszynski P. An Adoption of the Fractional Maxwell Model for Characterizing the Interfacial Dilational Viscoelasticity of Complex Surfactant Systems. Colloids and Interfaces. 2024; 8(4):44. https://doi.org/10.3390/colloids8040044

Chicago/Turabian Style

Loglio, Giuseppe, Agnieszka Czakaj, Ewelina Jarek, Volodymyr I. Kovalchuk, Marcel Krzan, Libero Liggieri, Reinhard Miller, and Piotr Warszynski. 2024. "An Adoption of the Fractional Maxwell Model for Characterizing the Interfacial Dilational Viscoelasticity of Complex Surfactant Systems" Colloids and Interfaces 8, no. 4: 44. https://doi.org/10.3390/colloids8040044

APA Style

Loglio, G., Czakaj, A., Jarek, E., Kovalchuk, V. I., Krzan, M., Liggieri, L., Miller, R., & Warszynski, P. (2024). An Adoption of the Fractional Maxwell Model for Characterizing the Interfacial Dilational Viscoelasticity of Complex Surfactant Systems. Colloids and Interfaces, 8(4), 44. https://doi.org/10.3390/colloids8040044

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