Insights into distorted lamellar phases with small-angle scattering and machine learning

© Chi-Huan Tung et al. 2025.

Bibliographische Detailangaben
Veröffentlicht in:Journal of applied crystallography. - 1998. - 58(2025), Pt 2 vom: 01. Apr., Seite 523-534
1. Verfasser: Tung, Chi-Huan (VerfasserIn)
Weitere Verfasser: Ding, Lijie, Huang, Guan-Rong, Porcar, Lionel, Shinohara, Yuya, Sumpter, Bobby G, Do, Changwoo, Chen, Wei-Ren
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2025
Zugriff auf das übergeordnete Werk:Journal of applied crystallography
Schlagworte:Journal Article Kolmogorov–Arnold networks distorted lamellar phases machine learning regression analysis small-angle scattering
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520 |a Lamellar phases are essential in various soft matter systems, with topological defects significantly influencing their mechanical properties. In this report, we present a machine-learning approach for quantitatively analyzing the structure and dynamics of distorted lamellar phases using scattering techniques. By leveraging the mathematical framework of Kolmogorov-Arnold networks, we demonstrate that the conformations of these distorted phases - expressed as superpositions of complex waves - can be reconstructed from small-angle scattering intensities. Through the contour analysis of wave field phase singularities, we obtain the statistics of the spatial distribution of topological defects. Furthermore, we establish that the temporal evolution of these defects can be derived from the time-dependent traveling wave field, informed by the dispersion relation of spectral components. This method opens new avenues for investigating the dynamics of distorted lamellar phases using various dynamic scattering techniques such as neutron spin echo and X-ray photon correlation spectroscopy. These findings enhance our microscopic understanding of how defects influence the physical properties of lamellar materials, with implications for both equilibrium and non-equilibrium states in general lamellar systems 
650 4 |a Journal Article 
650 4 |a Kolmogorov–Arnold networks 
650 4 |a distorted lamellar phases 
650 4 |a machine learning 
650 4 |a regression analysis 
650 4 |a small-angle scattering 
700 1 |a Ding, Lijie  |e verfasserin  |4 aut 
700 1 |a Huang, Guan-Rong  |e verfasserin  |4 aut 
700 1 |a Porcar, Lionel  |e verfasserin  |4 aut 
700 1 |a Shinohara, Yuya  |e verfasserin  |4 aut 
700 1 |a Sumpter, Bobby G  |e verfasserin  |4 aut 
700 1 |a Do, Changwoo  |e verfasserin  |4 aut 
700 1 |a Chen, Wei-Ren  |e verfasserin  |4 aut 
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