ArticleAdvanced science (Weinheim, Baden-Wurttemberg, Germany)2024
Graph Theoretical Description of Phase Transitions in Complex Multiscale Phases with Supramolecular Assemblies.
Article in Advanced science (Weinheim, Baden-Wurttemberg, Germany), 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Functional diversity and specialization decoded: Implications for complex particle systems, NeuroAI, and hybrid human-AI ecosystems.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Ionic Liquids as Antibacterial and Drug Delivery Agents: How Cationic Amphiphilic Structure Controls Morphology Changes in Lipid Bilayers and Penetration Mechanism.The journal of physical chemistry. B · 2026Article
- Mechanical annealing in a soft granular layer under cyclic shear at varying frequencies.Scientific reports · 2026Article
- AnFrontiers in chemistry · 2026Article
- Liquid crystal-driven interfacial ordering of colloidal microplastics: Advancing microplastic characterization below the macroscale.Science advances · 2025Article
- Aramid Nanofiber Aerogels: Versatile High Complexity Components for Multifunctional Composites.Advanced materials (Deerfield Beach, Fla.) · 2025Review
- Domain Segregation in Ionic Liquids Induces Long-Range Oscillatory Forces between Nanoparticles and Surfaces.ACS nanoscience Au · 2025Article
- Article
- Graph Theoretical Description of Phase Transitions in Complex Multiscale Phases with Supramolecular Assemblies.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2024Article
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Authors and funding
8 authors.
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Abstract
Phase transitions are typically quantified using order parameters, such as crystal lattice distances and radial distribution functions, which can identify subtle changes in crystalline materials or high-contrast phases with large structural differences. However, the identification of phases with high complexity, multiscale organization and of complex patterns during the structural fluctuations preceding phase transitions, which are essential for understanding the system pathways between phases, is challenging for those traditional analyses. Here, it is shown that for two model systems- thermotropic liquid crystals and a lyotropic water/surfactant mixtures-graph theoretical (GT) descriptors can successfully identify complex phases combining molecular and nanoscale levels of organization that are hard to characterize with traditional methodologies. Furthermore, the GT descriptors also reveal the pathways between the different phases. Specifically, centrality parameters and node-based fractal dimension quantify the system behavior preceding the transitions, capturing fluctuation-induced breakup of aggregates and their long-range cooperative interactions. GT parameterization can be generalized for a wide range of chemical systems and be instrumental for the growth mechanisms of complex nanostructures.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.