ArticleSoft matter2017
Flory theory of randomly branched polymers.
Article in Soft matter, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 21 papers.
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Who cites it
21 citing papers in PubMed.
- Matrix metalloproteinase-mediated degradation governs angioarchitecture within poly(ethylene Glycol) hydrogels.Acta biomaterialia · 2026Article
- Self-assembly Monte Carlo reveals localized entanglement in giant polymer melts.Nature communications · 2026Article
- Protein-Directed Nucleation and Stabilization of Ultrasmall Silver Nanoparticles Within BSA Hydrogels.Gels (Basel, Switzerland) · 2026Article
- Polymer Matrices for Reversible Thermogelling Hydrogels: Principles, Fabrication, and Drug Delivery Prospects.Polymers · 2026Review
- Water Sorption and Structural Properties of Human Airway Mucus in Health and Muco-Obstructive Diseases.Biomacromolecules · 2024Article
- Topology-Based Detection and Tracking of Deadlocks Reveal Aging of Active Ring Melts.ACS macro letters · 2024Article
- DNA supercoiling in bacteria: state of play and challenges from a viewpoint of physics based modeling.Frontiers in microbiology · 2023Review
- Entanglement Length Scale Separates Threading from Branching of Unknotted and Non-concatenated Ring Polymers in Melts.Macromolecules · 2022Article
- Deconstruction and Reassembly of Renewable Polymers and Biocolloids into Next Generation Structured Materials.Chemical reviews · 2021Review
- Quantification of branching within high molecular weight polymers with polyester backbones formed by transfer-dominated branching radical telomerisation (TBRT).RSC advances · 2021Article
- Topological tuning of DNA mobility in entangled solutions of supercoiled plasmids.Science advances · 2021Article
- Influence of crowding agents on the dynamics of a multidomain protein in its denatured state: a solvation approach.European biophysics journal : EBJ · 2020Article
- Article
- Influence of Branching on the Configurational and Dynamical Properties of Entangled Polymer Melts.Polymers · 2019Article
- The Rabl configuration limits topological entanglement of chromosomes in budding yeast.Scientific reports · 2019Article
- Influence of knot complexity on glass-formation in low molecular mass ring polymer melts.The Journal of chemical physics · 2019Article
- Conformational statistics of randomly branching double-folded ring polymers.The European physical journal. E, Soft matter · 2019Article
- The Ising model in swollen vs. compact polymers: Mean-field approach and computer simulations.The European physical journal. E, Soft matter · 2018Article
- A comparative study of thermodynamic, conformational, and structural properties of bottlebrush with star and ring polymer melts.The Journal of chemical physics · 2018Article
- The Daoud and Cotton blob model and the interaction of star-shaped polymers.The European physical journal. E, Soft matter · 2018Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
Randomly branched polymer chains (or trees) are a classical subject of polymer physics with connections to the theory of magnetic systems, percolation and critical phenomena. More recently, the model has been reconsidered for RNA, supercoiled DNA and the crumpling of topologically-constrained polymers. While solvable in the ideal case, little is known exactly about randomly branched polymers with volume interactions. Flory theory provides a simple, unifying description for a wide range of branched systems, including isolated trees in good and θ-solvent, and tree melts. In particular, the approach provides a common framework for the description of randomly branched polymers with quenched connectivity and for randomly branching polymers with annealed connectivity. Here we review the Flory theory for interacting trees in the asymptotic limit of very large polymerization degree for good solvent, θ-solutions and melts, and report its predictions for annealed connectivity in θ-solvents. We compare the predictions of Flory theory for randomly branched polymers to a wide range of available analytical and numerical results and conclude that they are qualitatively excellent and quantitatively good in most cases.
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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.