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Universality of Osmotic Equation of State in Star Polymer Solutions

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arxiv 2302.13669 v1 pith:4JKTYPNZ submitted 2023-02-27 cond-mat.soft cond-mat.mtrl-scicond-mat.stat-mechphysics.chem-ph

Takashi Yasuda , Masanobu Ino , Takamasa Sakai , Naoyuki Sakumichi This is my paper · ORCID
classification cond-mat.softcond-mat.mtrl-scicond-mat.stat-mechphysics.chem-ph
keywords osmoticpolymersolutionsstaruniversalitylinearnumberpolymers
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We experimentally measure the osmotic pressures of linear polymers and three-, four-, and eight-arm star polymers in a good solvent via membrane osmometry. These results reveal that the osmotic equations of state in the star polymer solutions are universally described by the same scaling function that describes linear polymer solutions. This universality is achieved by canceling increasing overlap concentrations and decreasing osmotic pressure, owing to the increased arm number. We further clarify the molar mass and arm number dependencies of the gyration radius and interpenetration factor, ensuring universality in star polymer solutions.

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  1. Partitioning Law of Polymer Chains into Flexible Polymer Networks

    cond-mat.soft 2025-05 conditional novelty 7.0 of 10

    For model PEG hydrogels, the equilibrium partition constant of linear polymer chains follows exp(-4(Rg/lcycle)^2), with lcycle the elastically effective network cycle length.

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