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Universality of Osmotic Equation of State in Star Polymer Solutions

2023/02/27 by Takashi Yasuda, Masanobu Ino, Yasuda, Takashi +5 · 1 citation
Engineering · #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Fuel Cells and Related Materials #Materials Science (cond-mat.mtrl-sci) #Membrane-based Ion Separation Techniques #Nanopore and Nanochannel Transport Studies #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2302.13669

openalex publication_date 2023/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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