Authors Paturej, J. ; Sommer, J.-U. ; Kreer, T.
Title Universal Equation of State for Flexible Polymers Beyond the Semidilute Regime
Date 28.03.2019
Number 55468
Abstract We reconsider the isothermal equation of state (EOS) for linear homopolymers in good solvents, p=p(c,T), which relates the osmotic pressure p of polymers with the bulk concentration c and the temperature T. The classical scaling theory predicts the EOS in dilute and semidilute regimes. We suggest a generalized EOS that extends the universal behavior of polymer solutions up to the highly concentrated state and confirm it by molecular dynamics simulations and available experimental data. Our conjecture implies that properties of polymer chains dominate the EOS in the presence of many-body interactions. Our theoretical approach is based on a viral expansion in terms of concentration blobs leading to a superposition of two power laws in the regime of concentrated solutions.
Publisher Physical Review Letters
Citation Physical Review Letters 122 (2019) 087801

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