Regensburg 2019 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 35: Modeling and Simulation of Soft Matter I (joint session CPP/DY)
DY 35.3: Vortrag
Mittwoch, 3. April 2019, 15:30–15:45, H18
Is there a universal equation of state for flexible polymers beyond the semi-dilute regime? — •Jaroslaw Paturej1,2, Jens-Uwe Sommer1, and Torsten Kreer1 — 1Leibniz Institute of Polymer Research, Dresden, Germany — 2University of Szczecin, Szczecin, Poland
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 semi-dilute regimes. We suggest a generalized EoS which extends the universal behavior of polymer solutions up to the highly concentrated state and confirmed it by molecular dynamics simulations and using 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.