Abstract
The osmotic pressure P of equilibrium polymers (EP) in a good solvent isinvestigated by means of an off-lattice Monte Carlo simulation. Our results compare well with conformation space renormalisation grouptheory and the osmotic compressibility K as obtained byrecent light scattering measurements of long worm-like micelles. The present study allows for the first time the mapping of therelevant energy scale of a standard coarse-grainedmodel on data from real experiments.We also confirm the scaling predictions for EP in the dilute and semidilute limit.In particular, we find P ∝ ϕ2.3for the scaling of the pressure with the volume fraction ϕand, hence, K ∝ ϕ−0.3 in the semidilute regime -in agreement with both theory and laboratory experiment. At higher concentrations where the semidilute blobs become toosmall and hard-core interactions and packing effects become dominant, a muchstronger increase is evidenced and, consequently, a compressibility that decreases much morerapidly with ϕ than predicted from semidilute polymer theory, but again in agreement with experiment.Our results apply both to EP systems with and without rings.
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