We determine the density expansion of the radius of gyration, of the hydrodynamic radius, and of the end-to-end distance for a monodisperse polymer solution in good-solvent conditions. We consider the scaling limit (large degree of polymerization), including the leading scaling corrections. Using the expected large-concentration behavior, we extrapolate these low-density expansions outside the dilute regime, obtaining a prediction for the radii for any concentration in the semidilute region. For the radius of gyration, comparison with field-theoretical predictions shows that the relative error should be at most 5% in the limit of very large polymer concentrations.
Polymer size in dilute solutions in the good-solvent regime / S. Caracciolo, B. M. Mognetti, A.Pelissetto. - In: THE JOURNAL OF CHEMICAL PHYSICS. - ISSN 0021-9606. - 125:9(2006), pp. 094904.094904-1-094904.094904-7.
Polymer size in dilute solutions in the good-solvent regime
S. CaraccioloPrimo
;B. M. MognettiSecondo
;
2006
Abstract
We determine the density expansion of the radius of gyration, of the hydrodynamic radius, and of the end-to-end distance for a monodisperse polymer solution in good-solvent conditions. We consider the scaling limit (large degree of polymerization), including the leading scaling corrections. Using the expected large-concentration behavior, we extrapolate these low-density expansions outside the dilute regime, obtaining a prediction for the radii for any concentration in the semidilute region. For the radius of gyration, comparison with field-theoretical predictions shows that the relative error should be at most 5% in the limit of very large polymer concentrations.Pubblicazioni consigliate
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