Variational theory for a single polyelectrolyte chain

European Physical Journal B

Volumn 8, Issue 1, 1999, Pages 81-98

  Netz, R R ^a,b   Orland, H ^a  

^a CEA SACLAY   (France)

^b MAX PLANCK INSTITUTE OF COLLOIDS AND INTERFACES   (Germany)

Author keywords

36.20. r Macromolecules and polymer molecules; 61.25.Hq Macromolecular and polymer solutions; polymer melts; swelling; 87.15. v Molecular biophysics

Indexed keywords

EID: 0042786506     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050671     Document Type: Article

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34. P defined as the crossover between the persistent and the isotropically swollen behavior, obtained in Section 4, equation (71), only agree for dimensionality d = 3. Since the two definitions describe two different quantities, there is no apriori reason why the two calculations should yield the same result, and the agreement in three dimensions might be purely coincidental.
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38. P is inconsistent, since our formalism assumes at all stages an asymptotic swelling behavior determined by v = 2/d. As a more formal argument, we note that it is simply impossible to divide out the dependence on d in our final expressions into a part which is related to v, and therefore depends on the actual swelling exponent, and a part which explicitly depends on d, and thus does not depend on the swelling parameter.