The scaling behaviour of screened polyelectrolytes
Max-Planck-Institut für Polymerforschung,
Postfach 3148, D-55021 Mainz, Germany
Accepted: 20 October 1997
We present a field-theoretic renormalization group (RG) analysis of a single flexible, screened polyelectrolyte chain (a Debye-Hückel chain) in a polar solvent. We point out that the Debye-Hückel chain may be mapped onto a local field theory which has the same fixed point as a generalised Potts model. Systematic analysis of the field theory shows that the system is one with two interplaying length scales requiring the calculation of scaling functions as well as exponents to fully describe its physical behaviour. To illustrate this, we solve the RG equation and explicitly calculate the exponents and the mean end-to-end length of the chain.
PACS: 05.20.-y – Statistical mechanics / 36.20.-r – Macromolecules and polymer molecules / 64.60.-i – General studies of phase transitions
© EDP Sciences, 1997