The scaling behaviour of screened polyelectrolytes

Details The scaling behaviour of screened polyelectrolytes The scaling behaviour of screened polyelectrolytes

1997-07-03

arxiv.org/abs/cond-mat/9707036v2

Europhysics Letters, vol 40, pp 485-490 (1997)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 1 figure; changed title and slight modification to text

Scientific paper

10.1209/epl/i1997-00492-x

We present a field-theoretic renormalization group (RG) analysis of a single flexible, screened polyelectrolyte chain (a Debye-H\"uckel chain) in a polar solvent. We point out that the Debye-H\"uckel chain may be mapped onto a local field theory which has the same fixed point as a generalised $n \to 1$ 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.

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