Renormalisation group study of polyelectrolyte chains
- 1 June 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (6) , 1357-1381
- https://doi.org/10.1088/0305-4470/14/6/014
Abstract
The behaviour of long unscreened polyelectrolyte chains is studied using field-theoretic renormalisation group methods based on the renormalisation procedure of t'Hooft and Veltman (1972). It is shown that a fixed point exists near dimension six and details are given of the calculation of the critical exponents up to O( epsilon 2). It is also shown exactly that, as long as a fixed point exists, the radius of gyration RG is given by RG approximately Nv with nu =2/(d-2).Keywords
This publication has 11 references indexed in Scilit:
- Polymer expansion of the quantum many-body problemPhysics Letters A, 1980
- Polymer excluded volume exponent v : An experimental verification of the n vector model for n = 0Journal de Physique Lettres, 1980
- Renormalization of the Potts modelJournal of Physics A: General Physics, 1976
- Remarks on polyelectrolyte conformationJournal de Physique, 1976
- Solutions of Flexible Polymers. Neutron Experiments and InterpretationMacromolecules, 1975
- The Lagrangian theory of polymer solutions at intermediate concentrationsJournal de Physique, 1975
- Regularization and renormalization of gauge fieldsNuclear Physics B, 1972
- Exponents for the excluded volume problem as derived by the Wilson methodPhysics Letters A, 1972
- The theory of polymer solutions at intermediate concentrationProceedings of the Physical Society, 1966
- Problems in the physical chemistry of polyelectrolytesJournal of Polymer Science, 1954