Field-theoretic formalism for several polymers
- 1 March 1976
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 9 (3), 451-461
- https://doi.org/10.1088/0305-4470/9/3/015
Abstract
De Gennes' proposal (see J. Physique Lett., vol.36, p.55 (1975)) that the n to 0 limit of an O(n) symmetric theta 4 theory describes a single polymer chain in solution is extended to allow for the interactions between several polymer chains. To describe m interacting polymers, it is found to be necessary to employ an (m*n)-component field theory before taking the n to 0 limit. Explicit calculation of the second virial coefficient of the osmotic pressure for self-avoiding walks on a Bethe lattice is performed to illustrate the formalism.Keywords
This publication has 7 references indexed in Scilit:
- Renormalization group calculation of polymer properties in dilute solutionJournal of Physics A: General Physics, 1976
- Critical properties of many-component systemsPhysical Review B, 1975
- The Lagrangian theory of polymer solutions at intermediate concentrationsJournal de Physique, 1975
- An exact relation between the classical n-vector model ferromagnet and the self-avoiding walk problemJournal of Physics C: Solid State Physics, 1973
- Exponents for the excluded volume problem as derived by the Wilson methodPhysics Letters A, 1972
- Renormalization of the Linked-Cluster Expansion for a Classical MagnetPhysical Review B, 1969
- The second osmotic virial coefficient of athermal polymer solutionsProceedings of the Physical Society, 1967