Virial expansion of a two-dimensional polymer chain: cancellation of logarithmic terms
- 1 September 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (9) , L373-L375
- https://doi.org/10.1088/0305-4470/14/9/011
Abstract
A virial expansion is developed for a two-dimensional polymer chain in the two-parameter approximation. Logarithmic terms in the partition function arise from ladder graphs, in contrast to the three-dimensional chain where they are due to non-ladder graphs. When the mean square end-to-end distance (RN2) is calculated the logarithmic terms cancel to all orders, thus verifying universality.Keywords
This publication has 5 references indexed in Scilit:
- Virial expansion for a polymer chain: the two parameter approximationProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1979
- On the Divergence of the Perturbation Series for the Excluded-Volume Problem in PolymersJournal of the Physics Society Japan, 1975
- A note on the convergence of perturbation theory in polymer problemsJournal of Physics A: General Physics, 1975
- Cluster expansion for a polymer chainJournal of Physics C: Solid State Physics, 1972
- Theory of Excluded Volume in Coiled Polymers: Cumulant ExpansionThe Journal of Chemical Physics, 1970