On the Divergence of the Perturbation Series for the Excluded-Volume Problem in Polymers

Yoshitsugu Oono

Research output: Contribution to journalArticle

Abstract

For a lattice polymer on the cubic lattice and for a Gaussian polymer in three dimensional space, it is proved that the square of the expansion factor α is zero for negative real z. the measure of the strength of the intrachain interaction, when the polymer length becomes infinite under the condition that z is kept finite. This fact implies that the perturbation series for α2(z) is not convergent except at z=0.

Original languageEnglish (US)
Pages (from-to)25-29
Number of pages5
JournalJournal of the Physical Society of Japan
Volume39
Issue number1
DOIs
StatePublished - Jan 1 1975

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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