A scaling method for asymptotic analysis of power series

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

A new method is proposed for asymptotic analysis of power series. In the method the author uses the relation that an n-term power series of a singular quantity with critical exponent beta behaves asymptotically like n - beta at the phase transition point. The method is tested on known series with satisfactory results and used to analyse the power series of the two-dimensional three-state Potts model of Enting, in good agreement with den Nijs' conjecture.

Original languageEnglish
Article number029
Pages (from-to)3077-3086
Number of pages10
JournalJournal of Physics A: General Physics
Volume19
Issue number15
DOIs
Publication statusPublished - 1986

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Potts model
Asymptotic analysis
power series
Power series
Asymptotic Analysis
Phase transitions
Scaling
scaling
Potts Model
transition points
Critical Exponents
Phase Transition
exponents
Series
Term

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

A scaling method for asymptotic analysis of power series. / Iglói, F.

In: Journal of Physics A: General Physics, Vol. 19, No. 15, 029, 1986, p. 3077-3086.

Research output: Contribution to journalArticle

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