No-free-ends method for lattice animals and vertex models with arbitrary number of states

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A new no-free-ends method for generating power series expansions for vertex models with arbitrary number of states is described. It is based on first-order differential equations providing a recurrent relation connecting the free-ends part of the series expansion in the (n + 1)th order with the nth and (n - 1)th order of the complete expansion. The number of necessary no-free-ends graphs can be further reduced for symmetric systems by eliminating the nodes which have two neighbors and their incident bonds are in different states.

Original languageEnglish (US)
Pages (from-to)529-539
Number of pages11
JournalPhysica A: Statistical Mechanics and its Applications
Issue number3-4
StatePublished - Jan 15 1994
Externally publishedYes


ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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