Abstract
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 language | English (US) |
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Pages (from-to) | 529-539 |
Number of pages | 11 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 202 |
Issue number | 3-4 |
DOIs | |
State | Published - Jan 15 1994 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics