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)|
|Number of pages||11|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - Jan 15 1994|
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics