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

M. Kolesík

Physica A: Statistical Mechanics and its Applications, 1994, vol. 202, issue 3, 529-539

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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:202:y:1994:i:3:p:529-539

DOI: 10.1016/0378-4371(94)90477-4

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